{"id":105409,"date":"2026-11-04T09:24:50","date_gmt":"2026-11-04T07:24:50","guid":{"rendered":"https:\/\/twodots.gr\/?p=105409"},"modified":"2026-11-04T09:24:50","modified_gmt":"2026-11-04T07:24:50","slug":"proofevolve-ai-krata-kathe-sosto-vima-apodeixis","status":"publish","type":"post","link":"https:\/\/twodots.gr\/bg\/proofevolve-ai-krata-kathe-sosto-vima-apodeixis\/","title":{"rendered":"ProofEvolve: \u043a\u043e\u0433\u0430\u0442\u043e \u0438\u0437\u043a\u0443\u0441\u0442\u0432\u0435\u043d\u0438\u044f\u0442 \u0438\u043d\u0442\u0435\u043b\u0435\u043a\u0442 \u043f\u0440\u043e\u0441\u043b\u0435\u0434\u044f\u0432\u0430 \u0432\u0441\u044f\u043a\u0430 \u043f\u0440\u0430\u0432\u0438\u043b\u043d\u0430 \u0441\u0442\u044a\u043f\u043a\u0430 \u0432 \u0435\u0434\u043d\u043e \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0441\u0442\u0432\u043e"},"content":{"rendered":"<p><strong>\u03a4\u03bf ProofEvolve \u03ba\u03c1\u03b1\u03c4\u03ac \u03c4\u03b1 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b1 \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03b1 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1, \u03c4\u03b1 \u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9 \u03c3\u03b5 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03c2 Lean 4 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c3\u03b5 \u03bd\u03ad\u03b5\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2.<\/strong> \u0397 \u03b1\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03cc\u03c1\u03b9\u03c3\u03c4\u03b7 \u00ab\u03bc\u03bd\u03ae\u03bc\u03b7 AI\u00bb, \u03b1\u03bb\u03bb\u03ac \u03bc\u03b9\u03b1 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03cc\u03c0\u03bf\u03c5 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03bc\u03ad\u03bd\u03bf \u03b2\u03ae\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03b5\u03c1\u03ac\u03c3\u03b5\u03b9 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf \u03c4\u03c5\u03c0\u03b9\u03ba\u03cc \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf.<\/p>\n<p>\u03a4\u03b9 \u03b8\u03b1 \u03b3\u03b9\u03bd\u03cc\u03c4\u03b1\u03bd \u03b1\u03bd \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae\u03c2 \u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7\u03c2 \u03b4\u03b5\u03bd \u03be\u03b5\u03c7\u03bd\u03bf\u03cd\u03c3\u03b5 \u03cc,\u03c4\u03b9 \u03ad\u03bc\u03b1\u03b8\u03b5 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1; \u03a3\u03c4\u03b7\u03bd \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b8\u03b5\u03c9\u03c1\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03bc\u03b9\u03b1 \u03bb\u03cd\u03c3\u03b7 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b7 \u03c6\u03c4\u03ac\u03c3\u03b5\u03b9 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf \u03c4\u03ad\u03bb\u03bf\u03c2, \u03b1\u03bb\u03bb\u03ac \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03c3\u03c9\u03c3\u03c4\u03ac \u03bb\u03ae\u03bc\u03bc\u03b1\u03c4\u03b1, \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c3\u03c0\u03ac\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03ae\u03b4\u03b7 \u03b5\u03bb\u03b5\u03b3\u03c7\u03b8\u03b5\u03af. \u03a4\u03bf <strong>ProofEvolve<\/strong> \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03ba\u03b5 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03b9\u03b4\u03ad\u03b1: \u03bd\u03b1 \u03ba\u03c1\u03b1\u03c4\u03ac \u03c4\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af, \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b1\u03bd\u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c4\u03b7.<\/p>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c4\u03c9\u03bd Wenqian Ye \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03b1\u03c4\u03ce\u03bd \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03bf-\u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03ba\u03cc \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03b3\u03b9\u03b1 \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03c3\u03c4\u03bf Lean 4. \u03a4\u03bf \u03b3\u03bb\u03c9\u03c3\u03c3\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2, \u03b1\u03bb\u03bb\u03ac \u03bf \u03c0\u03c5\u03c1\u03ae\u03bd\u03b1\u03c2 \u03c4\u03bf\u03c5 Lean \u03b1\u03c0\u03bf\u03c6\u03b1\u03c3\u03af\u03b6\u03b5\u03b9 \u03c0\u03bf\u03b9\u03b1 \u03ba\u03af\u03bd\u03b7\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03b4\u03b5\u03ba\u03c4\u03ae. \u0391\u03bd\u03c4\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03bc\u03cc\u03bd\u03bf \u03c3\u03c4\u03b1 \u03b2\u03ac\u03c1\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5 \u03ae \u03bd\u03b1 \u03c4\u03b7 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03bc\u03cc\u03bd\u03bf \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf \u03c4\u03c1\u03ad\u03c7\u03bf\u03bd \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1, \u03c4\u03bf ProofEvolve \u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b1 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c3\u03b5 \u03c1\u03b7\u03c4\u03ad\u03c2 \u03b4\u03bf\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03b5\u03c1\u03b8\u03bf\u03cd\u03bd \u03c3\u03b5 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2.<\/p>\n<div class=\"td-article-toc\">\n<div class=\"td-toc-title\">\u0421\u044a\u0434\u044a\u0440\u0436\u0430\u043d\u0438\u0435<\/div>\n<ul>\n<li><a href=\"#dyadiko-sima\">\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf \u00ab\u03c0\u03ad\u03c4\u03c5\u03c7\u03b5 \u03ae \u03b1\u03c0\u03ad\u03c4\u03c5\u03c7\u03b5\u00bb<\/a><\/li>\n<li><a href=\"#lean-verifier\">\u039f \u03c1\u03cc\u03bb\u03bf\u03c2 \u03c4\u03bf\u03c5 Lean 4 \u03c9\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf\u03c5 \u03b5\u03bb\u03b5\u03b3\u03ba\u03c4\u03ae<\/a><\/li>\n<li><a href=\"#and-or-proof-dag\">\u039f\u03b9 AND-OR \u03b3\u03c1\u03ac\u03c6\u03bf\u03b9 \u03ba\u03c1\u03b1\u03c4\u03bf\u03cd\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03bf\u03c0\u03ac\u03c4\u03b9\u03b1<\/a><\/li>\n<li><a href=\"#verified-closure\">Verified closure: \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03c7\u03c9\u03c1\u03af\u03c2 \u03c7\u03b1\u03bb\u03ac\u03c1\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bf\u03c1\u03b8\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/a><\/li>\n<li><a href=\"#treis-telestes\">\u03a4\u03c1\u03b5\u03b9\u03c2 \u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7\u03c2<\/a><\/li>\n<li><a href=\"#benchmarks\">\u03a4\u03b9 \u03ad\u03b4\u03b5\u03b9\u03be\u03b1\u03bd \u03c4\u03b1 \u03c4\u03c1\u03af\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac benchmarks<\/a><\/li>\n<li><a href=\"#vivliothiki-apodeixeon\">\u0397 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c0\u03b1\u03bb\u03b9\u03ce\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd \u03b5\u03af\u03c7\u03b5 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7 \u03b1\u03be\u03af\u03b1<\/a><\/li>\n<li><a href=\"#test-time-budget\">\u039c\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf test-time budget \u03ba\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2<\/a><\/li>\n<li><a href=\"#monotoni-epektasi\">\u0393\u03b9\u03b1\u03c4\u03af \u03b7 \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7 \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03bf\u03b9\u03ce\u03bd\u03b5\u03b9 \u03cc,\u03c4\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af<\/a><\/li>\n<li><a href=\"#mathimata-ai-omades\">\u03a4\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ba\u03c1\u03b1\u03c4\u03ae\u03c3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 AI \u03ae \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03bf\u03c2<\/a><\/li>\n<li><a href=\"#oria\">\u038c\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ac<\/a><\/li>\n<li><a href=\"#symperasma\">\u0391\u03c0\u03cc \u03c4\u03b7 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bc\u03b9\u03bb\u03b9\u03ce\u03bd \u03c3\u03c4\u03b7 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd<\/a><\/li>\n<\/ul>\n<\/div>\n<h2 id=\"dyadiko-sima\">\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf \u00ab\u03c0\u03ad\u03c4\u03c5\u03c7\u03b5 \u03ae \u03b1\u03c0\u03ad\u03c4\u03c5\u03c7\u03b5\u00bb<\/h2>\n<p>\u03a0\u03bf\u03bb\u03bb\u03ac \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03bf\u03cd\u03bd \u03bc\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1 \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03ae\u03bc\u03b1: \u03b5\u03af\u03c4\u03b5 \u03ad\u03ba\u03bb\u03b5\u03b9\u03c3\u03b5 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf \u03c4\u03bf \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03b5\u03af\u03c4\u03b5 \u03cc\u03c7\u03b9. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b1\u03c6\u03ad\u03c2, \u03b1\u03bb\u03bb\u03ac \u03c6\u03c4\u03c9\u03c7\u03cc \u03c9\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1. \u039c\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03bb\u03cd\u03c3\u03b5\u03b9 \u03c4\u03c1\u03af\u03b1 \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03b1 \u03c5\u03c0\u03bf\u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bf\u03bb\u03bb\u03ae\u03c3\u03b5\u03b9 \u03c3\u03c4\u03bf \u03c4\u03ad\u03c4\u03b1\u03c1\u03c4\u03bf. \u0391\u03bd \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ba\u03bf\u03b9\u03c4\u03ac\u03b6\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf \u03c4\u03b5\u03bb\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1, \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1 \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u03cc\u03c0\u03c9\u03c2 \u03bc\u03b9\u03b1 \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03ac\u03c3\u03c4\u03bf\u03c7\u03b7 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7.<\/p>\n<p>\u039f\u03b9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c0\u03bf\u03c5 \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03c3\u03bf\u03c5\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03c3\u03c4\u03b1 \u03b2\u03ac\u03c1\u03b7 \u03c4\u03bf\u03c5 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5, \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c5\u03c4\u03cc \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03bd\u03ad\u03bf \u03ba\u03cd\u03ba\u03bb\u03bf \u03b5\u03bd\u03b7\u03bc\u03ad\u03c1\u03c9\u03c3\u03b7\u03c2. \u039f\u03b9 <a href=\"https:\/\/twodots.gr\/ai-agents-tool-calling-proto-lathos-alysida\/\">agentic \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2<\/a> \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03bc\u03bf\u03b9\u03c1\u03b1\u03c3\u03c4\u03bf\u03cd\u03bd \u03bb\u03ae\u03bc\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03ba\u03bb\u03ac\u03b4\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03af\u03b4\u03b9\u03b1\u03c2 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2, \u03b1\u03bb\u03bb\u03ac \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03b7 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b4\u03b5\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c4\u03c1\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1 \u03c3\u03c4\u03cc\u03c7\u03bf. \u039f\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03b8\u03b5\u03c9\u03c1\u03bf\u03cd\u03bd \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03c0\u03ce\u03bb\u03b5\u03b9\u03b1 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b7\u03c2 \u03c0\u03c1\u03bf\u03cc\u03b4\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03c5\u03c4\u03bf\u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7.<\/p>\n<p>\u0397 \u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1 \u03c0\u03ad\u03c1\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac. \u03a3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03cc\u03c0\u03bf\u03c5 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b1\u03c5\u03c3\u03c4\u03b7\u03c1\u03bf\u03af \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03b9, \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b1 \u03c5\u03c0\u03bf\u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1. \u0397 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf ProofEvolve \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03ad\u03c4\u03bf\u03b9\u03bc\u03bf \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03bf \u03b3\u03b9\u03b1 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ac workflows, \u03b1\u03bb\u03bb\u03ac \u03cc\u03c4\u03b9 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae: \u03b7 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b7 \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b1\u03be\u03af\u03b6\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03b9\u03bc\u03bf, \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b9\u03bc\u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03c5\u03c3\u03b9\u03b1\u03ba\u03cc \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf.<\/p>\n<div class=\"td-comparison-cards\">\n<article class=\"td-platform-card\">\n<h3>\u0394\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc pass\/fail<\/h3>\n<p>\u0392\u03bb\u03ad\u03c0\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b1\u03bd \u03ad\u03ba\u03bb\u03b5\u03b9\u03c3\u03b5 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf \u03c4\u03bf \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1. \u039c\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1 \u03bc\u03b5 \u03c4\u03c1\u03af\u03b1 \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b1 \u03bb\u03ae\u03bc\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1\u03bd \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03cc \u03c3\u03c4\u03cc\u03c7\u03bf \u03ba\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03c9\u03c2 \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03af\u03b1.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">\u03a4\u03b5\u03bb\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1<\/span><span class=\"td-badge\">\u03a7\u03b1\u03bc\u03ad\u03bd\u03b7 \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf\u03c2<\/span><\/div>\n<\/article>\n<article class=\"td-platform-card td-platform-card--navy\">\n<h3>Verified closure<\/h3>\n<p>\u039c\u03b5\u03c4\u03c1\u03ac \u03c0\u03cc\u03c3\u03b7 \u03b4\u03bf\u03bc\u03ae \u03ad\u03c7\u03b5\u03b9 \u03ba\u03bb\u03b5\u03af\u03c3\u03b5\u03b9 \u03bc\u03b5 kernel-accepted \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1, \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c4\u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03c9\u03c2 \u03c3\u03c9\u03c3\u03c4\u03ae.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">0 \u03ad\u03c9\u03c2 1<\/span><span class=\"td-badge\">Kernel-grounded<\/span><\/div>\n<\/article>\n<article class=\"td-platform-card\">\n<h3>\u039c\u03cc\u03bd\u03b9\u03bc\u03b7 schema library<\/h3>\n<p>\u039a\u03c1\u03b1\u03c4\u03ac \u03ba\u03bb\u03b5\u03b9\u03c3\u03c4\u03bf\u03cd\u03c2 \u03c5\u03c0\u03bf\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03c2 \u03c9\u03c2 \u03c4\u03c5\u03c0\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b1, \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b9\u03bc\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03b9 \u03be\u03b1\u03bd\u03ac \u03ba\u03ac\u03b8\u03b5 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03bf\u03c5\u03c2 \u03c3\u03b5 \u03bd\u03ad\u03bf \u03c3\u03c4\u03cc\u03c7\u03bf.<\/p>\n<div class=\"td-badge-row\"><span class=\"td-badge\">Provenance<\/span><span class=\"td-badge\">\u0395\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7<\/span><\/div>\n<\/article>\n<\/div>\n<h2 id=\"lean-verifier\">\u039f \u03c1\u03cc\u03bb\u03bf\u03c2 \u03c4\u03bf\u03c5 Lean 4 \u03c9\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf\u03c5 \u03b5\u03bb\u03b5\u03b3\u03ba\u03c4\u03ae<\/h2>\n<p>\u03a3\u03c4\u03bf ProofEvolve, \u03c4\u03bf \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03b5\u03be\u03bf\u03c5\u03c3\u03af\u03b1. \u03a0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03bf\u03c3\u03c5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03c4\u03cc\u03c7\u03bf\u03c5, \u03b4\u03b9\u03bf\u03c1\u03b8\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03c9\u03bd \u03b2\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c0\u03b1\u03bb\u03b1\u03b9\u03cc\u03c4\u03b5\u03c1\u03c9\u03bd \u03c3\u03c7\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2. \u039a\u03ac\u03b8\u03b5 \u03c0\u03c1\u03bf\u03c4\u03b5\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b2\u03b1\u03c3\u03b7 \u03c0\u03b5\u03c1\u03bd\u03ac \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd kernel \u03c4\u03bf\u03c5 Lean 4 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf, \u03c0\u03b1\u03b3\u03c9\u03bc\u03ad\u03bd\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd Mathlib. \u039c\u03b9\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03ba\u03c4\u03ae \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03ac\u03bb\u03c5\u03c4\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03ae placeholders.<\/p>\n<p>\u039f \u03c0\u03c5\u03c1\u03ae\u03bd\u03b1\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03c9\u03c2 \u03c3\u03b1\u03c6\u03ad\u03c2 \u03cc\u03c1\u03b9\u03bf \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c3\u03cd\u03bd\u03b7\u03c2. \u039c\u03b9\u03b1 \u03b1\u03c0\u03cc\u03c1\u03c1\u03b9\u03c8\u03b7 \u03b1\u03c6\u03ae\u03bd\u03b5\u03b9 \u03b1\u03bc\u03b5\u03c4\u03ac\u03b2\u03bb\u03b7\u03c4\u03b7 \u03c4\u03b7\u03bd \u03ad\u03bc\u03c0\u03b9\u03c3\u03c4\u03b7 \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03c4\u03bf\u03c5 Lean \u03b3\u03b9\u03b1 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae \u03b5\u03c0\u03b9\u03c3\u03ba\u03b5\u03c5\u03ae. \u039c\u03b9\u03b1 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c7\u03ae \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03ad\u03bd\u03b1\u03bd \u03c4\u03c5\u03c0\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03bf, \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03bf \u03b4\u03b5\u03c3\u03bc\u03cc \u03c3\u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2. \u0388\u03c4\u03c3\u03b9, \u03b7 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03ae \u03b5\u03c5\u03b5\u03bb\u03b9\u03be\u03af\u03b1 \u03c4\u03bf\u03c5 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5 \u03c7\u03c9\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c5\u03c3\u03c4\u03b7\u03c1\u03ae \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n<p>\u039f\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf \u03b5\u03c0\u03b1\u03bd\u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03ba\u03ac\u03b8\u03b5 \u03bb\u03cd\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03b1\u03be\u03b9\u03c9\u03bc\u03ac\u03c4\u03c9\u03bd. \u03a3\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc 400 \u03b5\u03c0\u03b1\u03bd\u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03c2 \u03b4\u03b5\u03bd \u03b5\u03bd\u03c4\u03cc\u03c0\u03b9\u03c3\u03b1\u03bd \u03c8\u03b5\u03c5\u03b4\u03ce\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03bb\u03cd\u03c3\u03b7. \u0391\u03c5\u03c4\u03cc \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae \u03c5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bb\u03ac\u03bd\u03b8\u03b1\u03c3\u03c4\u03b7, \u03b1\u03bb\u03bb\u03ac \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bb\u03ce\u03b8\u03b7\u03ba\u03b1\u03bd \u03c9\u03c2 \u03bb\u03c5\u03bc\u03ad\u03bd\u03b1 \u03c0\u03ad\u03c1\u03b1\u03c3\u03b1\u03bd \u03c4\u03bf\u03bd \u03ba\u03b1\u03b8\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf.<\/p>\n<div class=\"td-decision-band\">\n<p class=\"td-decision-kicker\">\u039a\u03c1\u03af\u03c3\u03b9\u03bc\u03b7 \u03b1\u03c1\u03c7\u03ae<\/p>\n<p class=\"td-decision-title\"><strong>\u03a4\u03bf \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9\u00b7 \u03bf \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf\u03c2 verifier \u03b1\u03c0\u03bf\u03c6\u03b1\u03c3\u03af\u03b6\u03b5\u03b9 \u03c4\u03b9 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03b9\u03bc\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7<\/strong><\/p>\n<p>\u03a3\u03c4\u03bf ProofEvolve \u03bf Lean 4 kernel \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c3\u03cd\u03bd\u03b7\u03c2. \u0393\u03b9\u03b1 \u03ad\u03bd\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc AI workflow, \u03b7 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b7 \u03b1\u03c3\u03c6\u03ac\u03bb\u03b5\u03b9\u03b1 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af deterministic validation, authoritative \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1, provenance \u03ba\u03b1\u03b9 \u03c3\u03b1\u03c6\u03ae \u03b1\u03c0\u03cc\u03c1\u03c1\u03b9\u03c8\u03b7 \u03cc\u03c4\u03b1\u03bd \u03bf\u03b9 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b4\u03b5\u03bd \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9.<\/p>\n<\/div>\n<h2 id=\"and-or-proof-dag\">\u039f\u03b9 AND-OR \u03b3\u03c1\u03ac\u03c6\u03bf\u03b9 \u03ba\u03c1\u03b1\u03c4\u03bf\u03cd\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03bc\u03bf\u03bd\u03bf\u03c0\u03ac\u03c4\u03b9\u03b1<\/h2>\n<p>\u0397 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03af\u03c3\u03c4\u03b1\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2, \u03ac\u03ba\u03c5\u03ba\u03bb\u03bf\u03c2 AND-OR \u03b3\u03c1\u03ac\u03c6\u03bf\u03c2. \u0388\u03bd\u03b1\u03c2 OR \u03ba\u03cc\u03bc\u03b2\u03bf\u03c2 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b9\u03bd\u03ae\u03c3\u03b5\u03b9\u03c2: \u03b1\u03c1\u03ba\u03b5\u03af \u03bc\u03af\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03c3\u03b5 \u03bb\u03cd\u03c3\u03b7. \u0388\u03bd\u03b1\u03c2 AND \u03b4\u03b5\u03c3\u03bc\u03cc\u03c2 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bb\u03c5\u03b8\u03bf\u03cd\u03bd \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b5\u03c0\u03b9\u03bc\u03ad\u03c1\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03cd\u03c1\u03b3\u03b7\u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c3\u03b7. \u0391\u03c5\u03c4\u03ae \u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c3\u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ad\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c3\u03c5\u03bc\u03c0\u03b9\u03ad\u03b6\u03b5\u03b9 \u03cc\u03bb\u03b7 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc \u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf.<\/p>\n<p>\u039a\u03bb\u03b5\u03b9\u03b4\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03ba\u03bb\u03b5\u03b9\u03c3\u03c4\u03cc\u03c2 \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03cc\u03c2 \u03c5\u03c0\u03bf\u03b3\u03c1\u03ac\u03c6\u03bf\u03c2 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03ad\u03b3\u03ba\u03c5\u03c1\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b9 \u03b1\u03bd \u03b7 \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b8\u03b5\u03c9\u03c1\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ae. \u039f \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03c4\u03bf\u03c5\u03c2 \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b4\u03b5\u03c3\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03cc\u03c1\u03bf \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03ba\u03cc\u03bc\u03b2\u03bf. \u0386\u03c1\u03b1, \u03b7 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b1\u03c6\u03ae \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03ba\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03b5\u03be\u03b1\u03c1\u03c4\u03ac\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b1\u03c3\u03b1\u03c6\u03ae \u03c0\u03b5\u03c1\u03af\u03bb\u03b7\u03c8\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03b3\u03c1\u03b1\u03c8\u03b5 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf.<\/p>\n<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03b7 \u03b3\u03b5\u03bc\u03af\u03c3\u03b5\u03b9 \u03c4\u03bf \u03b1\u03c1\u03c7\u03b5\u03af\u03bf \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 \u03c0\u03b1\u03c1\u03b1\u03bb\u03bb\u03b1\u03b3\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03af\u03b4\u03b9\u03b1\u03c2 \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ae\u03c2, \u03c4\u03bf ProofEvolve \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b4\u03b5\u03af\u03ba\u03c4\u03b5\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf \u03b2\u03ac\u03b8\u03bf\u03c2, \u03c4\u03b7\u03bd \u03ba\u03c5\u03c1\u03af\u03b1\u03c1\u03c7\u03b7 \u03bf\u03b9\u03ba\u03bf\u03b3\u03ad\u03bd\u03b5\u03b9\u03b1 tactics \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 schema index. \u03a3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u00ab\u03ba\u03b5\u03bb\u03af\u00bb \u03ba\u03c1\u03b1\u03c4\u03ac \u03c4\u03bf\u03bd \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03c5\u03c0\u03bf\u03c8\u03ae\u03c6\u03b9\u03bf, \u03b5\u03bd\u03ce \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03cc\u03c3\u03b7 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b7 \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf \u03ad\u03c7\u03b5\u03b9 \u03ae\u03b4\u03b7 \u03b5\u03c0\u03b9\u03c4\u03b5\u03c5\u03c7\u03b8\u03b5\u03af.<\/p>\n<h2 id=\"verified-closure\">Verified closure: \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03c7\u03c9\u03c1\u03af\u03c2 \u03c7\u03b1\u03bb\u03ac\u03c1\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bf\u03c1\u03b8\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/h2>\n<p>\u0397 verified closure, \u03bc\u03b5 \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf \u03c1, \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c5 \u03c3\u03b5 \u03b2\u03b1\u03b8\u03bc\u03b9\u03b1\u03af\u03bf \u03c3\u03ae\u03bc\u03b1 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae\u03c2. \u0388\u03bd\u03b1\u03c2 \u03ba\u03bb\u03b5\u03b9\u03c3\u03c4\u03cc\u03c2 \u03ba\u03cc\u03bc\u03b2\u03bf\u03c2 \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ae 1 \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03cc \u03c6\u03cd\u03bb\u03bb\u03bf \u03c4\u03b9\u03bc\u03ae 0. \u03a3\u03c4\u03bf\u03c5\u03c2 OR \u03ba\u03cc\u03bc\u03b2\u03bf\u03c5\u03c2 \u03ba\u03c1\u03b1\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae, \u03b5\u03bd\u03ce \u03c3\u03c4\u03bf\u03c5\u03c2 AND \u03b4\u03b5\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03bc\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03b9\u03b4\u03b9\u03ce\u03bd. \u03a3\u03c4\u03b1 \u03c0\u03b5\u03b9\u03c1\u03ac\u03bc\u03b1\u03c4\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bf\u03bc\u03bf\u03b9\u03cc\u03bc\u03bf\u03c1\u03c6\u03b1 \u03b2\u03ac\u03c1\u03b7.<\/p>\n<p>\u0397 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03b4\u03b5\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ac \u03c4\u03bf\u03bd \u03c4\u03b5\u03bb\u03b9\u03ba\u03cc \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03bf\u03cd\u03c4\u03b5 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03b9\u03c3\u03bf\u03c4\u03b5\u03bb\u03b5\u03b9\u03c9\u03bc\u03ad\u03bd\u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u00ab\u03ba\u03b1\u03c4\u03ac \u03c4\u03bf \u03ae\u03bc\u03b9\u03c3\u03c5 \u03c3\u03c9\u03c3\u03c4\u03ae\u00bb. \u039c\u03b5\u03c4\u03c1\u03ac \u03c0\u03cc\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b7 \u03b4\u03bf\u03bc\u03ae \u03ad\u03c7\u03b5\u03b9 \u03ae\u03b4\u03b7 \u03ba\u03bb\u03b5\u03af\u03c3\u03b5\u03b9 \u03bc\u03b5 kernel-accepted \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1. \u039f\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03b7 \u03c4\u03b9\u03bc\u03ae 1 \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b5\u03af \u03bc\u03b5 \u03ba\u03bb\u03b5\u03b9\u03c3\u03c4\u03ae \u03c1\u03af\u03b6\u03b1 \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03b2\u03b1\u03b8\u03bc\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03b4\u03b5\u03bd \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b1\u03bd \u03bf \u03b3\u03c1\u03ac\u03c6\u03bf\u03c2 \u03b5\u03c0\u03b5\u03ba\u03c4\u03b5\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03bf\u03b9\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03b1\u03bb\u03b1\u03b9\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1.<\/p>\n<p>\u0397 \u03af\u03b4\u03b9\u03b1 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c4\u03b5\u03c1\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ce\u03bd \u03bc\u03b5\u03c4\u03ce\u03c0\u03c9\u03bd. \u03a4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03ba\u03c4\u03b9\u03bc\u03ac \u03c0\u03bf\u03b9\u03bf \u03c5\u03c0\u03bf\u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b8\u03b1 \u03b1\u03cd\u03be\u03b1\u03bd\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03c4\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae closure \u03b1\u03bd \u03bb\u03c5\u03bd\u03cc\u03c4\u03b1\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03c1\u03bf\u03c9\u03b8\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7. \u03a3\u03c4\u03b9\u03c2 \u03ba\u03b1\u03c4\u03b1\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03c1\u03bf\u03c7\u03b9\u03ad\u03c2, \u03bf\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b1\u03bd\u03b5\u03b2\u03b1\u03af\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03b1\u03b4\u03b9\u03b1\u03ba\u03ac \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf 1, \u03b5\u03bd\u03ce \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b1. \u03a4\u03bf \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03ae\u03bc\u03b1, \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1, \u03bc\u03ad\u03bd\u03b5\u03b9 \u03c3\u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf \u03b2\u03ae\u03bc\u03b1.<\/p>\n<h2 id=\"treis-telestes\">\u03a4\u03c1\u03b5\u03b9\u03c2 \u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7\u03c2: \u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c3\u03b7, \u03b5\u03c0\u03b9\u03c3\u03ba\u03b5\u03c5\u03ae, \u03b1\u03bd\u03b1\u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc\u03c2<\/h2>\n<p>\u0397 <strong>\u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c3\u03b7<\/strong> \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf \u03c3\u03c4\u03cc\u03c7\u03bf \u03c3\u03b5 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2, \u03c1\u03b7\u03c4\u03ad\u03c2 \u03c5\u03c0\u03bf\u03c7\u03c1\u03b5\u03ce\u03c3\u03b5\u03b9\u03c2. \u0397 <strong>\u03b5\u03c0\u03b9\u03c3\u03ba\u03b5\u03c5\u03ae<\/strong> \u03b4\u03af\u03bd\u03b5\u03b9 \u03c3\u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af\u03c3\u03b1 \u03c0\u03c1\u03cc\u03c4\u03b1\u03c3\u03b7 \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03bd\u03c5\u03bc\u03b1 \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c4\u03bf\u03c5 Lean, \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03ae\u03c3\u03b5\u03b9 \u03b4\u03b9\u03bf\u03c1\u03b8\u03c9\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b2\u03b1\u03c3\u03b7. \u039f <strong>\u03b1\u03bd\u03b1\u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc\u03c2<\/strong> \u03b1\u03bd\u03b1\u03b6\u03b7\u03c4\u03ac \u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03c5\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03bf schema \u03c0\u03bf\u03c5 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c4\u03c1\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1 \u03c3\u03c4\u03cc\u03c7\u03bf.<\/p>\n<p>\u03a4\u03bf schema \u03b4\u03b5\u03bd \u03b1\u03bd\u03c4\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9 \u03c4\u03c5\u03c6\u03bb\u03ac. \u039f\u03b9 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b3\u03b5\u03bd\u03b9\u03ba\u03b5\u03cd\u03bf\u03bd\u03c4\u03b1\u03b9, \u03bf\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5\u03bd\u03b5\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c1\u03b7\u03c4\u03ad\u03c2 \u03c0\u03c1\u03bf\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03be\u03b5\u03b9 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bd\u03ad\u03bf \u03c3\u03c4\u03cc\u03c7\u03bf. \u038c\u03c0\u03bf\u03b9\u03b5\u03c2 \u03c0\u03c1\u03bf\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03bf\u03cd\u03bd \u03ac\u03bc\u03b5\u03c3\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03bd\u03ad\u03b1 \u03c5\u03c0\u03bf\u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1. \u039f\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03b7 \u03b7 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03c4\u03b1\u03b9 \u03be\u03b1\u03bd\u03ac \u03b1\u03c0\u03cc \u03c4\u03bf Lean \u03c0\u03c1\u03b9\u03bd \u03b3\u03af\u03bd\u03b5\u03b9 \u03b4\u03b5\u03ba\u03c4\u03ae.<\/p>\n<p>\u0397 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03b1\u03c6\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2 \u03c3\u03b5 60 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c4\u03bf\u03c5 IMO-LeanProofBench \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b5\u03c2 \u03c3\u03c5\u03bd\u03b5\u03b9\u03c3\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd. \u03a4\u03bf \u03c0\u03bb\u03ae\u03c1\u03b5\u03c2 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ad\u03bb\u03c5\u03c3\u03b5 \u03ba\u03b1\u03c4\u03ac \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf 32 \u03b1\u03c0\u03cc \u03c4\u03b1 60. \u03a7\u03c9\u03c1\u03af\u03c2 \u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c3\u03b7 \u03ad\u03bb\u03c5\u03c3\u03b5 11, \u03c7\u03c9\u03c1\u03af\u03c2 \u03b1\u03bd\u03b1\u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc 14 \u03ba\u03b1\u03b9 \u03c7\u03c9\u03c1\u03af\u03c2 \u03b5\u03c0\u03b9\u03c3\u03ba\u03b5\u03c5\u03ae 9. \u0397 \u03c0\u03c4\u03ce\u03c3\u03b7 \u03ae\u03c4\u03b1\u03bd \u03b5\u03bd\u03c4\u03bf\u03bd\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c4\u03bf Advanced split, \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf \u03c0\u03bb\u03ae\u03c1\u03b5\u03c2 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ad\u03bb\u03c5\u03c3\u03b5 10 \u03b1\u03c0\u03cc \u03c4\u03b1 30 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1, \u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c3\u03b7, 3 \u03c7\u03c9\u03c1\u03af\u03c2 \u03b1\u03bd\u03b1\u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc \u03ba\u03b1\u03b9 2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03b5\u03c0\u03b9\u03c3\u03ba\u03b5\u03c5\u03ae.<\/p>\n<h2 id=\"benchmarks\">\u03a4\u03b9 \u03ad\u03b4\u03b5\u03b9\u03be\u03b1\u03bd \u03c4\u03b1 \u03c4\u03c1\u03af\u03b1 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac benchmarks<\/h2>\n<p>\u0397 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03c3\u03c4\u03b1 PutnamBench, IMO-LeanProofBench \u03ba\u03b1\u03b9 CombiBench, \u03bc\u03b5 Claude Opus 4.8 \u03c9\u03c2 \u03ba\u03bf\u03b9\u03bd\u03cc \u03b2\u03b1\u03c3\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b1 agentic \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf budget. \u039f \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03c1\u03b5\u03b9\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b5\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2. \u03a4\u03bf ProofEvolve \u03c0\u03ad\u03c4\u03c5\u03c7\u03b5 \u03bc\u03ad\u03c3\u03bf solve rate 57,8%, \u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 50,5% \u03b3\u03b9\u03b1 \u03c4\u03bf LEAP \u03ba\u03b1\u03b9 45,9% \u03b3\u03b9\u03b1 \u03c4\u03bf Hilbert.<\/p>\n<p>\u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ac, \u03c4\u03bf ProofEvolve \u03ad\u03c6\u03c4\u03b1\u03c3\u03b5 71,2% \u03c3\u03c4\u03bf PutnamBench \u03ba\u03b1\u03b9 53,3% \u03c3\u03c4\u03bf IMO-LeanProofBench. \u03a4\u03bf LEAP \u03ba\u03b1\u03c4\u03ad\u03b3\u03c1\u03b1\u03c8\u03b5 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1 64,7% \u03ba\u03b1\u03b9 36,7%. \u03a3\u03c4\u03bf CombiBench, \u03cc\u03bc\u03c9\u03c2, \u03c4\u03bf ProofEvolve \u03ad\u03c6\u03c4\u03b1\u03c3\u03b5 49,0%, \u03bc\u03af\u03b1 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf 50,0% \u03c4\u03bf\u03c5 LEAP. \u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03bc\u03bf\u03b9\u03cc\u03bc\u03bf\u03c1\u03c6\u03b7 \u03c5\u03c0\u03b5\u03c1\u03bf\u03c7\u03ae \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf, \u03b1\u03bb\u03bb\u03ac \u03bf \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03bf\u03c2 \u03bc\u03ad\u03c3\u03bf\u03c2 \u03cc\u03c1\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03bf benchmark \u03bc\u03b5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03c7\u03bd\u03ac \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bd \u03c3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd \u03bb\u03b7\u03bc\u03bc\u03ac\u03c4\u03c9\u03bd.<\/p>\n<p>\u03a4\u03b1 \u03b1\u03c0\u03bb\u03ac inference-only \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03ae\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03cd \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c3\u03c4\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c0\u03c1\u03c9\u03c4\u03cc\u03ba\u03bf\u03bb\u03bb\u03bf. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c4\u03bf Claude Opus 4.8 \u03bc\u03b5 pass@16 \u03c7\u03c9\u03c1\u03af\u03c2 agentic search \u03b5\u03af\u03c7\u03b5 0% \u03c3\u03c4\u03b1 Putnam \u03ba\u03b1\u03b9 IMO-Lean \u03ba\u03b1\u03b9 10% \u03c3\u03c4\u03bf Combi. \u0397 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03c5\u03c0\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03af\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bf \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03c9\u03bd \u03b2\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03be\u03af\u03c3\u03bf\u03c5 \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c4\u03bf\u03c5 \u03b2\u03b1\u03c3\u03b9\u03ba\u03bf\u03cd \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5.<\/p>\n<div class=\"td-chart td-chart--metrics\" role=\"img\" aria-label=\"\u039a\u03cd\u03c1\u03b9\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 ProofEvolve: 57,8% \u03bc\u03ad\u03c3\u03bf solve rate, 50,5% \u03b3\u03b9\u03b1 LEAP, 45,9% \u03b3\u03b9\u03b1 Hilbert \u03ba\u03b1\u03b9 53,4% \u03bc\u03b5 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc retrieval \u03c3\u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 Lean Workbook\">\n<div class=\"td-chart-head\">\n<p class=\"td-chart-title\">\u03a4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03b9\u03c9\u03bc\u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2<\/p>\n<p class=\"td-chart-subtitle\">\u039f\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b1\u03c6\u03bf\u03c1\u03bf\u03cd\u03bd \u03c4\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 benchmarks, \u03c4\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1, \u03c4\u03b1 budgets \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1.<\/p>\n<\/div>\n<div class=\"td-chart-body\">\n<div class=\"td-metric-grid td-metric-grid--four-columns\">\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">57,8%<\/span><span class=\"td-metric-label\">ProofEvolve<\/span><span class=\"td-metric-note\">\u039c\u03ad\u03c3\u03bf solve rate \u03c3\u03b5 PutnamBench, IMO-LeanProofBench \u03ba\u03b1\u03b9 CombiBench<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">50,5%<\/span><span class=\"td-metric-label\">LEAP<\/span><span class=\"td-metric-note\">\u0399\u03c3\u03c7\u03c5\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf\u03c2 agentic baseline \u03c3\u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">45,9%<\/span><span class=\"td-metric-label\">Hilbert<\/span><span class=\"td-metric-note\">\u0395\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf\u03c2 agentic baseline \u03bc\u03b5 \u03ba\u03bf\u03b9\u03bd\u03cc \u03b2\u03b1\u03c3\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf<\/span><\/div>\n<div class=\"td-metric-card\"><span class=\"td-metric-value\">53,4%<\/span><span class=\"td-metric-label\">Relevant retrieval<\/span><span class=\"td-metric-note\">\u0391\u03c0\u03cc 49,5% zero-shot \u03c3\u03c4\u03bf screened Lean Workbook set, \u03bc\u03b5 K=8<\/span><\/div>\n<\/div>\n<\/div>\n<\/div>\n<h2 id=\"vivliothiki-apodeixeon\">\u0397 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c0\u03b1\u03bb\u03b9\u03ce\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd \u03b5\u03af\u03c7\u03b5 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7 \u03b1\u03be\u03af\u03b1<\/h2>\n<p>\u03a3\u03b5 \u03b5\u03bb\u03b5\u03b3\u03c7\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03c3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03b9\u03ba\u03bf\u03b3\u03ad\u03bd\u03b5\u03b9\u03b5\u03c2 \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03cc\u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03b3\u03b5\u03bd\u03ad\u03c3\u03c4\u03b5\u03c1\u03bf\u03b9 \u03c3\u03c4\u03cc\u03c7\u03bf\u03b9 \u03c7\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03b5 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b1 \u03bb\u03ae\u03bc\u03bc\u03b1\u03c4\u03b1, \u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd\u03b5 \u03b1\u03c0\u03cc \u03c3\u03c4\u03cc\u03c7\u03bf \u03c3\u03b5 \u03c3\u03c4\u03cc\u03c7\u03bf \u03bf\u03b4\u03ae\u03b3\u03b7\u03c3\u03b5 \u03c3\u03b5 solve rate 19,8%. \u038c\u03c4\u03b1\u03bd \u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03b6\u03cc\u03c4\u03b1\u03bd \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03ba\u03ac\u03b8\u03b5 \u03c3\u03c4\u03cc\u03c7\u03bf, \u03c4\u03bf \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc \u03ae\u03c4\u03b1\u03bd 7,3%. \u039f\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03bd \u03c9\u03c2 2,7 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03bb\u03c5\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c3\u03c4\u03cc\u03c7\u03bf\u03c5\u03c2, \u03bc\u03b5 \u03c4\u03b1 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ac.<\/p>\n<p>\u0397 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5 Lean Workbook. \u039c\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03b5\u03c0\u03b1\u03bd\u03b5\u03c0\u03b1\u03bb\u03ae\u03b8\u03b5\u03c5\u03c3\u03b7 \u03c0\u03b1\u03c1\u03ad\u03bc\u03b5\u03b9\u03bd\u03b1\u03bd 20.554 \u03b6\u03b5\u03cd\u03b3\u03b7 \u03b4\u03ae\u03bb\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2 \u03ba\u03b1\u03b9, \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03b4\u03b9\u03c0\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7, 10.968 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b8\u03b5\u03c9\u03c1\u03ae\u03bc\u03b1\u03c4\u03b1. \u0391\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac, 1.000 \u03ba\u03c1\u03b1\u03c4\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03b3\u03b9\u03b1 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03ba\u03b1\u03b9 9.968 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03c9\u03c2 \u03c1\u03bf\u03ae \u03c0\u03b7\u03b3\u03ae\u03c2. \u03a4\u03bf Qwen3.5-397B-A17B-FP8 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 5.546 kernel-accepted \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7.<\/p>\n<p>\u039c\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae\u03c2 \u03b5\u03c0\u03b9\u03ba\u03ac\u03bb\u03c5\u03c8\u03b7\u03c2 \u03b1\u03c0\u03cc \u03c0\u03ad\u03bd\u03c4\u03b5 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf\u03c5\u03c2 language-model judges, \u03ad\u03bc\u03b5\u03b9\u03bd\u03b1\u03bd 744 \u03b8\u03b5\u03c9\u03c1\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7\u03c2. \u039c\u03b5 retrieval \u03b2\u03ac\u03b8\u03bf\u03c5\u03c2 K=8, \u03c4\u03bf solve rate \u03b1\u03c5\u03be\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc 49,5% \u03c3\u03b5 53,4%, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03ba\u03b1\u03c4\u03ac 3,9 \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03b9\u03b1\u03af\u03b5\u03c2 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2. \u03a4\u03c5\u03c7\u03b1\u03af\u03bf retrieval \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03ad\u03b4\u03c9\u03c3\u03b5 49,6%. \u0391\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 1.000 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b5 3,3 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2, \u03b5\u03bd\u03ce \u03c3\u03c4\u03bf K=64 \u03b7 \u03b1\u03cd\u03be\u03b7\u03c3\u03b7 \u03ad\u03c6\u03c4\u03b1\u03c3\u03b5 5,3 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2.<\/p>\n<p>\u03a3\u03b5 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5 K=8, \u03c4\u03bf \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc retrieval \u03ad\u03ba\u03bb\u03b5\u03b9\u03c3\u03b5 351 \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03bc\u03b5\u03bd\u03b1\u03bd \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ad\u03c2 \u03c3\u03c4\u03bf zero-shot. \u03a3\u03c4\u03b9\u03c2 322 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ad\u03c2, \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc 91,7%, \u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03ba\u03c4\u03ae \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03b4\u03b5\u03bd \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03b1\u03c4\u03ac \u03bb\u03ad\u03be\u03b7 \u03ba\u03b1\u03bc\u03af\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b5\u03bc\u03c6\u03b1\u03bd\u03b9\u03b6\u03cc\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2. \u039f\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03c4\u03bf \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03bf\u03c5\u03bd \u03c9\u03c2 \u03ad\u03bd\u03b4\u03b5\u03b9\u03be\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03b4\u03bf\u03bc\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03b1\u03c0\u03bb\u03ae\u03c2 \u03b1\u03bd\u03ac\u03ba\u03bb\u03b7\u03c3\u03b7\u03c2 \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd. \u03a3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b5\u03c5\u03ba\u03c1\u03af\u03bd\u03b9\u03c3\u03b7: \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c0\u03b5\u03af\u03c1\u03b1\u03bc\u03b1 \u03b1\u03c0\u03bf\u03bc\u03bf\u03bd\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03b5\u03b9\u03c3\u03c6\u03bf\u03c1\u03ac \u03c4\u03b7\u03c2 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03b5\u03bd\u03b5\u03c1\u03b3\u03bf\u03c0\u03bf\u03b9\u03b5\u03af repair, decomposition, DAG archive \u03ba\u03b1\u03b9 \u03c4\u03b7 closure \u03c9\u03c2 \u03c3\u03ae\u03bc\u03b1 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae\u03c2.<\/p>\n<h2 id=\"test-time-budget\">\u039c\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf test-time budget \u03b4\u03b5\u03bd \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf<\/h2>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b4\u03bf\u03ba\u03af\u03bc\u03b1\u03c3\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 open-weight \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03bc\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac budgets \u03b1\u03bd\u03ac \u03c3\u03c4\u03cc\u03c7\u03bf. \u03a4\u03bf \u03cc\u03c1\u03b9\u03bf \u03c0\u03b5\u03c1\u03b9\u03bb\u03ac\u03bc\u03b2\u03b1\u03bd\u03b5 \u03ba\u03bb\u03ae\u03c3\u03b5\u03b9\u03c2 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5, \u03ba\u03bb\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 Lean kernel, tokens \u03ba\u03b1\u03b9 \u03c7\u03c1\u03cc\u03bd\u03bf. \u0395\u03c0\u03c4\u03ac \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03bf\u03ba\u03c4\u03ce \u03c1\u03c5\u03b8\u03bc\u03af\u03c3\u03b5\u03b9\u03c2 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b1\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03ac\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b8\u03ce\u03c2 \u03c4\u03bf budget \u03b1\u03c5\u03be\u03b1\u03bd\u03cc\u03c4\u03b1\u03bd. \u0397 \u03b5\u03be\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03ae\u03c4\u03b1\u03bd \u03c4\u03bf gpt-oss-120b \u03bc\u03b5 low reasoning effort, \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ad\u03bc\u03b5\u03b9\u03bd\u03b5 \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf.<\/p>\n<p>\u0391\u03c0\u03cc 0,25\u00d7 \u03ad\u03c9\u03c2 2\u00d7 budget, \u03c4\u03b1 solve events \u03b1\u03c5\u03be\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03b1\u03c0\u03cc 28 \u03c3\u03b5 44 \u03ba\u03b1\u03b9 \u03b7 \u03ad\u03bd\u03c9\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03bb\u03c5\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03cc\u03c7\u03c9\u03bd \u03b1\u03c0\u03cc 2 \u03c3\u03b5 10. \u039f\u03b9 \u03af\u03b4\u03b9\u03bf\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03c0\u03c1\u03bf\u03b5\u03b9\u03b4\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03cc\u03c4\u03b9 \u03c4\u03b1 arms \u03ae\u03c4\u03b1\u03bd \u03be\u03b5\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ad\u03c2 \u03c3\u03c4\u03bf\u03c7\u03b1\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03bc\u03bf\u03bd\u03bf\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03ba\u03bb\u03b9\u03bc\u03ac\u03ba\u03c9\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03bf\u03cd\u03c4\u03b5 \u03b1\u03c0\u03bf\u03bc\u03bf\u03bd\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03cc\u03bd\u03bf \u03c0\u03cc\u03c1\u03bf\u03c5.<\/p>\n<p>\u03a4\u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc. \u0393\u03b9\u03b1 open-weight hosting \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03ba\u03cc\u03bc\u03b2\u03bf\u03b9 \u03bc\u03b5 \u03bf\u03ba\u03c4\u03ce NVIDIA B200 \u03c4\u03c9\u03bd 192 GB \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ad\u03c6\u03c4\u03b1\u03c3\u03b1\u03bd \u03ad\u03c9\u03c2 28 \u03ba\u03cc\u03bc\u03b2\u03bf\u03c5\u03c2 \u03ae 224 GPUs \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1. \u0391\u03c5\u03c4\u03cc \u03b8\u03ad\u03c4\u03b5\u03b9 \u03c3\u03b1\u03c6\u03ad\u03c2 \u03cc\u03c1\u03b9\u03bf \u03c3\u03c4\u03b7 \u03b3\u03b5\u03bd\u03af\u03ba\u03b5\u03c5\u03c3\u03b7: \u03c4\u03bf \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b5\u03af \u03bc\u03b5 \u03bf\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ac \u03b2\u03b9\u03ce\u03c3\u03b9\u03bc\u03b7 \u03b5\u03b3\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03bf\u03c1\u03b3\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc.<\/p>\n<h2 id=\"monotoni-epektasi\">\u0393\u03b9\u03b1\u03c4\u03af \u03b7 \u00ab\u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7\u00bb \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03bf\u03b9\u03ce\u03bd\u03b5\u03b9 \u03cc,\u03c4\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03ae\u03b4\u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af<\/h2>\n<p>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03b5\u03be\u03b5\u03bb\u03b9\u03ba\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03bf \u03c6\u03cc\u03b2\u03bf\u03c2 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03bd\u03ad\u03b1 \u03c0\u03b1\u03c1\u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03b8\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03c1\u03ad\u03c8\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03c5\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c3\u03c9\u03c3\u03c4\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1. \u0397 \u03c3\u03c7\u03b5\u03b4\u03af\u03b1\u03c3\u03b7 \u03c4\u03bf\u03c5 ProofEvolve \u03b1\u03c0\u03bf\u03c6\u03b5\u03cd\u03b3\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03b1\u03b3\u03af\u03b4\u03b1 \u03bc\u03b5 \u03bc\u03bf\u03bd\u03cc\u03c4\u03bf\u03bd\u03b5\u03c2 \u03b5\u03c0\u03b5\u03ba\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2. \u0388\u03bd\u03b1\u03c2 \u03bd\u03ad\u03bf\u03c2 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03b5\u03b9 \u03ba\u03cc\u03bc\u03b2\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03b4\u03b5\u03c3\u03bc\u03bf\u03cd\u03c2, \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b9\u03c2 \u03b5\u03c4\u03b9\u03ba\u03ad\u03c4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 realizers \u03c4\u03c9\u03bd \u03c5\u03c0\u03b1\u03c1\u03c7\u03cc\u03bd\u03c4\u03c9\u03bd \u03b2\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd. \u0395\u03c6\u03cc\u03c3\u03bf\u03bd \u03ba\u03ac\u03b8\u03b5 \u03bd\u03ad\u03bf\u03c2 \u03b4\u03b5\u03c3\u03bc\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03bb\u03b5\u03b3\u03c7\u03b8\u03b5\u03af, \u03b7 \u03c0\u03b1\u03bb\u03b1\u03b9\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03b7.<\/p>\n<p>\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b4\u03b9\u03b1\u03c4\u03c5\u03c0\u03ce\u03bd\u03b5\u03b9 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 invariants: \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03c5\u03bc\u03ad\u03bd\u03bf\u03c2 \u03b4\u03b5\u03c3\u03bc\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 kernel-checked realizer, \u03ba\u03ac\u03b8\u03b5 \u03ba\u03bb\u03b5\u03b9\u03c3\u03c4\u03cc\u03c2 \u03ba\u03cc\u03bc\u03b2\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03bc\u03bf\u03bb\u03bf\u03b3\u03b7\u03b8\u03b5\u03af \u03c3\u03b5 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03ba\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 schema \u03c4\u03b7\u03c2 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7\u03c2 \u03c3\u03c5\u03bd\u03bf\u03b4\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03b3\u03ba\u03c5\u03c1\u03bf \u03cc\u03c1\u03bf \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2. \u0391\u03bd \u03bc\u03b9\u03b1 \u03c0\u03c1\u03cc\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c1\u03c1\u03b9\u03c6\u03b8\u03b5\u03af, \u03b5\u03bd\u03b7\u03bc\u03b5\u03c1\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf error store. \u0391\u03bd \u03b3\u03af\u03bd\u03b5\u03b9 \u03b4\u03b5\u03ba\u03c4\u03ae, \u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bc\u03cc\u03bd\u03bf \u03bd\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03c3\u03b5\u03b9 \u03bc\u03b5 \u03bd\u03ad\u03b1 \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b1 schemas.<\/p>\n<p>\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03be\u03b1\u03bd\u03b1\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b1 \u03c0\u03b1\u03bb\u03b9\u03ad\u03c2 \u03c3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2. \u0397 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03b5\u03b4\u03ce \u03ad\u03c7\u03b5\u03b9 provenance, \u03c4\u03cd\u03c0\u03bf \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03be\u03b9\u03bc\u03b7 \u03b1\u03bb\u03c5\u03c3\u03af\u03b4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae\u03c2. \u0397 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bc\u03c0\u03bd\u03b5\u03cd\u03c3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b5\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c5\u03c8\u03b7\u03bb\u03ae\u03c2 \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1\u03c2, \u03b1\u03bb\u03bb\u03ac \u03bc\u03cc\u03bd\u03bf \u03b5\u03c6\u03cc\u03c3\u03bf\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03af\u03c9\u03c3\u03b7\u03c2 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03b5\u03af\u03b4\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n<p>\u03a0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03b1, \u03b7 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf archive \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ba\u03af\u03bd\u03b4\u03c5\u03bd\u03bf \u03bd\u03b1 \u03ba\u03c5\u03c1\u03b9\u03b1\u03c1\u03c7\u03ae\u03c3\u03b5\u03b9 \u03bd\u03c9\u03c1\u03af\u03c2 \u03ad\u03bd\u03b1 \u03bc\u03cc\u03bd\u03bf \u03bc\u03bf\u03bd\u03bf\u03c0\u03ac\u03c4\u03b9 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2. \u03a4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03b2\u03c1\u03b1\u03b2\u03b5\u03cd\u03b5\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03c4\u03b7\u03bd \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03c9\u03bd \u03b2\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd\u00b7 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03b9 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2, \u03ae\u03b4\u03b7 \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03c8\u03b7\u03c6\u03af\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03b6\u03b5\u03b9 \u03b1\u03c0\u03cc \u03b5\u03ba\u03b5\u03af\u03bd\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03c5\u03bd \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf.<\/p>\n<h2 id=\"mathimata-ai-omades\">\u03a4\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ba\u03c1\u03b1\u03c4\u03ae\u03c3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 AI \u03ae \u03c0\u03c1\u03bf\u03ca\u03cc\u03bd\u03c4\u03bf\u03c2<\/h2>\n<p>\u0397 \u03c0\u03c1\u03ce\u03c4\u03b7 \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2 proposer \u03ba\u03b1\u03b9 <a href=\"https:\/\/twodots.gr\/structured-evidence-routing-ai-stoixeia-provlepsi-kindynou\/\">verifier<\/a>. \u03a4\u03bf \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03ac \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1, \u03b1\u03bb\u03bb\u03ac \u03bc\u03b9\u03b1 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b7, \u03bd\u03c4\u03b5\u03c4\u03b5\u03c1\u03bc\u03b9\u03bd\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03ba\u03c5\u03c1\u03ce\u03bd\u03b5\u03b9 \u03cc,\u03c4\u03b9 \u03c0\u03b5\u03c1\u03bd\u03ac \u03c3\u03c4\u03b7 \u03bc\u03cc\u03bd\u03b9\u03bc\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7. \u03a3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b1\u03c5\u03c4\u03cc\u03c2 \u03bf \u03c1\u03cc\u03bb\u03bf\u03c2 \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03bf\u03bd Lean kernel. \u03a3\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03c0\u03b5\u03b4\u03af\u03b1 \u03b8\u03b1 \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bd\u03c4\u03b1\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2, \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u00b7 \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03ad\u03bd\u03b1 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf LLM \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u00ab\u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c9\u03c3\u03c4\u03cc\u00bb.<\/p>\n<p>\u0397 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c1\u03c7\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03b1 intermediate artifacts \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03bf\u03bc\u03ae. \u0388\u03bd\u03b1 \u03b1\u03c1\u03c7\u03b5\u03af\u03bf \u03bc\u03b5 \u03c3\u03c5\u03bd\u03bf\u03bc\u03b9\u03bb\u03af\u03b5\u03c2 \u03ae \u03bc\u03b9\u03b1 \u03c0\u03b5\u03c1\u03af\u03bb\u03b7\u03c8\u03b7 \u03b4\u03b5\u03bd \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b5\u03b3\u03b3\u03cd\u03b7\u03c3\u03b7 \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c4\u03c5\u03c0\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03bf schema \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2, \u03c3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03c4\u03b9\u03ba\u03cc \u03cc\u03c1\u03bf. \u0393\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c1\u03bf\u03ad\u03c2 \u03b1\u03c5\u03c4\u03cc \u03bc\u03b5\u03c4\u03b1\u03c6\u03c1\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03b1\u03c6\u03b5\u03af\u03c2 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5\u03c2, \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5\u03c2, dependencies \u03ba\u03b1\u03b9 provenance \u03c0\u03c1\u03b9\u03bd \u03ad\u03bd\u03b1 \u03c5\u03c0\u03bf\u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b9\u03bc\u03bf.<\/p>\n<p>\u0397 \u03c4\u03c1\u03af\u03c4\u03b7 \u03b1\u03c1\u03c7\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf retrieval \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc \u03ba\u03b1\u03b9 \u03b5\u03bb\u03b5\u03b3\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf. \u0397 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd \u03b4\u03b5\u03bd \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b5 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf zero-shot \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1, \u03b5\u03bd\u03ce \u03b7 \u03c3\u03b7\u03bc\u03b1\u03c3\u03b9\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03ba\u03c4\u03b7\u03c3\u03b7 \u03c4\u03bf \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b5. \u03a4\u03bf \u03bc\u03ac\u03b8\u03b7\u03bc\u03b1 \u03b3\u03b9\u03b1 <a href=\"https:\/\/twodots.gr\/ai-mnimi-giati-anaktisi-apotygchanei-prin-xekinisei\/\">knowledge bases \u03ba\u03b1\u03b9 agent memory<\/a> \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03c0\u03bf\u03b8\u03ae\u03ba\u03b5\u03c5\u03c3\u03b7 \u03b1\u03c0\u03cc \u03bc\u03cc\u03bd\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b5\u03bd \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b1\u03be\u03af\u03b1. \u03a7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03bb\u03ae \u03b5\u03c5\u03c1\u03b5\u03c4\u03b7\u03c1\u03af\u03b1\u03c3\u03b7, \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf\u03c2 \u03c3\u03c5\u03bc\u03b2\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2.<\/p>\n<div class=\"td-step-list\">\n<p class=\"td-step-list-title\">Checklist \u03b3\u03b9\u03b1 \u03bc\u03bd\u03ae\u03bc\u03b7 AI \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b7 \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf<\/p>\n<ol>\n<li><span class=\"td-step-kicker\">Contract<\/span><strong>\u039f\u03c1\u03af\u03c3\u03c4\u03b5 \u03c0\u03bf\u03b9\u03bf \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 artifact \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b9\u03bc\u03bf<\/strong>\n<p>\u039c\u03b7\u03bd \u03b1\u03c0\u03bf\u03b8\u03b7\u03ba\u03b5\u03cd\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03b1\u03c3\u03b1\u03c6\u03ae \u00ab\u03ba\u03b1\u03bb\u03ae \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7\u00bb. \u039a\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c8\u03c4\u03b5 \u03b5\u03b9\u03c3\u03cc\u03b4\u03bf\u03c5\u03c2, \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2, \u03ad\u03be\u03bf\u03b4\u03bf, \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03c4\u03b9\u03ba\u03cc validation \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ae \u03c7\u03c1\u03ae\u03c3\u03b7.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">Verifier<\/span><strong>\u03a7\u03c9\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf\u03bd proposer \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03c3\u03bc\u03cc \u03b1\u03c0\u03bf\u03b4\u03bf\u03c7\u03ae\u03c2<\/strong>\n<p>\u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03ba\u03c5\u03c1\u03ce\u03bd\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03c4\u03bf\u03c5 \u03c4\u03b7 \u03bc\u03cc\u03bd\u03b9\u03bc\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7. \u03a7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03c4\u03b5 schema checks, tests, policy rules \u03ae authoritative APIs \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1 \u03bc\u03b5 \u03c4\u03bf domain.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">State<\/span><strong>\u0394\u03b9\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03c4\u03b5 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b1 \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03ba\u03c1\u03cd\u03b2\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ac<\/strong>\n<p>\u039a\u03ac\u03b8\u03b5 unresolved premise \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03c1\u03b7\u03c4\u03cc task. \u0397 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03b1\u03c0\u03b5\u03af \u03c3\u03b9\u03c9\u03c0\u03b7\u03c1\u03ac \u03c3\u03b5 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03ad\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">Retrieval<\/span><strong>\u0391\u03bd\u03b1\u03ba\u03c4\u03ae\u03c3\u03c4\u03b5 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac artifacts \u03ba\u03b1\u03b9 \u03b5\u03bb\u03ad\u03b3\u03be\u03c4\u03b5 \u03be\u03b1\u03bd\u03ac \u03c4\u03b7 \u03c3\u03c5\u03bc\u03b2\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1<\/strong>\n<p>\u0397 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03ad\u03b4\u03b5\u03b9\u03be\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c4\u03c5\u03c7\u03b1\u03af\u03bf retrieval \u03b4\u03b5\u03bd \u03c0\u03c1\u03cc\u03c3\u03c6\u03b5\u03c1\u03b5 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7. \u0397 \u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af: \u03bf\u03b9 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03bb\u03b9\u03bf\u03cd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u03bd\u03ad\u03bf context.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">Provenance<\/span><strong>\u039a\u03ac\u03bd\u03c4\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b1\u03bd\u03b9\u03c7\u03bd\u03b5\u03cd\u03c3\u03b9\u03bc\u03b7<\/strong>\n<p>\u039a\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c8\u03c4\u03b5 \u03b1\u03c0\u03cc \u03c0\u03bf\u03b9\u03bf run \u03c0\u03c1\u03bf\u03ae\u03bb\u03b8\u03b5 \u03c4\u03bf artifact, \u03c0\u03bf\u03b9\u03bf\u03c2 verifier \u03c4\u03bf \u03b4\u03ad\u03c7\u03b8\u03b7\u03ba\u03b5 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03b9\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5, \u03ce\u03c3\u03c4\u03b5 \u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c4\u03bf \u03b5\u03bb\u03ad\u03b3\u03be\u03b5\u03b9 \u03ae \u03bd\u03b1 \u03c4\u03bf \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03ad\u03c3\u03b5\u03b9.<\/p>\n<\/li>\n<li><span class=\"td-step-kicker\">Monitoring<\/span><strong>\u039c\u03b5\u03c4\u03c1\u03ae\u03c3\u03c4\u03b5 \u03b5\u03b3\u03ba\u03c5\u03c1\u03cc\u03c4\u03b7\u03c4\u03b1, \u03ba\u03ac\u03bb\u03c5\u03c8\u03b7 \u03ba\u03b1\u03b9 \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03be\u03b5\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac<\/strong>\n<p>\u03a0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ae\u03c3\u03c4\u03b5 accepted artifacts, rejected proposals, retrieval precision, \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ad\u03c2 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 compute cost. \u0388\u03bd\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf budget \u03b4\u03b5\u03bd \u03b5\u03b3\u03b3\u03c5\u03ac\u03c4\u03b1\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ae \u03bf\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ac \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf.<\/p>\n<\/li>\n<\/ol>\n<\/div>\n<h2 id=\"oria\">\u038c\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ac<\/h2>\n<p>\u0397 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b1\u03c5\u03c3\u03c4\u03b7\u03c1\u03cc \u03b1\u03bb\u03bb\u03ac \u03b5\u03b9\u03b4\u03b9\u03ba\u03cc \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03c4\u03c5\u03c0\u03b9\u03ba\u03ce\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf Lean 4. \u0395\u03ba\u03b5\u03af \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 kernel \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c8\u03b5\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b7 \u03ad\u03b3\u03ba\u03c5\u03c1\u03b7 \u03bc\u03b5\u03c4\u03ac\u03b2\u03b1\u03c3\u03b7. \u03a3\u03b5 marketing, customer experience \u03ae \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ae, \u03b7 \u00ab\u03c3\u03c9\u03c3\u03c4\u03ae\u00bb \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c3\u03c5\u03c7\u03bd\u03ac \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03c4\u03c5\u03c0\u03b9\u03ba\u03cc \u03c4\u03cd\u03c0\u03bf \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03bf\u03c2 verifier. \u0397 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03b7\u03c2 \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03c0\u03c1\u03bf\u03c3\u03bf\u03c7\u03ae \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03ae\u03b4\u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b4\u03b5\u03b9\u03b3\u03bc\u03ad\u03bd\u03b7 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae \u03bb\u03cd\u03c3\u03b7.<\/p>\n<p>\u03a4\u03b1 \u03b9\u03c3\u03c7\u03c5\u03c1\u03ac \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 benchmarks, \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1, budgets \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd Mathlib. \u03a3\u03c4\u03bf CombiBench \u03c4\u03bf ProofEvolve \u03b4\u03b5\u03bd \u03ae\u03c4\u03b1\u03bd \u03c0\u03c1\u03ce\u03c4\u03bf, \u03b5\u03bd\u03ce \u03c3\u03c4\u03b7\u03bd open-weight \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 11 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bb\u03c5\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c3\u03c4\u03cc\u03c7\u03bf\u03c5\u03c2 \u03b4\u03b5\u03bd \u03c0\u03c1\u03bf\u03b5\u03c1\u03c7\u03cc\u03c4\u03b1\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf IMO-LeanProofBench. \u0397 \u03ba\u03bb\u03b9\u03bc\u03ac\u03ba\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 compute \u03b1\u03cd\u03be\u03b7\u03c3\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ae \u03ba\u03ac\u03bb\u03c5\u03c8\u03b7, \u03b1\u03bb\u03bb\u03ac \u03cc\u03c7\u03b9 \u03bc\u03b5 \u03c4\u03c1\u03cc\u03c0\u03bf \u03c0\u03bf\u03c5 \u03bd\u03b1 \u03b5\u03b3\u03b3\u03c5\u03ac\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c1\u03cd\u03b8\u03bc\u03b9\u03c3\u03b7.<\/p>\n<p>\u03a4\u03ad\u03bb\u03bf\u03c2, \u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03c3\u03c5\u03c3\u03c3\u03ce\u03c1\u03b5\u03c5\u03c3\u03b7 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b7\u03c2 \u03b3\u03bd\u03ce\u03c3\u03b7\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03b5\u03bd\u03b7\u03bc\u03ad\u03c1\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b2\u03b1\u03c1\u03ce\u03bd \u03c4\u03bf\u03c5 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5, \u03cc\u03c7\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03ae\u03c1\u03c9\u03c2 \u03b1\u03c5\u03c4\u03cc\u03bd\u03bf\u03bc\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b1\u03bd\u03b1\u03ba\u03ac\u03bb\u03c5\u03c8\u03b7\u03c2. \u0397 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03c9\u03bd \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03ad\u03c9\u03bd \u03c3\u03b5 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c7\u03b7\u03bc\u03b5\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03bf\u03c0\u03c4\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03bc\u03b5\u03bb\u03bb\u03bf\u03bd\u03c4\u03b9\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1, \u03cc\u03c7\u03b9 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03c9\u03bc\u03ad\u03bd\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03bf\u03cd\u03c3\u03b1\u03c2 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c2.<\/p>\n<h2 id=\"symperasma\">\u0391\u03c0\u03cc \u03c4\u03b7 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03c3\u03c5\u03bd\u03bf\u03bc\u03b9\u03bb\u03b9\u03ce\u03bd \u03c3\u03c4\u03b7 \u03bc\u03bd\u03ae\u03bc\u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd<\/h2>\n<p>\u0397 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03ae \u03c4\u03bf\u03c5 ProofEvolve \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03ad\u03bd\u03b1 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03bf benchmark score. \u0395\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03c4\u03b7\u03c2 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1\u03c2 \u03bc\u03bd\u03ae\u03bc\u03b7\u03c2. \u03a4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b4\u03b5\u03bd \u03ba\u03c1\u03b1\u03c4\u03ac \u03bc\u03cc\u03bd\u03bf prompts, \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03ae \u03ad\u03bd\u03b1 \u03b5\u03bd\u03b7\u03bc\u03b5\u03c1\u03c9\u03bc\u03ad\u03bd\u03bf \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf. \u039a\u03c1\u03b1\u03c4\u03ac \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b4\u03bf\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03c4\u03bf\u03cd\u03bd \u03be\u03b1\u03bd\u03ac \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c7\u03b1\u03bb\u03b1\u03c1\u03ce\u03c3\u03b5\u03b9 \u03b7 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03bf\u03c1\u03b8\u03cc\u03c4\u03b7\u03c4\u03b1.<\/p>\n<p>\u0393\u03b9\u03b1 \u03cc\u03c3\u03bf\u03c5\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd <a href=\"https:\/\/twodots.gr\/skill-state-ai-agents-katastasi-ektelesis-ochi-istoriko\/\">AI agents \u03bc\u03b5 \u03c1\u03b7\u03c4\u03ae \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7<\/a>, \u03b1\u03c5\u03c4\u03cc \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03b9\u03bf \u03b1\u03c0\u03b1\u03b9\u03c4\u03b7\u03c4\u03b9\u03ba\u03cc \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03bf \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03cc\u03c1\u03bf \u00ab\u03bc\u03b1\u03b8\u03b1\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1\u00bb. \u0397 \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b1\u03be\u03af\u03b1 \u03cc\u03c4\u03b1\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03bc\u03bf\u03bd\u03c9\u03b8\u03b5\u03af, \u03bd\u03b1 \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af, \u03bd\u03b1 \u03b1\u03bd\u03b1\u03ba\u03c4\u03b7\u03b8\u03b5\u03af \u03c4\u03b7 \u03c3\u03c9\u03c3\u03c4\u03ae \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03c4\u03b5\u03af \u03bc\u03b5 \u03ad\u03bb\u03b5\u03b3\u03c7\u03bf \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03ce\u03bd \u03c4\u03b7\u03c2. \u03a4\u03bf ProofEvolve \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03bd\u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c4\u03b7 \u03c0\u03c1\u03bf\u03c3\u03c0\u03ac\u03b8\u03b5\u03b9\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b5\u03ba\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03b3\u03bd\u03ce\u03c3\u03b7\u03c2, \u03b1\u03c1\u03ba\u03b5\u03af \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bd\u03b1 \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03c0\u03bf\u03b9\u03bf \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03c3\u03c9\u03c3\u03c4\u03cc.<\/p>\n<section class=\"td-service-cta\">\n<div class=\"td-service-cta-content\">\n<p class=\"td-service-cta-eyebrow\">\u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0438\u044f \u043d\u0430 \u0431\u0438\u0437\u043d\u0435\u0441\u0430 \u0438 AI<\/p>\n<p class=\"td-service-cta-title\"><strong>\u03a3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b5 AI workflows \u03c0\u03bf\u03c5 \u03ba\u03c1\u03b1\u03c4\u03bf\u03cd\u03bd \u03bc\u03cc\u03bd\u03bf \u03b5\u03bb\u03b5\u03b3\u03bc\u03ad\u03bd\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7<\/strong><\/p>\n<p>\u0397 TWO DOTS \u03c7\u03b1\u03c1\u03c4\u03bf\u03b3\u03c1\u03b1\u03c6\u03b5\u03af deterministic validators, authoritative \u03c0\u03b7\u03b3\u03ad\u03c2, traceable memory, retrieval controls \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03b9\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03ad\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2, \u03ce\u03c3\u03c4\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03b1\u03c6\u03b5\u03af\u03c2 \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 provenance.<\/p>\n<div class=\"td-service-cta-actions\"><a class=\"td-service-cta-button\" href=\"https:\/\/twodots.gr\/aftomatismoi-epicheiriseon-ai\/\">\u0412\u0438\u0436\u0442\u0435 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0438\u044f\u0442\u0430 \u043d\u0430 \u0431\u0438\u0437\u043d\u0435\u0441 \u043f\u0440\u043e\u0446\u0435\u0441\u0438\u0442\u0435 \u0438 \u0438\u0437\u043a\u0443\u0441\u0442\u0432\u0435\u043d\u0438\u044f \u0438\u043d\u0442\u0435\u043b\u0435\u043a\u0442<\/a><\/div>\n<\/div>\n<\/section>\n<section id=\"sychnes-erotiseis\" class=\"td-faq-section\">\n<div class=\"td-faq\">\n<p class=\"td-faq-heading\">\u0427\u0435\u0441\u0442\u043e \u0437\u0430\u0434\u0430\u0432\u0430\u043d\u0438 \u0432\u044a\u043f\u0440\u043e\u0441\u0438<\/p>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf ProofEvolve;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03bf-\u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03ba\u03cc \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7\u03c2 \u03b8\u03b5\u03c9\u03c1\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd. \u0388\u03bd\u03b1 \u03b3\u03bb\u03c9\u03c3\u03c3\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bf kernel \u03c4\u03bf\u03c5 Lean 4 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03b5\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b5\u03c4\u03ac\u03b2\u03b1\u03c3\u03b7 \u03c0\u03c1\u03b9\u03bd \u03c0\u03c1\u03bf\u03c3\u03c4\u03b5\u03b8\u03b5\u03af \u03c3\u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03b3\u03bd\u03ce\u03c3\u03b7\u03c2.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u0393\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03b7 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1 \u03ae \u03b1\u03c0\u03bf\u03c4\u03c5\u03c7\u03af\u03b1;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03bc\u03b9\u03b1 \u03b1\u03bd\u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c4\u03b7 \u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03bb\u03ae\u03bc\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c5\u03c0\u03bf\u03c3\u03c4\u03cc\u03c7\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03ae\u03b4\u03b7 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af. \u0397 verified closure \u03b1\u03be\u03b9\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c3\u03c9\u03c3\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03bb\u03ae\u03c1\u03b7 \u03bb\u03cd\u03c3\u03b7.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 AND-OR proof DAG;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03ac\u03ba\u03c5\u03ba\u03bb\u03bf\u03c2 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c2 \u03cc\u03c0\u03bf\u03c5 \u03bf\u03b9 OR \u03ba\u03bb\u03ac\u03b4\u03bf\u03b9 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b9\u03c3\u03c4\u03bf\u03cd\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 AND \u03ba\u03bb\u03ac\u03b4\u03bf\u03b9 \u03c3\u03cd\u03bd\u03bf\u03bb\u03b1 \u03c5\u03c0\u03bf\u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bb\u03c5\u03b8\u03bf\u03cd\u03bd \u03cc\u03bb\u03b1.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03bf\u03b9\u03b1 \u03ae\u03c4\u03b1\u03bd \u03b7 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03b4\u03bf\u03c3\u03b7 \u03c3\u03c4\u03b1 benchmarks;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u03a3\u03c4\u03bf\u03bd \u03bc\u03ad\u03c3\u03bf \u03cc\u03c1\u03bf PutnamBench, IMO-LeanProofBench \u03ba\u03b1\u03b9 CombiBench, \u03c4\u03bf ProofEvolve \u03c0\u03ad\u03c4\u03c5\u03c7\u03b5 solve rate 57,8%, \u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 50,5% \u03b3\u03b9\u03b1 \u03c4\u03bf LEAP \u03ba\u03b1\u03b9 45,9% \u03b3\u03b9\u03b1 \u03c4\u03bf Hilbert.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03cc\u03c3\u03bf \u03b2\u03bf\u03ae\u03b8\u03b7\u03c3\u03b5 \u03b7 \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03c5\u03bc\u03ad\u03bd\u03c9\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c9\u03bd;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u03a3\u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 744 Lean Workbook \u03b8\u03b5\u03c9\u03c1\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bc\u03b5 K=8, \u03c4\u03bf \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc retrieval \u03b1\u03cd\u03be\u03b7\u03c3\u03b5 \u03c4\u03bf solve rate \u03b1\u03c0\u03cc 49,5% \u03c3\u03b5 53,4%. \u03a4\u03bf \u03c4\u03c5\u03c7\u03b1\u03af\u03bf retrieval \u03ad\u03c6\u03c4\u03b1\u03c3\u03b5 49,6%.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u0395\u03bd\u03b7\u03bc\u03b5\u03c1\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03b1 \u03b2\u03ac\u03c1\u03b7 \u03c4\u03bf\u03c5 \u03b3\u03bb\u03c9\u03c3\u03c3\u03b9\u03ba\u03bf\u03cd \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf\u03c5;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u038c\u03c7\u03b9 \u03c3\u03c4\u03b1 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03c0\u03b5\u03b9\u03c1\u03ac\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2. \u03a4\u03b1 base-model parameters \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03c0\u03b1\u03b3\u03c9\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c5\u03c3\u03c3\u03ce\u03c1\u03b5\u03c5\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c1\u03b7\u03c4\u03bf\u03cd\u03c2, kernel-checked \u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 schemas.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u039c\u03c0\u03bf\u03c1\u03b5\u03af \u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03bd\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03c4\u03b5\u03af \u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03b5 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 AI agents;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u038c\u03c7\u03b9 \u03c7\u03c9\u03c1\u03af\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae. \u0397 \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03bf\u03c5 verifier \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b4\u03bf\u03bc\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03bc\u03bd\u03ae\u03bc\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03b7, \u03b1\u03bb\u03bb\u03ac \u03c4\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03b5\u03b4\u03af\u03b1 \u03b4\u03b5\u03bd \u03b4\u03b9\u03b1\u03b8\u03ad\u03c4\u03bf\u03c5\u03bd \u03c4\u03c5\u03c0\u03b9\u03ba\u03cc kernel \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf \u03c4\u03bf\u03c5 Lean.<\/p>\n<\/div>\n<\/details>\n<details class=\"td-faq-item\">\n<summary class=\"td-faq-title\">\u03a0\u03bf\u03b9\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03bf\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2;<\/summary>\n<div class=\"td-faq-content\">\n<p>\u03a4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd Lean, \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 benchmarks, \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03ba\u03b1\u03b9 \u03c5\u03c8\u03b7\u03bb\u03cc \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2. \u0394\u03b5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae, \u03bf\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ac \u03b2\u03b9\u03ce\u03c3\u03b9\u03bc\u03b7 \u03b1\u03c5\u03c4\u03bf\u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7.<\/p>\n<\/div>\n<\/details>\n<\/div>\n<\/section>\n<div class=\"td-source-list\">\n<p id=\"piges\" class=\"td-source-list-title\">\u0418\u0437\u0442\u043e\u0447\u043d\u0438\u0446\u0438<\/p>\n<ul>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2608.26334\" target=\"_blank\" rel=\"noopener noreferrer\">Ye \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03ac\u03c4\u03b5\u03c2, ProofEvolve: Neuro-Symbolic Evolution for Formal Automated Theorem Proving, arXiv:2608.26334<\/a><\/li>\n<li><a href=\"https:\/\/lean-lang.org\/learn\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lean, \u03b5\u03c0\u03af\u03c3\u03b7\u03bc\u03b7 \u03c4\u03b5\u03ba\u03bc\u03b7\u03c1\u03af\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b9\u03ba\u03cc \u03c5\u03bb\u03b9\u03ba\u03cc \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd theorem prover Lean 4<\/a><\/li>\n<li><a href=\"https:\/\/www.nist.gov\/itl\/ai-risk-management-framework\" target=\"_blank\" rel=\"noopener noreferrer\">NIST, AI Risk Management Framework<\/a><\/li>\n<\/ul>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u03a4\u03bf ProofEvolve \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03b5\u03af kernel-checked \u03b5\u03bd\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03b1 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1, \u03c4\u03b1 \u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9 \u03c3\u03b5 proof DAGs \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c7\u03b1\u03bb\u03b1\u03c1\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03bf\u03c1\u03b8\u03cc\u03c4\u03b7\u03c4\u03b1.<\/p>","protected":false},"author":1,"featured_media":114089,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_gspb_post_css":"","footnotes":""},"categories":[199],"tags":[6506,21947,21946,21948,21949],"class_list":["post-105409","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-techniti-noimosyni","tag-ai-agents","tag-lean-4","tag-proofevolve","tag-aftomatopoiimeni-apodeixi","tag-nevro-symvoliki-ai"],"_links":{"self":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts\/105409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/comments?post=105409"}],"version-history":[{"count":0,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/posts\/105409\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/media\/114089"}],"wp:attachment":[{"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/media?parent=105409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/categories?post=105409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/twodots.gr\/bg\/wp-json\/wp\/v2\/tags?post=105409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}