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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2020 Volume 24, Issue 1, Pages 7–24 (Mi ista254)

Part 1. General problems of the intellectual systems theory

About verification of formalized mathematical proofs

Yu. I. Vtorushin


Abstract: An algorithm for verification of formalized mathematical proofs is considered. Its main part is described in the framework of some production system with metavariables. Theorems of soundness and completeness are proved.

Keywords: automated theorem proving, system for automated deduction, first order language, predicate calculus, production system, artificial intelligence.



© Steklov Math. Inst. of RAS, 2024