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

Intelligent systems. Theory and applications, 2019 Volume 23, Issue 4, Pages 39–90 (Mi ista248)

Part 2. Special Issues in Intellectual Systems Theory

About proof-search in classical natural deduction calculus using partial skolemization

O. A. Okhotnikov


Abstract: Automated proof search in single-conclusion sequential variant of classical predicate calculus is considered. In this algorithm, metavariables and partial skolemization are used. Theorems of soundness and completeness for the considered algorithm are proved.

Keywords: automated theorem proving, mechanical proof search, first order language, predicate calculus, sequent calculus, production system, artificial intelligence.



© Steklov Math. Inst. of RAS, 2024