Artificial intelligence

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Sequent calculi for temporal and multimodal logics of partial predicates

Shkilniak O.1
1 Taras Shevchenko National University of Kyiv

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UDC: 004.42:510.69
Publication Language: Ukrainian
Stuc. intelekt. 2013; 18(1):55–66

Abstract: We study transitional composition-nominative modal logics. The properties of logical consequence relation for sets of state-specified formulas for these logics are investigated. Sequent calculi are constructed for pure first-order temporal and multimodal logics of equitone predicates. For the defined calculi the soundness and completeness theorems are proved.

Keywords: modal logic, predicate, logical consequence, sequent calculus

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