Refutation-Aware Gentzen-Style Calculi for Propositional Until-Free Linear-Time Temporal Logic

被引:0
|
作者
Norihiro Kamide
机构
[1] Nagoya City University,Department of Data Science, School of Data Science
来源
Studia Logica | 2023年 / 111卷
关键词
Linear-time temporal logic; Refutation-aware Gentzen-style sequent calculus; Refutation-aware Kripke-style semantics; Completeness theorem; Cut-elimination theorem;
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摘要
This study introduces refutation-aware Gentzen-style sequent calculi and Kripke-style semantics for propositional until-free linear-time temporal logic. The sequent calculi and semantics are constructed on the basis of the refutation-aware setting for Nelson’s paraconsistent logic. The cut-elimination and completeness theorems for the proposed sequent calculi and semantics are proven.
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页码:979 / 1014
页数:35
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