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<p>This paper develops a sequent calculus framework for representing locally and globally valid metainferences through which contraction-free sequent calculi for the modal logics S5 and the propositional fragment of Carnap’s C are obtained. The sequent calculi allow for strongly terminating and backtracking-free proof search, features which in turn arguably explain <i>why</i> the decision problems for S5 and the propositional fragment of Carnap’s C are reducible to that of propositional classical logic.</p>

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Metainferences, Invalidities and Contraction-Free Sequent Calculi for S5 and Carnap’s C

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月1日

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  • Andreas Fjellstad

摘要

This paper develops a sequent calculus framework for representing locally and globally valid metainferences through which contraction-free sequent calculi for the modal logics S5 and the propositional fragment of Carnap’s C are obtained. The sequent calculi allow for strongly terminating and backtracking-free proof search, features which in turn arguably explain why the decision problems for S5 and the propositional fragment of Carnap’s C are reducible to that of propositional classical logic.