On the proof theory of infinitary modal logic
WebThe article deals with infinitary modal logic. We first discuss the difficulties related to the development of a satisfactory proof theory and then we show how to overcome these … Web1 de dez. de 2024 · The article deals with infinitary modal logic. We first discuss the difficulties related to the development of a satisfactory proof theory and then we show …
On the proof theory of infinitary modal logic
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WebThis book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community.
Web1 de jun. de 2024 · Article on On the Proof Theory of Infinitary Modal Logic, published in Studia Logica on 2024-06-01 by Matteo Tesi. Read the article On the Proof Theory of Infinitary Modal Logic on R Discovery, your go-to avenue for effective literature search. WebThis paper deals with the infinitary modal propositional logic Kω1, featuring countable disjunctions and conjunc- tions. ... Proof Theory in Logic and Philosophy of Logic. Keywords. infinitary logic Kripke semantics sequent-style calculi modal logic cut-elimination. DOI.
WebSome Remarks on the Proof-Theory and the Semantics of Infinitary Modal Logic Advances in Proof Theory - Progress in Computer Science and Applied Logic 10.1007/978-3-319-29198-7_8 WebA generalization of standard Kripke semantics is introduced, and it is proved that the stronger system, allowing countably infinite sequents, axiomatizes \(\mathbf {K}_{\omega _1}\), although it provably does not admit cut-elimination. We investigate the (multiagent) infinitary version \(\mathbf {K}_{\omega _1}\) of the propositional modal logic \(\mathbf …
WebAn infinitary proof theory is developed for modal logics whose models are coalgebras of polynomial functors on the category of sets. The canonical model method from modal logic is adapted to construct a final coalgebra for any polynomial functor. The ...
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