Proof Analysis in Modal Logic
Journal of Philosophical Logic 34 (5-6):507-544 (2005)
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| Abstract |
A general method for generating contraction- and cut-free sequent calculi for a large family of normal modal logics is presented. The method covers all modal logics characterized by Kripke frames determined by universal or geometric properties and it can be extended to treat also Gödel-Löb provability logic. The calculi provide direct decision methods through terminating proof search. Syntactic proofs of modal undefinability results are obtained in the form of conservativity theorems.
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| Keywords | Philosophy |
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| DOI | 10.1007/s10992-005-2267-3 |
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References found in this work BETA
Structural Proof Theory.Sara Negri, Jan von Plato & Aarne Ranta - 2001 - Cambridge University Press.
Contraction-Free Sequent Calculi for Geometric Theories with an Application to Barr's Theorem.Sara Negri - 2003 - Archive for Mathematical Logic 42 (4):389-401.
Cut Elimination in the Presence of Axioms.Sara Negri & Jan Von Plato - 1998 - Bulletin of Symbolic Logic 4 (4):418-435.
View all 22 references / Add more references
Citations of this work BETA
Does the Deduction Theorem Fail for Modal Logic?Raul Hakli & Sara Negri - 2012 - Synthese 187 (3):849-867.
Proof Analysis in Intermediate Logics.Roy Dyckhoff & Sara Negri - 2012 - Archive for Mathematical Logic 51 (1-2):71-92.
Deep Sequent Systems for Modal Logic.Kai Brünnler - 2009 - Archive for Mathematical Logic 48 (6):551-577.
Omega-Inconsistency Without Cuts and Nonstandard Models.Andreas Fjellstad - 2016 - Australasian Journal of Logic 13 (5).
Prefixed Tableaus and Nested Sequents.Melvin Fitting - 2012 - Annals of Pure and Applied Logic 163 (3):291 - 313.
View all 58 citations / Add more citations
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