Journal of Philosophical Logic 34 (5-6):507-544 (2005)
| Authors |
|
| 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.
|
| Keywords | Philosophy |
| Categories | (categorize this paper) |
| DOI | 10.1007/s10992-005-2267-3 |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Structural Proof Theory.Sara Negri, Jan von Plato & Aarne Ranta - 2001 - Cambridge University Press.
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.
Proof Analysis for Lewis Counterfactuals.Sara Negri & Giorgio Sbardolini - 2016 - Review of Symbolic Logic 9 (1):44-75.
A More Unified Approach to Free Logics.Edi Pavlović & Norbert Gratzl - 2021 - Journal of Philosophical Logic 50 (1):117-148.
Proofs and Countermodels in Non-Classical Logics.Sara Negri - 2014 - Logica Universalis 8 (1):25-60.
View all 70 citations / Add more citations
Similar books and articles
The Unprovability of Consistency: An Essay in Modal Logic.George Boolos - 1979 - Cambridge University Press.
Proof Analysis in Intermediate Logics.Roy Dyckhoff & Sara Negri - 2012 - Archive for Mathematical Logic 51 (1-2):71-92.
The Contribution of A.V. Kuznetsov to the Theory of Modal Systems and Structures.Alexei Y. Muravitsky - 2008 - Logic and Logical Philosophy 17 (1-2):41-58.
A Proof-Theoretic Study of the Correspondence of Classical Logic and Modal Logic.H. Kushida & M. Okada - 2003 - Journal of Symbolic Logic 68 (4):1403-1414.
Syntactical Results on the Arithmetical Completeness of Modal Logic.Paolo Gentilini - 1993 - Studia Logica 52 (4):549 - 564.
A Buchholz Rule for Modal Fixed Point Logics.Gerhard Jäger & Thomas Studer - 2011 - Logica Universalis 5 (1):1-19.
On the Proof of Solovay's Theorem.Dick Jongh, Marc Jumelet & Franco Montagna - 1991 - Studia Logica 50 (1):51 - 69.
Revising Carnap’s Semantic Conception of Modality.Toby Meadows - 2012 - Studia Logica 100 (3):497-515.
Proof-Theoretic Modal Pa-Completeness I: A System-Sequent Metric.Paolo Gentilini - 1999 - Studia Logica 63 (1):27-48.
Propositional Abduction in Modal Logic.Marta Cialdea Mayer & Fiora Pirri - 1995 - Logic Journal of the IGPL 3 (6):907-919.
Proof Analysis: A Contribution to Hilbert's Last Problem.Sara Negri & Jan von Plato - 2011 - Cambridge University Press.
Analytics
Added to PP index
2009-01-28
Total views
105 ( #94,657 of 2,411,744 )
Recent downloads (6 months)
2 ( #346,256 of 2,411,744 )
2009-01-28
Total views
105 ( #94,657 of 2,411,744 )
Recent downloads (6 months)
2 ( #346,256 of 2,411,744 )
How can I increase my downloads?
Downloads
