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» Deep Sequent Systems for Modal Logic
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SLOGICA
2002
98views more  SLOGICA 2002»
13 years 5 months ago
A Cut-Free Sequent System for the Smallest Interpretability Logic
In [Sas01], it was given a cut-free sequent system for the smallest interpretability logic IL. He first gave a cut-free system for IK4, a sublogic of IL, whose -free fragment is th...
Katsumi Sasaki
CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 5 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
CADE
2007
Springer
14 years 5 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
JAPLL
2010
85views more  JAPLL 2010»
13 years 5 days ago
Hybrid logic with the difference modality for generalisations of graphs
We discuss recent work generalising the basic hybrid logic with the difference modality to any reasonable notion of transition. This applies equally to both subrelational transiti...
Robert S. R. Myers, Dirk Pattinson
TLCA
2009
Springer
13 years 12 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger