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TABLEAUX
2009
Springer
14 years 2 days ago
Taming Displayed Tense Logics Using Nested Sequents with Deep Inference
We consider two sequent calculi for tense logic in which the syntactic judgements are nested sequents, i.e., a tree of traditional onesided sequents built from multisets of formula...
Rajeev Goré, Linda Postniece, Alwen Tiu
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
WOLLIC
2009
Springer
14 years 4 days ago
Deep Inference in Bi-intuitionistic Logic
Bi-intuitionistic logic is the extension of intuitionistic logic with exclusion, a connective dual to implication. Cut-elimination in biintuitionistic logic is complicated due to t...
Linda Postniece
AIML
2006
13 years 7 months ago
Deep Sequent Systems for Modal Logic
We see a systematic set of cut-free axiomatisations for all the basic normal modal logics formed by some combination the axioms d, t, b, 4, 5. They employ a form of deep inference ...
Kai Brünnler