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» A Connection Based Proof Method for Intuitionistic Logic
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CADE
2007
Springer
14 years 7 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
LICS
1995
IEEE
13 years 11 months ago
Structural Cut Elimination
We present new proofs of cut elimination for intuitionistic, classical, and linear sequent calculi. In all cases the proofs proceed by three nested structural inductions, avoiding...
Frank Pfenning
ENTCS
2011
129views more  ENTCS 2011»
13 years 2 months ago
Specifying Proof Systems in Linear Logic with Subexponentials
In the past years, linear logic has been successfully used as a general logical framework for encoding proof systems. Due to linear logic’s finer control on structural rules, i...
Vivek Nigam, Elaine Pimentel, Giselle Reis
PLPV
2009
ACM
14 years 4 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 7 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno