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» The basic intuitionistic logic of proofs
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LICS
1991
IEEE
13 years 10 months ago
Logic Programming in a Fragment of Intuitionistic Linear Logic
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...
Joshua S. Hodas, Dale Miller
TPHOL
2000
IEEE
13 years 11 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
FSTTCS
2005
Springer
14 years 6 days ago
Testing Concurrent Systems: An Interpretation of Intuitionistic Logic
Abstract. We present a natural confluence of higher-order hereditary Harrop formulas (HH formulas), Constraint Logic Programming (CLP, [JL87]), and Concurrent Constraint Programmi...
Radha Jagadeesan, Gopalan Nadathur, Vijay A. Saras...
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
CADE
2009
Springer
14 years 7 months ago
Efficient Intuitionistic Theorem Proving with the Polarized Inverse Method
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
Sean McLaughlin, Frank Pfenning