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» Automating Theories in Intuitionistic Logic
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LICS
1991
IEEE
13 years 9 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
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 13 days ago
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a...
Robert Rothenberg
CADE
1997
Springer
13 years 9 months ago
Deciding Intuitionistic Propositional Logic via Translation into Classical Logic
Abstract. We present a technique that efficiently translates propositional intuitionistic formulas into propositional classical formulas. This technique allows the use of arbitrary...
Daniel S. Korn, Christoph Kreitz
TYPES
2000
Springer
13 years 9 months ago
Collection Principles in Dependent Type Theory
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
Peter Aczel, Nicola Gambino
CADE
2005
Springer
14 years 5 months ago
A Focusing Inverse Method Theorem Prover for First-Order Linear Logic
We present the theory and implementation of a theorem prover for first-order intuitionistic linear logic based on the inverse method. The central proof-theoretic insights underlyin...
Kaustuv Chaudhuri, Frank Pfenning