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» Automating Theories in Intuitionistic Logic
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136
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LOGCOM
2010
136views more  LOGCOM 2010»
15 years 9 days ago
Combining Derivations and Refutations for Cut-free Completeness in Bi-intuitionistic Logic
Bi-intuitionistic logic is the union of intuitionistic and dual intuitionistic logic, and was introduced by Rauszer as a Hilbert calculus with algebraic and Kripke semantics. But ...
Rajeev Goré, Linda Postniece
120
Voted
CADE
2009
Springer
16 years 2 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
ECAI
2004
Springer
15 years 7 months ago
New Insights on the Intuitionistic Interpretation of Default Logic
In this work we further investigate the relation, first found by Truszczy´nski, between modal logic S4F and Default Logic (DL), analyzing some interesting properties and showing ...
Pedro Cabalar, David Lorenzo
CSL
2007
Springer
15 years 8 months ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
AISC
2008
Springer
15 years 3 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban