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» Automating Theories in Intuitionistic Logic
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LOGCOM
2010
136views more  LOGCOM 2010»
14 years 8 months 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
88
Voted
CADE
2009
Springer
15 years 11 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 3 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
97
Voted
CSL
2007
Springer
15 years 4 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
73
Voted
AISC
2008
Springer
15 years 7 days 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