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ECAI
2004
Springer
14 years 28 days 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
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 2 months 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
TYPES
2007
Springer
14 years 1 months ago
Dependently Sorted Logic
Abstract. We propose syntax and semantics for systems of intuitionistic and classical first order dependently sorted logic, with and withlity, retaining type dependency, but other...
João Filipe Belo
JAPLL
2007
113views more  JAPLL 2007»
13 years 7 months ago
Fresh Logic: proof-theory and semantics for FM and nominal techniques
In this paper we introduce Fresh Logic, a natural deduction style first-order logic extended with term-formers and quantifiers derived from the model of names and binding in abst...
Murdoch Gabbay
CADE
2009
Springer
14 years 8 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