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» Resolution for Intuitionistic Logic
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IANDC
2010
91views more  IANDC 2010»
13 years 6 months ago
Functional interpretations of linear and intuitionistic logic
This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting o...
Paulo Oliva
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
APAL
2005
135views more  APAL 2005»
13 years 7 months ago
Safe beliefs for propositional theories
We propose an extension of answer sets, that we call safe beliefs, that can be used to study several properties and notions of answer sets and logic programming from a more genera...
Mauricio Osorio, Juan Antonio Navarro Pérez...