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» Resolution for Intuitionistic Logic
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MLQ
2010
99views more  MLQ 2010»
13 years 6 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
CADE
2008
Springer
14 years 8 months ago
Proof Systems for Effectively Propositional Logic
We consider proof systems for effectively propositional logic. First, we show that propositional resolution for effectively propositional logic may have exponentially longer refuta...
Andrei Voronkov, Juan Antonio Navarro Pérez
ENTCS
2007
91views more  ENTCS 2007»
13 years 7 months ago
A Logic for Reasoning about Generic Judgments
This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
Alwen Tiu
SLOGICA
2002
81views more  SLOGICA 2002»
13 years 7 months ago
Bicartesian Coherence
A survey is given of results about coherence for categories with finite products and coproducts. For these results, which were published previously by the authors in several places...
Kosta Dosen, Zoran Petric
PADL
2007
Springer
14 years 1 months ago
Aspect-Oriented Programming in Higher-Order and Linear Logic
Essential elements of aspect-oriented programming can be formulated as forms of logic programming. Extensions of Horn Clause rovide richer abstraction and control mechanisms. Defi...
Chuck C. Liang