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» The Calculus of Algebraic Constructions
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APAL
2007
78views more  APAL 2007»
13 years 9 months ago
Partial Horn logic and cartesian categories
A logic is developed in which function symbols are allowed to represent partial functions. It has the usual rules of logic (in the form of a sequent calculus) except that the subs...
Erik Palmgren, Steven J. Vickers
TAMC
2010
Springer
14 years 2 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
VMCAI
2010
Springer
14 years 7 months ago
Building a Calculus of Data Structures
Abstract. Techniques such as verification condition generation, preditraction, and expressive type systems reduce software verification to proving formulas in expressive logics. Pr...
Viktor Kuncak, Ruzica Piskac, Philippe Suter, Thom...
CSL
2007
Springer
14 years 3 months ago
Classical Program Extraction in the Calculus of Constructions
We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with...
Alexandre Miquel
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 9 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui