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» The basic intuitionistic logic of proofs
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TLCA
2007
Springer
14 years 25 days ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
AISC
2004
Springer
13 years 10 months ago
Four Approaches to Automated Reasoning with Differential Algebraic Structures
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation o...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
TLCA
2009
Springer
14 years 1 months ago
Lexicographic Path Induction
Abstract. Programming languages theory is full of problems that reduce to proving the consistency of a logic, such as the normalization of typed lambda-calculi, the decidability of...
Jeffrey Sarnat, Carsten Schürmann
AMAI
2008
Springer
13 years 6 months ago
Justification logics, logics of knowledge, and conservativity
Several justification logics have been created, starting with the logic LP, [1]. These can be thought of as explicit versions of modal logics, or of logics of knowledge or belief,...
Melvin Fitting
DLOG
2007
13 years 9 months ago
A Constructive Semantics for ALC
One of the main concerns of constructive semantics is to provide a computational interpretation for the proofs of a given logic. In this paper we introduce a constructive semantics...
Loris Bozzato, Mauro Ferrari, Camillo Fiorentini, ...