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» Automating Proofs in Category Theory
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CADE
2006
Springer
14 years 5 months ago
Automating Proofs in Category Theory
Abstract. We introduce a semi-automated proof system for basic category-theoretic reasoning. It is based on a first-order sequent calculus that captures the basic properties of cat...
Dexter Kozen, Christoph Kreitz, Eva Richter
LACL
1998
Springer
13 years 9 months ago
Anaphora and Quantification in Categorial Grammar
Abstract. The paper proposes a type logical reformulation of Jacobson's ([9]) treatment of anaphoric dependencies in Categorial Grammar. To this end, the associative Lambek Ca...
Gerhard Jäger
PEPM
2010
ACM
13 years 6 months ago
A3PAT, an approach for certified automated termination proofs
Software engineering, automated reasoning, rule-based programming or specifications often use rewriting systems for which termination, among other properties, may have to be ensur...
Evelyne Contejean, Andrey Paskevich, Xavier Urbain...
CORR
2006
Springer
104views Education» more  CORR 2006»
13 years 4 months ago
From Proof Nets to the Free *-Autonomous Category
Abstract. In the first part of this paper we present a theory of proof nets for full multiplicative linear logic, including the two units. It naturally extends the well-known theor...
François Lamarche, Lutz Straßburger
FLOPS
2006
Springer
13 years 8 months ago
A Computational Approach to Pocklington Certificates in Type Theory
Pocklington certificates are known to provide short proofs of primality. We show how to perform this in the framework of formal, mechanically checked, proofs. We present an encodin...
Benjamin Grégoire, Laurent Théry, Be...