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» Inductive Situation Calculus
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CSL
2005
Springer
14 years 1 months ago
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Frédéric Blanqui
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 7 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
ENTCS
2000
114views more  ENTCS 2000»
13 years 7 months ago
Syntactic Type Soundness for the Region Calculus
The region calculus of Tofte and Talpin is an annotated polymorphically typed lambda calculus which makes memory allocation and deallocation explicit. It is intended as an interme...
Simon Helsen, Peter Thiemann
CADE
2003
Springer
14 years 7 months ago
Proof Search and Proof Check for Equational and Inductive Theorems
This paper presents on-going researches on theoretical and practical issues of combining rewriting based automated theorem proving and user-guided proof development, with the stron...
Eric Deplagne, Claude Kirchner, Hélè...
JUCS
2010
95views more  JUCS 2010»
13 years 2 months ago
Realisability for Induction and Coinduction with Applications to Constructive Analysis
Abstract: We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped -calcul...
Ulrich Berger