Search Results - "Blanqui, Frédéric"
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Termination of rewrite relations on λ-terms based on Girard's notion of reducibility
Published in Theoretical computer science (18-01-2016)“…In this paper, we show how to extend the notion of reducibility introduced by Girard for proving the termination of β-reduction in the polymorphic λ-calculus,…”
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Sharing proofs with predicative theories through universe-polymorphic elaboration
Published in Logical methods in computer science (10-09-2024)“…As the development of formal proofs is a time-consuming task, it is important to devise ways of sharing the already written proofs to prevent wasting time…”
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A modular construction of type theories
Published in Logical methods in computer science (14-02-2023)“…The lambda-Pi-calculus modulo theory is a logical framework in which many type systems can be expressed as theories. We present such a theory, the theory U,…”
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EKSTRAKTO A tool to reconstruct Dedukti proofs from TSTP files (extended abstract)
Published in Electronic proceedings in theoretical computer science (23-08-2019)“…Proof assistants often call automated theorem provers to prove subgoals. However, each prover has its own proof calculus and the proof traces that it produces…”
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The computability path ordering
Published in Logical methods in computer science (26-10-2015)“…This paper aims at carrying out termination proofs for simply typed higher-order calculi automatically by using ordering comparisons. To this end, we introduce…”
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On the confluence of lambda-calculus with conditional rewriting
Published in Theoretical computer science (07-08-2010)“…The confluence of untyped λ -calculus with unconditional rewriting is now well un- derstood. In this paper, we investigate the confluence of λ -calculus with…”
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Sharing proofs with predicative theories through universe-polymorphic elaboration
Published 09-09-2024“…Logical Methods in Computer Science, Volume 20, Issue 3 (September 10, 2024) lmcs:12213 As the development of formal proofs is a time-consuming task, it is…”
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Type safety of rewrite rules in dependent types
Published 30-10-2020“…5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020), Jun 2020, Paris, France. pp.14 The expressiveness of dependent…”
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The New Rewriting Engine of Dedukti
Published 15-02-2022“…FSCD 2020 - 5th International Conference on Formal Structures for Computation and Deduction, Jun 2020, Paris, France. pp.16 Dedukti is a type-checker for the…”
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Encoding of Predicate Subtyping with Proof Irrelevance in the $\lambda$$\Pi$-Calculus Modulo Theory
Published 26-10-2021“…The $\lambda$$\Pi$-calculus modulo theory is a logical framework in which various logics and type systems can be encoded, thus helping the cross-verification…”
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Higher-order dependency pairs
Published 24-04-2018“…Eighth International Workshop on Termination - WST 2006, Aug 2006, Seattle, United States. 2006 Arts and Giesl proved that the termination of a first-order…”
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Size-based termination of higher-order rewriting
Published 19-02-2018“…We provide a general and modular criterion for the termination of simply-typed $\lambda$ -calculus extended with function symbols defined by user-defined…”
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Translating proofs from an impredicative type system to a predicative one
Published 10-11-2022“…As the development of formal proofs is a time-consuming task, it is important to devise ways of sharing the already written proofs to prevent wasting time…”
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Termination of $\lambda$$\Pi$ modulo rewriting using the size-change principle (work in progress)
Published 05-12-2018“…16th International Workshop on Termination, Jul 2018, Oxford, United Kingdom The Size-Change Termination principle was first introduced to study the…”
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Termination of rewrite relations on $\lambda$-terms based on Girard's notion of reducibility
Published 02-09-2015“…In this paper, we show how to extend the notion of reducibility introduced by Girard for proving the termination of $\beta$-reduction in the polymorphic…”
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Proceedings of the 13th International Workshop on Logical Frameworks and Meta-Languages: Theory and Practice
Published 03-07-2018“…EPTCS 274, 2018 This volume contains a selection of papers presented at LFMTP 2018, the 13th international Workshop on Logical Frameworks and Meta-Languages:…”
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A modular construction of type theories
Published 13-02-2023“…Logical Methods in Computer Science, Volume 19, Issue 1 (February 14, 2023) lmcs:8637 The lambda-Pi-calculus modulo theory is a logical framework in which many…”
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A point on fixpoints in posets
Published 23-12-2014“…Let $(X,\le)$ be a {\em non-empty strictly inductive poset}, that is, a non-empty partially ordered set such that every non-empty chain $Y$ has a least upper…”
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Dependency Pairs Termination in Dependent Type Theory Modulo Rewriting
Published 22-10-2019“…Dependency pairs are a key concept at the core of modern automated termination provers for first-order term rewriting systems. In this paper, we introduce an…”
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