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» Proof Reflection in Coq
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JAR
2002
77views more  JAR 2002»
13 years 10 months ago
Proof Reflection in Coq
We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
Dimitri Hendriks
CADE
2005
Springer
14 years 11 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
CIE
2008
Springer
14 years 26 days ago
Extraction in Coq: An Overview
The extraction mechanism of Coq allows one to transform Coq proofs and functions into functional programs. We illustrate the behavior of this tool by reviewing several variants of ...
Pierre Letouzey
ISSE
2010
13 years 5 months ago
Coloured Petri net refinement specification and correctness proof with Coq
In this work, we address the formalisation of symmetric nets, a subclass of coloured Petri nets, refinement in COQ. We first provide a formalisation of the net models, and of thei...
Christine Choppy, Micaela Mayero, Laure Petrucci
IPPS
2002
IEEE
14 years 3 months ago
Proving Self-Stabilization with a Proof Assistant
We present a formalization of a proof of self-stabilization in the Coq proof assistant. Coq is a program allowing to define mathematical objects and properties, and to make proof...
Pierre Courtieu