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» Surreal Numbers in Coq
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TYPES
2004
Springer
13 years 10 months ago
Surreal Numbers in Coq
Lionel Elie Mamane
TYPES
2000
Springer
13 years 8 months ago
Constructive Reals in Coq: Axioms and Categoricity
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Herman Geuvers, Milad Niqui
ENTCS
2006
153views more  ENTCS 2006»
13 years 4 months ago
Automatic Complexity Analysis for Programs Extracted from Coq Proof
We describe an automatic complexity analysis mechanism for programs extracted from proofs carried out with the proof assistant Coq. By extraction, we mean the automatic generation...
Jean-Pierre Jouannaud, Weiwen Xu
TYPES
2000
Springer
13 years 8 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
ITP
2010
172views Mathematics» more  ITP 2010»
13 years 3 months ago
Automated Machine-Checked Hybrid System Safety Proofs
mentation of the Abstraction Method In Coq Eelis van der Weegen Institute for Computing and Information Sciences Raboud University Nijmegen This technical report documents our deve...
Herman Geuvers, Adam Koprowski, Dan Synek, Eelis v...