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ENTCS
2006
113views more  ENTCS 2006»
13 years 7 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
ICFP
2006
ACM
14 years 7 months ago
Modular development of certified program verifiers with a proof assistant
I report on an experience using the Coq proof assistant to develop a program verification tool with a machine-checkable proof of full correctness. The verifier is able to prove me...
Adam J. Chlipala
ENTCS
2007
86views more  ENTCS 2007»
13 years 7 months ago
Tool Support for Proof Engineering
Modern integrated development environments (IDEs) provide programmers with a variety of sophisticated tools for program visualization and manipulation. These tools assist the prog...
Anne Mulhern, Charles Fischer, Ben Liblit
ITP
2010
118views Mathematics» more  ITP 2010»
13 years 11 months ago
Formal Proof of a Wave Equation Resolution Scheme: The Method Error
Abstract. Popular finite difference numerical schemes for the resolution of the one-dimensional acoustic wave equation are well-known to be convergent. We present a comprehensive...
Sylvie Boldo, François Clément, Jean...
SAC
2010
ACM
13 years 2 months ago
Similar triangles and orientation in plane elementary geometry for Coq-based proofs
In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
Tuan Minh Pham