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» Formalizing Desargues' theorem in Coq using ranks
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POPL
2008
ACM
14 years 8 months ago
Engineering formal metatheory
Machine-checked proofs of properties of programming languages have become a critical need, both for increased confidence in large and complex designs and as a foundation for techn...
Arthur Charguéraud, Benjamin C. Pierce, Bri...
TPHOL
2008
IEEE
14 years 2 months ago
Canonical Big Operators
In this paper, we present an approach to describe uniformly iterated “big” operations, like Pn i=0 f(i) or maxi∈I f(i) and to provide lemmas that encapsulate all the commonly...
Yves Bertot, Georges Gonthier, Sidi Ould Biha, Ioa...
CADE
2005
Springer
14 years 8 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
TPHOL
2005
IEEE
14 years 2 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
ICFP
2009
ACM
14 years 9 months ago
Effective interactive proofs for higher-order imperative programs
We present a new approach for constructing and verifying higherorder, imperative programs using the Coq proof assistant. We build on the past work on the Ynot system, which is bas...
Adam J. Chlipala, J. Gregory Malecha, Greg Morrise...