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» Automating Proofs in Category Theory
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LICS
2003
IEEE
15 years 5 months ago
Polynomial-time Algorithms from Ineffective Proofs
We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of Π0 2theorems in feasible analysis. By ineffective proof we mean a proof wh...
Paulo Oliva
SAC
2010
ACM
14 years 6 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
CADE
2006
Springer
16 years 23 hour ago
Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics
Church's Higher Order Logic is a basis for proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We ...
Robert L. Constable, Wojciech Moczydlowski
CORR
2011
Springer
153views Education» more  CORR 2011»
14 years 6 months ago
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a...
Robert Rothenberg
TPHOL
2009
IEEE
15 years 6 months ago
Formalising Observer Theory for Environment-Sensitive Bisimulation
Abstract. We consider a formalisation of a notion of observer (or intruder) theories, commonly used in symbolic analysis of security protocols. An observer theory describes the kno...
Jeremy E. Dawson, Alwen Tiu