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LCC
1994
200views Algorithms» more  LCC 1994»
14 years 2 months ago
Program Extraction from Classical Proofs
We demonstrate program extraction by the Light Dialectica Interpretation (LDI) on a minimal logic proof of the classical existence of Fibonacci numbers. This semi-classical proof ...
Ulrich Berger, Helmut Schwichtenberg
LICS
2003
IEEE
14 years 3 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
FAC
2008
107views more  FAC 2008»
13 years 10 months ago
An incremental development of the Mondex system in Event-B
A development of the Mondex system was undertaken using Event-B and its associated proof tools. mental approach was used whereby the refinement between the abstract specification o...
Michael Butler, Divakar Yadav
CSL
2010
Springer
13 years 11 months ago
From Feasible Proofs to Feasible Computations
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...
Jan Krajícek
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 10 months ago
A polytime proof of correctness of the Rabin-Miller algorithm from Fermat's little theorem
Although a deterministic polytime algorithm for primality testing is now known ([4]), the Rabin-Miller randomized test of primality continues being the most efficient and widely u...
Grzegorz Herman, Michael Soltys