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LCC
1994
200views Algorithms» more  LCC 1994»
15 years 7 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
15 years 8 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»
15 years 3 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
15 years 4 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»
15 years 3 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