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» Realizability interpretation of proofs in constructive analy...
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MST
2008
101views more  MST 2008»
13 years 8 months ago
Realizability interpretation of proofs in constructive analysis
We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
Helmut Schwichtenberg
AML
2004
66views more  AML 2004»
13 years 8 months ago
A realizability interpretation for classical analysis
We present a realizability interpretation for classical analysis
Henry Towsner
MLQ
2010
99views more  MLQ 2010»
13 years 7 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
LICS
2003
IEEE
14 years 1 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
CIE
2007
Springer
14 years 2 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone