Sciweavers

16 search results - page 1 / 4
» Realizability interpretation of proofs in constructive analy...
Sort
View
67
Voted
MST
2008
101views more  MST 2008»
14 years 10 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»
14 years 10 months ago
A realizability interpretation for classical analysis
We present a realizability interpretation for classical analysis
Henry Towsner
MLQ
2010
99views more  MLQ 2010»
14 years 8 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
15 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
CIE
2007
Springer
15 years 4 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