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» Program Extraction from Classical Proofs
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APAL
2005
107views more  APAL 2005»
13 years 7 months ago
Uniform Heyting arithmetic
We present an extension of Heyting Arithmetic in finite types called Uniform Heyting Arithmetic (HAu) that allows for the extraction of optimized programs from constructive and cla...
Ulrich Berger
CORR
2011
Springer
137views Education» more  CORR 2011»
13 years 2 months ago
Existential witness extraction in classical realizability and via a negative translation
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
Alexandre Miquel
CSL
2007
Springer
14 years 1 months ago
Classical Program Extraction in the Calculus of Constructions
We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with...
Alexandre Miquel
ENTCS
2006
171views more  ENTCS 2006»
13 years 7 months ago
Program Extraction From Proofs of Weak Head Normalization
We formalize two proofs of weak head normalization for the simply typed lambdacalculus in first-order minimal logic: one for normal-order reduction, and one for applicative-order ...
Malgorzata Biernacka, Olivier Danvy, Kristian St&o...
EUROCAST
2005
Springer
97views Hardware» more  EUROCAST 2005»
14 years 1 months ago
Extracting Computer Algebra Programs from Statements
In this paper, an approach to synthesize correct programs from specifications is presented. The idea is to extract code from definitions appearing in statements which have been me...
Jesús Aransay, Clemens Ballarin, Julio Rubi...