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» Program Extraction from Normalization Proofs
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TLCA
1993
Springer
14 years 3 months ago
Program Extraction from Normalization Proofs
This paper describes formalizations of Tait’s normalization proof for the simply typed λ-calculus in the proof assistants Minlog, Coq and Isabelle/HOL. From the formal proofs p...
Ulrich Berger
ENTCS
2006
171views more  ENTCS 2006»
13 years 11 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...
TYPES
2004
Springer
14 years 4 months ago
Extracting a Normalization Algorithm in Isabelle/HOL
We present a formalization of a constructive proof of weak normalization for the simply-typed λ-calculus in the theorem prover Isabelle/HOL, and show how a program can be extracte...
Stefan Berghofer
CADE
2006
Springer
14 years 11 months ago
Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics
Church's Higher Order Logic is a basis for proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We ...
Robert L. Constable, Wojciech Moczydlowski
ENTCS
2002
129views more  ENTCS 2002»
13 years 10 months ago
Eliminating Proofs from Programs
This paper presents a step in the development of an operational approach to program extraction in type theory. In order to get a program from a lambda term, the logical parts need...
Femke van Raamsdonk, Paula Severi