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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...
TYPES
2004
Springer
14 years 24 days 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
TLCA
1993
Springer
13 years 11 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
CADE
2006
Springer
14 years 7 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
ICTAC
2004
Springer
14 years 25 days ago
A Proof of Weak Termination Providing the Right Way to Terminate
We give an inductive method for proving weak innermost termination of rule-based programs, from which we automatically infer, for each successful proof, a finite strategy for data...
Olivier Fissore, Isabelle Gnaedig, Hél&egra...