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ENTCS
2006
171views more  ENTCS 2006»
13 years 4 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...
CADE
2006
Springer
14 years 5 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
LICS
2007
IEEE
13 years 11 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski