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» A Mechanized Translation from Higher-Order Logic to Set Theo...
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ICFP
2005
ACM
15 years 9 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
ITP
2010
137views Mathematics» more  ITP 2010»
15 years 1 months ago
Importing HOL Light into Coq
Abstract. We present a new scheme to translate mathematical developments from HOL Light to Coq, where they can be re-used and rechecked. By relying on a carefully chosen embedding ...
Chantal Keller, Benjamin Werner
LICS
1999
IEEE
15 years 2 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
CADE
2006
Springer
15 years 10 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
ICFP
2003
ACM
15 years 9 months ago
Mechanising Hankin and Barendregt using the Gordon-Melham axioms
I describe the mechanisation in HOL of some basic -calculus theory, using the axioms proposed by Gordon and Melham [4]. Using these as a foundation, I mechanised the proofs from C...
Michael Norrish