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ITP
2010
165views Mathematics» more  ITP 2010»
15 years 1 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
TPHOL
1995
IEEE
15 years 1 months ago
HOLCF: Higher Order Logic of Computable Functions
This paper presents a survey of HOLCF, a higher order logic of computable functions. The logic HOLCF is based on HOLC, a variant of the well known higher order logic HOL, which o e...
Franz Regensburger
111
Voted
FLOPS
2010
Springer
15 years 4 months ago
Code Generation via Higher-Order Rewrite Systems
Abstract. We present the meta-theory behind the code generation facilities of Isabelle/HOL. To bridge the gap between the source (higherorder logic with type classes) and the many ...
Florian Haftmann, Tobias Nipkow
96
Voted
TLCA
2007
Springer
15 years 3 months ago
Higher-Order Logic Programming Languages with Constraints: A Semantics
A Kripke Semantics is defined for a higher-order logic programming language with constraints, based on Church’s Theory of Types and a generic constraint formalism. Our syntactic...
James Lipton, Susana Nieva
TPHOL
1997
IEEE
15 years 1 months ago
Higher Order Quotients and their Implementation in Isabelle HOL
This paper describes the concept of higher order quotients and an implementation in Isabelle. Higher order quotients are a generalization of quotients. They use partial equivalence...
Oscar Slotosch