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TPHOL
2007
IEEE
15 years 3 months ago
HOL2P - A System of Classical Higher Order Logic with Second Order Polymorphism
Abstract. This paper introduces the logical system HOL2P that extends classical higher order logic (HOL) with type operator variables and universal types. HOL2P has explicit term o...
Norbert Völker
LICS
1999
IEEE
15 years 1 months ago
The Higher-Order Recursive Path Ordering
This paper extends the termination proof techniques based on reduction orderings to a higher-order setting, by adapting the recursive path ordering definition to terms of a typed ...
Jean-Pierre Jouannaud, Albert Rubio
JAR
2008
77views more  JAR 2008»
14 years 9 months ago
Translating Higher-Order Clauses to First-Order Clauses
Interactive provers typically use higher-order logic, while automatic provers typically use first-order logic. In order to integrate interactive provers with automatic ones, it is ...
Jia Meng, Lawrence C. Paulson
BIRTHDAY
2004
Springer
15 years 3 months ago
Pure Type Systems in Rewriting Logic: Specifying Typed Higher-Order Languages in a First-Order Logical Framework
Abstract. The logical and operational aspects of rewriting logic as a logical framework are tested and illustrated in detail by representing pure type systems as object logics. Mor...
Mark-Oliver Stehr, José Meseguer