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» Proof Terms for Simply Typed Higher Order Logic
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TPHOL
2007
IEEE
13 years 11 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
CADE
2005
Springer
14 years 5 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
AGP
2010
IEEE
13 years 10 months ago
Proof-Theoretic and Higher-Order Extensions of Logic Programming
We review the Italian contribution to proof-theoretic and higher-order extensions of logic programming; this originated from the realization that Horn clauses lacked standard abstr...
Alberto Momigliano, Mario Ornaghi
EUROCAST
2001
Springer
127views Hardware» more  EUROCAST 2001»
13 years 9 months ago
Higher-Order Lazy Narrowing Calculus: A Solver for Higher-Order Equations
Abstract. This paper introduces a higher-order lazy narrowing calculus (HOLN for short) that solves higher-order equations over the domain of simply typed λ-terms. HOLN is an exte...
Tetsuo Ida, Mircea Marin, Taro Suzuki
LICS
1999
IEEE
13 years 9 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