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» A Paraconsistent Higher Order Logic
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TPHOL
1995
IEEE
13 years 11 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
POPL
2010
ACM
14 years 5 months ago
A Relational Modal Logic for Higher-Order Stateful ADTs
The method of logical relations is a classic technique for proving the equivalence of higher-order programs that implement the same observable behavior but employ different intern...
Derek Dreyer, Georg Neis, Andreas Rossberg, Lars B...
CORR
2010
Springer
105views Education» more  CORR 2010»
13 years 7 months ago
Nominal Unification from a Higher-Order Perspective
Abstract. Nominal Logic is an extension of first-order logic with equality, name-binding, name-swapping, and freshness of names. Contrarily to higher-order logic, bound variables a...
Jordi Levy, Mateu Villaret
JAR
2008
77views more  JAR 2008»
13 years 7 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
ICML
1989
IEEE
13 years 11 months ago
Higher-Order and Modal Logic as a Framework for Explanation-Based Generalization
Logic programming provides a uniform framework in which all aspects of explanation-based generalization and learning may be defined and carried out, but first-order Horn logic i...
Scott Dietzen, Frank Pfenning