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» On Higher-Order Description Logics
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TPHOL
1995
IEEE
15 years 2 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
15 years 8 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»
14 years 11 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
ICML
1989
IEEE
15 years 3 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
BIRTHDAY
2010
Springer
14 years 11 months ago
Verifying the Modal Logic Cube Is an Easy Task (For Higher-Order Automated Reasoners)
Prominent logics, including quantified multimodal logics, can be elegantly embedded in simple type theory (classical higher-order logic). Furthermore, off-the-shelf reasoning syste...
Christoph Benzmüller