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CORR
2010
Springer
105views Education» more  CORR 2010»
13 years 10 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
14 years 1 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
13 years 10 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
TPHOL
2000
IEEE
14 years 2 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
FTP
1998
Springer
14 years 2 months ago
Higher-Order Modal Logic - A Sketch
Abstract. First-order modal logic, in the usual formulations, is not sufficiently expressive, and as a consequence problems like Frege's morning
Melvin Fitting