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» Higher-Order Modal Logic - A Sketch
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FTP
1998
Springer
13 years 9 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
POPL
2010
ACM
14 years 2 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
2007
Springer
125views Education» more  CORR 2007»
13 years 4 months ago
Common knowledge logic in a higher order proof assistant?
This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality...
Pierre Lescanne
ICML
1989
IEEE
13 years 8 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 4 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