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ICML
1989
IEEE
15 years 2 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
ECAI
2010
Springer
14 years 10 months ago
Higher-Order Coalition Logic
We introduce and study higher-order coalition logic, a multi modal monadic second-order logic with operators [{x}] expressing that the coalition of all agents satisfying (x) can ac...
Guido Boella, Dov M. Gabbay, Valerio Genovese, Lee...
87
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BIRTHDAY
2010
Springer
14 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
POPL
2010
ACM
15 years 7 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...
CADE
2003
Springer
15 years 10 months ago
Optimizing Higher-Order Pattern Unification
Abstract. We present an abstract view of existential variables in a dependently typed lambda-calculus based on modal type theory. This allows us to justify optimizations to pattern...
Brigitte Pientka, Frank Pfenning