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» Higher-Order Modal Logic - A Sketch
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CADE
2003
Springer
14 years 5 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
MFCS
2005
Springer
13 years 10 months ago
The Complexity of Model Checking Higher Order Fixpoint Logic
This paper analyses the computational complexity of the model checking problem for Higher Order Fixpoint Logic – the modal µ-calculus enriched with a typed λ-calculus. It is ha...
Martin Lange, Rafal Somla
ECAI
2010
Springer
13 years 4 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...
LMCS
2007
132views more  LMCS 2007»
13 years 4 months ago
The Complexity of Model Checking Higher-Order Fixpoint Logic
Higher-Order Fixpoint Logic (HFL) is a hybrid of the simply typed λ-calculus and the modal µ-calculus. This makes it a highly expressive temporal logic that is capable of express...
Roland Axelsson, Martin Lange, Rafal Somla
FSTTCS
2004
Springer
13 years 10 months ago
Symbolic Reachability Analysis of Higher-Order Context-Free Processes
We consider the problem of symbolic reachability analysis of higher-order context-free processes. These models are generalizations of the context-free processes (also called BPA pr...
Ahmed Bouajjani, Antoine Meyer