Computing weakest strategies for safety games of imperfect information
W Kuijper, J van de Pol - Tools and Algorithms for the Construction and …, 2009 - Springer
W Kuijper, J van de Pol
Tools and Algorithms for the Construction and Analysis of Systems: 15th …, 2009•SpringerAbstract cedar (Counter Example Driven Antichain Refinement) is a new symbolic algorithm
for computing weakest strategies for safety games of imperfect information. The algorithm
computes a fixed point over the lattice of contravariant antichains. Here contravariant
antichains are antichains over pairs consisting of an information set and an allow set
representing the associated move. We demonstrate how the richer structure of contravariant
antichains for representing antitone functions, as opposed to standard antichains for …
for computing weakest strategies for safety games of imperfect information. The algorithm
computes a fixed point over the lattice of contravariant antichains. Here contravariant
antichains are antichains over pairs consisting of an information set and an allow set
representing the associated move. We demonstrate how the richer structure of contravariant
antichains for representing antitone functions, as opposed to standard antichains for …
Abstract
cedar (Counter Example Driven Antichain Refinement) is a new symbolic algorithm for computing weakest strategies for safety games of imperfect information. The algorithm computes a fixed point over the lattice of contravariant antichains. Here contravariant antichains are antichains over pairs consisting of an information set and an allow set representing the associated move. We demonstrate how the richer structure of contravariant antichains for representing antitone functions, as opposed to standard antichains for representing sets of downward closed sets, allows cedar to apply a significantly less complex controllable predecessor step than previous algorithms.
Springer
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