The Complexity of Games on Higher Order Pushdown Automata

Published 2 May 2007 in cs.GT | (0705.0262v1)

Abstract: We prove an n-EXPTIME lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches the known upper bound for parity games on HPDA. As a consequence the mu-calculus model checking over graphs given by n-HPDA is n-EXPTIME complete.

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