Alternating Tree Automata and Parity Games

  • Daniel Kirsten
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2500)


Since Büchi’s work in 1960 [17], automata play an important role in logic. Numerous different notions of automata provide decision and complexity results in various kinds of logic. Often, one develops a method to translate some given formula ϕ into an appropriate finite automaton A such that L(ϕ) = L(A). Such a translation reduces the model checking problem and the satisfiability problem in some logic to the word problem and the emptiness problem for finite automata. Moreover, such a translation provides algorithms to solve the model checking and the satisfiability problems on a computer. Consequently, one is interested in the decidability and the complexity of the word and emptiness problems of automata.


Model Check Transition System Word Problem Initial Location Parse Tree 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Daniel Kirsten
    • 1
  1. 1.Institut für AlgebraTechnische Universität DresdenGermany

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