Complementation by Construction
نویسندگان
چکیده
منابع مشابه
The Büchi Complementation Saga
The complementation problem for nondeterministic word automata has numerous applications in formal verification. In particular, the language-containment problem, to which many verification problems are reduced, involves complementation. For automata on finite words, which correspond to safety properties, complementation involves determinization. The 2 blow-up that is caused by the subset constr...
متن کاملBüchi Complementation Made Tighter
The complementation problem for nondeterministic word automata has numerous applications in formal verification. In particular, the language-containment problem, to which many verification problems is reduced, involves complementation. For automata on finite words, which correspond to safety properties, complementation involves determinization. The 2 blow-up that is caused by the subset constru...
متن کاملBüchi Complementation: A Forty-Year Saga
The complementation problem for nondeterministic word automata has numerous applications in formal verification. In order to check that the language of an automaton A1 is contained in the language of a second automaton A2, one checks that the intersection of A1 with an automaton that complements A2 is empty. Many problems in verification and design are reduced to language containment. In model ...
متن کاملState of Büchi Complementation (Full Version)
Büchi complementation has been studied for five decades since the formalism was introduced in 1960. Known complementation constructions can be classified into Ramsey-based, determinization-based, rank-based, and slice-based approaches. For the performance of these approaches, there have been several complexity analyses but very few experimental results. What especially lacks is a comparative ex...
متن کاملBüchi Complementation Made Tight
The precise complexity of complementing Büchi automata is an intriguing and long standing problem. While optimal complementation techniques for finite automata are simple – it suffices to determinize them using a simple subset construction and to dualize the acceptance condition of the resulting automaton – Büchi complementation is more involved. Indeed, the construction of an EXPTIME complemen...
متن کاملFrom Complementation to Certification
In the automata-theoretic approach to model checking we check the emptiness of the product of a system with an automaton for the complemented specification. This gives rise to two automata-theoretic problems: complementation of word automata, which is used in order to generate , and the emptiness problem, to which model checking is reduced. Both problems have numerous other applications, and ha...
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تاریخ انتشار 2008