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State of B\"uchi Complementation

Ming-Hsien Tsai ; Seth Fogarty ; Moshe Y. Vardi ; Yih-Kuen Tsay.

Complementation of B\"uchi automata has been studied for over 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. Regarding the performance of these&nbsp;[&hellip;]

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Unifying B\"uchi Complementation Constructions

Seth J. Fogarty ; Orna Kupferman ; Thomas Wilke ; Moshe Y. Vardi.

Complementation of B\"uchi automata, required for checking automata containment, is of major theoretical and practical interest in formal verification. We consider two recent approaches to complementation. The first is the rank-based approach of Kupferman and Vardi, which operates over a DAG that&nbsp;[&hellip;]

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