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Tight Bounds for Complementing Parity Automata

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Mathematical Foundations of Computer Science 2014 (MFCS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8634))

Abstract

We follow a connection between tight determinisation and complementation and establish a complementation procedure from transition labelled parity automata to transition labelled nondeterministic Büchi automata. We prove it to be tight up to an O(n) factor, where n is the size of the nondeterministic parity automaton. This factor does not depend on the number of priorities.

Extended version with omitted proofs at http://arxiv.org/abs/1406.1090.

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Schewe, S., Varghese, T. (2014). Tight Bounds for Complementing Parity Automata. In: Csuhaj-Varjú, E., Dietzfelbinger, M., Ésik, Z. (eds) Mathematical Foundations of Computer Science 2014. MFCS 2014. Lecture Notes in Computer Science, vol 8634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44522-8_42

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  • DOI: https://doi.org/10.1007/978-3-662-44522-8_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44521-1

  • Online ISBN: 978-3-662-44522-8

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