Weak Muller Conditions Make Delay Games Hard

Sarah Winter, Martin Zimmermann

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Abstract

We show that solving delay games with winning conditions given by deterministic and non-deterministic weak Muller automata is 2EXPTIME-complete respectively 3EXPTIME-complete. Furthermore, doubly- and triply-exponential lookahead is necessary and sufficient to win such games. These results are the first that show that the succinctness of the automata types used to specify the winning conditions has an influence on the complexity of these problems.

OriginalsprogEngelsk
TitelLecture Notes Series, Institute for Mathematical Sciences
RedaktørerNoam Greenberg, Sanjay Jain, Yue Yang, Frank Stephan, Keng Meng Ng, Guohua Wu, Sven Schewe
Antal sider40
ForlagWorld Scientific Publishing Co.
Publikationsdato2024
Sider425-464
DOI
StatusUdgivet - 2024
NavnLecture Notes Series, Institute for Mathematical Sciences
Vol/bind42
ISSN1793-0758

Bibliografisk note

Publisher Copyright:
© 2024 World Scientific Publishing Company.

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