Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Friday, November 14, 2014, 12:15 pm

**Duration**: 30 minutes

**Location**: CAB G11

**Speaker**: Matthias Mnich (Universität Bonn)

Solving parity games is an important algorithmic task to problems in automated verification and controller synthesis. The model-checking problem for the modal $\mu$-calculus is known to be equivalent to parity game solving, and problems like validity or satisfiability for modal logics can be reduced to parity game solving. It is a major open problem whether a polynomial-time algorithm for solving parity games exists. To date, the fastest known algorithm runs in time $(n+m)^{O(\sqrt{n + m})}$, where $n$ denotes the number of nodes in the parity game controlled by the even player and $m$ denotes the number of nodes controlled by the odd player. This algorithm is due to Jurdziński, Paterson and Zwick (SODA 2006, SICOMP 2008). We give a faster algorithm for solving parity games, in time $(n+m)^{O(\sqrt{\min(m,n)})}$.

Joint work with H. Röglin and C. Rösner.

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login