@article(DBLP:journals/mp/AvisF17, author = {David Avis and Oliver Friedmann}, year = {2017}, title = {An exponential lower bound for Cunningham's rule}, journal = {Math. Program.}, volume = {161}, number = {1-2}, pages = {271--305}, doi = {10.1007/s10107-016-1008-4}, ) @inproceedings(DBLP:journals/corr/BenerecettiDM16, author = {Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero}, year = {2016}, title = {{A Delayed Promotion Policy for Parity Games}}, booktitle = {{GandALF} 2016}, series = {{EPTCS}}, volume = {226}, pages = {30--45}, doi = {10.4204/EPTCS.226.3}, ) @inproceedings(DBLP:conf/hvc/BenerecettiDM16, author = {Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero}, year = {2016}, title = {{Improving Priority Promotion for Parity Games}}, booktitle = {{HVC} 2016}, series = {LNCS}, volume = {10028}, pages = {117--133}, doi = {10.1007/978-3-319-49052-6\_8}, ) @inproceedings(DBLP:conf/cav/BenerecettiDM16, author = {Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero}, year = {2016}, title = {{Solving Parity Games via Priority Promotion}}, booktitle = {{CAV} 2016}, series = {LNCS}, volume = {9780}, publisher = {Springer}, pages = {270--290}, doi = {10.1007/978-3-319-41540-6\_15}, ) @inproceedings(DBLP:conf/gandalf/BenerecettiDM17, author = {Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero}, year = {2017}, title = {Robust Exponential Worst Cases for Divide-et-Impera Algorithms for Parity Games}, booktitle = {{GandALF}}, series = {{EPTCS}}, volume = {256}, pages = {121--135}, doi = {10.4204/EPTCS.256.9}, ) @article(DBLP:journals/fmsd/BenerecettiDM18, author = {Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero}, year = {2018}, title = {Solving parity games via priority promotion}, journal = {Formal Methods in System Design}, volume = {52}, number = {2}, pages = {193--226}, doi = {10.1007/s10703-018-0315-1}, ) @inproceedings(DBLP:journals/corr/BruseFL14, author = {Florian Bruse and Michael Falk and Martin Lange}, year = {2014}, title = {The Fixpoint-Iteration Algorithm for Parity Games}, booktitle = {GandALF}, series = {{EPTCS}}, volume = {161}, pages = {116--130}, doi = {10.4204/EPTCS.161.12}, ) @inproceedings(DBLP:conf/stoc/CaludeJKL017, author = {Cristian~S. Calude and Sanjay Jain and Bakhadyr Khoussainov and Wei Li and Frank Stephan}, year = {2017}, title = {Deciding parity games in quasipolynomial time}, booktitle = {{STOC}}, publisher = {{ACM}}, pages = {252--263}, doi = {10.1145/3055399.3055409}, ) @inproceedings(DBLP:conf/cav/Dijk18, author = {Tom van Dijk}, year = {2018}, title = {Attracting Tangles to Solve Parity Games}, booktitle = {{CAV} {(2)}}, series = {LNCS}, volume = {10982}, publisher = {Springer}, pages = {198--215}, doi = {10.1007/978-3-319-96142-2\_14}, ) @inproceedings(DBLP:conf/tacas/Dijk18, author = {Tom van Dijk}, year = {2018}, title = {Oink: An Implementation and Evaluation of Modern Parity Game Solvers}, booktitle = {{TACAS} {(1)}}, series = {LNCS}, volume = {10805}, publisher = {Springer}, pages = {291--308}, doi = {10.1007/978-3-319-89960-2\_16}, ) @article(fpi, author = {Tom van Dijk and Bob Rubbens}, year = {2019}, title = {Simple Fixpoint Iteration to Solve Parity Games}, note = {Accepted at GandALF 2019}, ) @inproceedings(DBLP:conf/focs/EmersonJ91, author = {E.~Allen Emerson and Charanjit~S. Jutla}, year = {1991}, title = {Tree Automata, Mu-Calculus and Determinacy (Extended Abstract)}, booktitle = {{FOCS}}, publisher = {{IEEE} Computer Society}, pages = {368--377}, doi = {10.1109/SFCS.1991.185392}, ) @article(DBLP:journals/tcs/EmersonJS01, author = {E.~Allen Emerson and Charanjit~S. Jutla and A.~Prasad Sistla}, year = {2001}, title = {On model checking for the mu-calculus and its fragments}, journal = {Theor. Comput. Sci.}, volume = {258}, number = {1-2}, pages = {491--522}, doi = {10.1016/S0304-3975(00)00034-7}, ) @inproceedings(DBLP:conf/lpar/Fearnley10, author = {John Fearnley}, year = {2010}, title = {Non-oblivious Strategy Improvement}, booktitle = {{LPAR} (Dakar)}, series = {LNCS}, volume = {6355}, publisher = {Springer}, pages = {212--230}, doi = {10.1007/978-3-642-17511-4\_13}, ) @inproceedings(DBLP:conf/cav/Fearnley17, author = {John Fearnley}, year = {2017}, title = {Efficient Parallel Strategy Improvement for Parity Games}, booktitle = {{CAV} {(2)}}, series = {LNCS}, volume = {10427}, publisher = {Springer}, pages = {137--154}, doi = {10.1007/978-3-319-63390-9\_8}, ) @article(DBLP:journals/sttt/FearnleyJKSSW19, author = {John Fearnley and Sanjay Jain and Bart de~Keijzer and Sven Schewe and Frank Stephan and Dominik Wojtczak}, year = {2019}, title = {An ordered approach to solving parity games in quasi-polynomial time and quasi-linear space}, journal = {{STTT}}, volume = {21}, number = {3}, pages = {325--349}, doi = {10.1007/s10009-019-00509-3}, ) @inproceedings(DBLP:conf/soda/FearnleyS16, author = {John Fearnley and Rahul Savani}, year = {2016}, title = {The Complexity of All-switches Strategy Improvement}, booktitle = {{SODA}}, publisher = {{SIAM}}, pages = {130--139}, doi = {10.1137/1.9781611974331.ch10}, ) @inproceedings(DBLP:conf/lics/Friedmann09, author = {Oliver Friedmann}, year = {2009}, title = {An Exponential Lower Bound for the Parity Game Strategy Improvement Algorithm as We Know it}, booktitle = {{LICS}}, publisher = {{IEEE} Computer Society}, pages = {145--156}, doi = {10.1109/LICS.2009.27}, ) @article(DBLP:journals/lmcs/Friedmann11, author = {Oliver Friedmann}, year = {2011}, title = {An Exponential Lower Bound for the Latest Deterministic Strategy Iteration Algorithms}, journal = {Logical Methods in Computer Science}, volume = {7}, number = {3}, doi = {10.2168/LMCS-7(3:23)2011}, ) @article(DBLP:journals/ita/Friedmann11, author = {Oliver Friedmann}, year = {2011}, title = {Recursive algorithm for parity games requires exponential time}, journal = {{RAIRO} - Theor. Inf. and Applic.}, volume = {45}, number = {4}, pages = {449--457}, doi = {10.1051/ita/2011124}, ) @inproceedings(DBLP:conf/ipco/Friedmann11, author = {Oliver Friedmann}, year = {2011}, title = {A Subexponential Lower Bound for Zadeh's Pivoting Rule for Solving Linear Programs and Games}, booktitle = {{IPCO}}, series = {Lecture Notes in Computer Science}, volume = {6655}, publisher = {Springer}, pages = {192--206}, doi = {10.1007/978-3-642-20807-2\_16}, ) @inproceedings(Friedmann2012, author = {Oliver Friedmann}, year = {2012}, title = {A subexponential lower bound for the Least Recently Considered rule for solving linear programs and games}, booktitle = {{GAMES}}, ) @article(DBLP:journals/dam/Friedmann13, author = {Oliver Friedmann}, year = {2013}, title = {A superpolynomial lower bound for strategy iteration based on snare memorization}, journal = {Discrete Applied Mathematics}, volume = {161}, number = {10-11}, pages = {1317--1337}, doi = {10.1016/j.dam.2013.02.007}, ) @inproceedings(DBLP:conf/soda/FriedmannHZ11, author = {Oliver Friedmann and Thomas~Dueholm Hansen and Uri Zwick}, year = {2011}, title = {A subexponential lower bound for the Random Facet algorithm for Parity Games}, booktitle = {{SODA}}, publisher = {{SIAM}}, pages = {202--216}, doi = {10.1137/1.9781611973082.19}, ) @inproceedings(DBLP:conf/atva/FriedmannL09, author = {Oliver Friedmann and Martin Lange}, year = {2009}, title = {Solving Parity Games in Practice}, booktitle = {{ATVA}}, series = {{LNCS}}, volume = {5799}, publisher = {Springer}, pages = {182--196}, doi = {10.1007/978-3-642-04761-9\_15}, ) @inproceedings(DBLP:journals/corr/GazdaW13, author = {Maciej Gazda and Tim A.~C. Willemse}, year = {2013}, title = {Zielonka's Recursive Algorithm: dull, weak and solitaire games and tighter bounds}, booktitle = {GandALF}, series = {{EPTCS}}, volume = {119}, pages = {7--20}, doi = {10.4204/EPTCS.119.4}, ) @proceedings(DBLP:conf/dagstuhl/2001automata, editor = {Erich Gr{\"{a}}del and Wolfgang Thomas and Thomas Wilke}, year = {2002}, title = {Automata, Logics, and Infinite Games: {A} Guide to Current Research}, series = {LNCS}, volume = {2500}, publisher = {Springer}, doi = {10.1007/3-540-36387-4}, ) @article(DBLP:journals/ipl/Jurdzinski98, author = {Marcin Jurdzinski}, year = {1998}, title = {Deciding the Winner in Parity Games is in {UP} $\cap$ co-{UP}}, journal = {Inf. Process. Lett.}, volume = {68}, number = {3}, pages = {119--124}, doi = {10.1016/S0020-0190(98)00150-1}, ) @inproceedings(DBLP:conf/stacs/Jurdzinski00, author = {Marcin Jurdzinski}, year = {2000}, title = {Small Progress Measures for Solving Parity Games}, booktitle = {{STACS}}, series = {LNCS}, volume = {1770}, publisher = {Springer}, pages = {290--301}, doi = {10.1007/3-540-46541-3\_24}, ) @inproceedings(DBLP:conf/lics/JurdzinskiL17, author = {Marcin Jurdzinski and Ranko Lazic}, year = {2017}, title = {Succinct progress measures for solving parity games}, booktitle = {{LICS}}, publisher = {{IEEE} Computer Society}, pages = {1--9}, doi = {10.1109/LICS.2017.8005092}, ) @article(DBLP:journals/tcs/Kozen83, author = {Dexter Kozen}, year = {1983}, title = {Results on the Propositional mu-Calculus}, journal = {Theor. Comput. Sci.}, volume = {27}, pages = {333--354}, doi = {10.1016/0304-3975(82)90125-6}, ) @inproceedings(DBLP:conf/stoc/KupfermanV98, author = {Orna Kupferman and Moshe~Y. Vardi}, year = {1998}, title = {Weak Alternating Automata and Tree Automata Emptiness}, booktitle = {{STOC}}, publisher = {{ACM}}, pages = {224--233}, doi = {10.1145/276698.276748}, ) @article(DBLP:journals/apal/McNaughton93, author = {Robert McNaughton}, year = {1993}, title = {Infinite Games Played on Finite Graphs}, journal = {Ann. Pure Appl. Logic}, volume = {65}, number = {2}, pages = {149--184}, doi = {10.1016/0168-0072(93)90036-D}, ) @inproceedings(DBLP:conf/cav/MeyerSL18, author = {Philipp~J. Meyer and Salomon Sickert and Michael Luttenberger}, year = {2018}, title = {Strix: Explicit Reactive Synthesis Strikes Back!}, booktitle = {{CAV} {(1)}}, series = {Lecture Notes in Computer Science}, volume = {10981}, publisher = {Springer}, pages = {578--586}, doi = {10.1007/978-3-319-96145-3\_31}, ) @article(DBLP:journals/corr/abs-1904-12446, author = {Pawel Parys}, year = {2019}, title = {Parity Games: Zielonka's Algorithm in Quasi-Polynomial Time}, journal = {CoRR}, volume = {abs/1904.12446}, ) @inproceedings(DBLP:conf/wia/StasioMPV16, author = {Antonio~Di Stasio and Aniello Murano and Giuseppe Perelli and Moshe~Y. Vardi}, year = {2016}, title = {Solving Parity Games Using an Automata-Based Algorithm}, booktitle = {{CIAA}}, series = {{LNCS}}, volume = {9705}, publisher = {Springer}, pages = {64--76}, doi = {10.1007/978-3-319-40946-7\_6}, ) @article(DBLP:journals/tcs/Zielonka98, author = {Wieslaw Zielonka}, year = {1998}, title = {Infinite Games on Finitely Coloured Graphs with Applications to Automata on Infinite Trees}, journal = {Theor. Comput. Sci.}, volume = {200}, number = {1-2}, pages = {135--183}, doi = {10.1016/S0304-3975(98)00009-7}, )