Improved Algorithms for Parity and Streett objectives.
LOGICAL METHODS IN COMPUTER SCIENCE(2017)
摘要
The computation of the winning set for parity objectives and for Streett objectives in graphs as well as in game graphs are central problems in computer-aided verification, with application to the verification of closed systems with strong fairness conditions, the verification of open systems, checking interface compatibility, well-formedness of specifications, and the synthesis of reactive systems. We show how to compute the winning set on n vertices for (1) parity-3 (aka one-pair Streett) objectives in game graphs in time O(n(5/2)) and for (2) k-pair Streett objectives in graphs in time O(n(2) + nk log n). For both problems this gives faster algorithms for dense graphs and represents the first improvement in asymptotic running time in 15 years.
更多查看译文
关键词
Computer-aided verification,Synthesis,Graph games,Parity games,Streett automata,Graph algorithms
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要