@inproceedings{67b9a4dfee2a41c08ed56b46935fab7e,

title = "An automata-theoretic approach to infinite-state systems",

abstract = "In this paper we develop an automata-theoretic framework for reasoning about infinite-state sequential systems. Our framework is based on the observation that states of such systems, which carry a finite but unbounded amount of information, can be viewed as nodes in an infinite tree, and transitions between states can be simulated by finite-state automata. Checking that a system satisfies a temporal property can then be done by an alternating two-way tree automaton that navigates through the tree. We show how this framework can be used to solve the model-checking problem for μ-calculus and LTL specifications with respect to pushdown and prefix-recognizable systems. In order to handle model checking of linear-time specifications, we introduce and study path automata on trees. The input to a path automaton is a tree, but the automaton cannot split to copies and it can read only a single path of the tree. As has been the case with finite-state systems, the automata-theoretic framework is quite versatile. We demonstrate it by solving the realizability and synthesis problems for μ-calculus specifications with respect to prefix-recognizable environments, and extending our framework to handle systems with regular labeling regular fairness constraints and μ-calculus with backward modalities.",

author = "Orna Kupferman and Nir Piterman and Vardi, {Moshe Y.}",

year = "2010",

doi = "10.1007/978-3-642-13754-9_11",

language = "American English",

isbn = "3642137539",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "202--259",

editor = "Zohar Manna and Peled, {Doron A.}",

booktitle = "Time for Verification - Essays in Memory of Amir Pnueli",

}