Timed tree automata with an application to temporal logic

被引:0
作者
Salvatore La Torre
Margherita Napoli
机构
[1] University of Pennsylvania,
[2] Department of Computer and Information Science,undefined
[3] Philadelphia,undefined
[4] PA 19104,undefined
[5] USA,undefined
[6] Università degli Studi di Salerno,undefined
[7] Dipartimento di Informatica ed Applicazioni,undefined
[8] 84081 Baronissi,undefined
[9] Italy (e-mail: {sallat,undefined
[10] napoli}@unisa.it),undefined
来源
Acta Informatica | 2001年 / 38卷
关键词
Timing Constraint; Decision Problem; Temporal Logic; Main Motivation; Finite Automaton;
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摘要
Finite automata on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-sequences and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-trees were introduced in the sixties by Büchi, McNaughton and Rabin. Finite automata on timed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-sequences were introduced by Alur and Dill. In this paper we extend the theory of timed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-sequences to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-trees. The main motivation is the introduction of a new way to specify real-time systems and to study, using automata-theoretic techniques, branching-time temporal logics with timing constraints. We study closure properties and decision problems for the obtained classes of timed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-tree languages. In particular, we show the decidability of the emptiness problem. As an application of the introduced theory, we give a new decidable branching time temporal logic (STCTL) whose semantics is based upon timed \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\omega$\end{document}-trees.
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页码:89 / 116
页数:27
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