{"title":"Testing membership for timed automata","authors":"Richard Lassaigne, Michel de Rougemont","doi":"10.1007/s00236-023-00442-8","DOIUrl":null,"url":null,"abstract":"<div><p>Given a timed automaton which admits thick components and a timed word <i>w</i>, we present a tester which decides if <i>w</i> is in the language of the automaton or if <i>w</i> is <span>\\(\\epsilon \\)</span>-far from the language, using finitely many samples taken from the weighted time distribution <span>\\(\\mu \\)</span> associated with the input <i>w</i>. We introduce a distance between timed words, the <i>timed edit distance</i>, which generalizes the classical edit distance. A timed word <i>w</i> is <span>\\(\\epsilon \\)</span>-far from a timed language if its relative distance to the language is greater than <span>\\(\\epsilon \\)</span>.</p></div>","PeriodicalId":7189,"journal":{"name":"Acta Informatica","volume":"60 4","pages":"361 - 384"},"PeriodicalIF":0.4000,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Informatica","FirstCategoryId":"94","ListUrlMain":"https://link.springer.com/article/10.1007/s00236-023-00442-8","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Given a timed automaton which admits thick components and a timed word w, we present a tester which decides if w is in the language of the automaton or if w is \(\epsilon \)-far from the language, using finitely many samples taken from the weighted time distribution \(\mu \) associated with the input w. We introduce a distance between timed words, the timed edit distance, which generalizes the classical edit distance. A timed word w is \(\epsilon \)-far from a timed language if its relative distance to the language is greater than \(\epsilon \).
期刊介绍：
Acta Informatica provides international dissemination of articles on formal methods for the design and analysis of programs, computing systems and information structures, as well as related fields of Theoretical Computer Science such as Automata Theory, Logic in Computer Science, and Algorithmics.
Topics of interest include:
• semantics of programming languages
• models and modeling languages for concurrent, distributed, reactive and mobile systems
• models and modeling languages for timed, hybrid and probabilistic systems
• specification, program analysis and verification
• model checking and theorem proving
• modal, temporal, first- and higher-order logics, and their variants
• constraint logic, SAT/SMT-solving techniques
• theoretical aspects of databases, semi-structured data and finite model theory
• theoretical aspects of artificial intelligence, knowledge representation, description logic
• automata theory, formal languages, term and graph rewriting
• game-based models, synthesis
• type theory, typed calculi
• algebraic, coalgebraic and categorical methods
• formal aspects of performance, dependability and reliability analysis
• foundations of information and network security
• parallel, distributed and randomized algorithms
• design and analysis of algorithms
• foundations of network and communication protocols.
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