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标题：Synthesis from Weighted Specifications with Partial Domains over Finite Words
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作者：Emmanuel Filiot ; Löding, Christof ; Sarah Winter 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2020
卷号：182
页码：1-16
DOI：10.4230/LIPIcs.FSTTCS.2020.46
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：In this paper, we investigate the synthesis problem of terminating reactive systems from quantitative specifications. Such systems are modeled as finite transducers whose executions are represented as finite words in (I Ã- O)^*, where I, O are finite sets of input and output symbols, respectively. A weighted specification S assigns a rational value (or -â^Z) to words in (I Ã- O)^*, and we consider three kinds of objectives for synthesis, namely threshold objectives where the systemâs executions are required to be above some given threshold, best-value and approximate objectives where the system is required to perform as best as it can by providing output symbols that yield the best value and Îµ-best value respectively w.r.t. S. We establish a landscape of decidability results for these three objectives and weighted specifications with partial domain over finite words given by deterministic weighted automata equipped with sum, discounted-sum and average measures. The resulting objectives are not regular in general and we develop an infinite game framework to solve the corresponding synthesis problems, namely the class of (weighted) critical prefix games.
关键词：synthesis; weighted games; weighted automata on finite words