{"title":"Set semantics for asynchronous TeamLTL: Expressivity and complexity","authors":"Juha Kontinen , Max Sandström , Jonni Virtema","doi":"10.1016/j.ic.2025.105299","DOIUrl":null,"url":null,"abstract":"<div><div>We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We relate the new semantics with the original semantics based on multisets and establish one of the first positive complexity theoretic results in the temporal team semantics setting. In particular we show that both logics enjoy normal forms that can be utilised to obtain results related to expressivity and complexity (decidability) of the new logics.</div></div>","PeriodicalId":54985,"journal":{"name":"Information and Computation","volume":"304 ","pages":"Article 105299"},"PeriodicalIF":0.8000,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information and Computation","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0890540125000355","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We relate the new semantics with the original semantics based on multisets and establish one of the first positive complexity theoretic results in the temporal team semantics setting. In particular we show that both logics enjoy normal forms that can be utilised to obtain results related to expressivity and complexity (decidability) of the new logics.
期刊介绍:
Information and Computation welcomes original papers in all areas of theoretical computer science and computational applications of information theory. Survey articles of exceptional quality will also be considered. Particularly welcome are papers contributing new results in active theoretical areas such as
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Decision problems in logic-
Design and analysis of algorithms-
Discrete optimization and mathematical programming-
Inductive inference and learning theory-
Logic & constraint programming-
Program verification & model checking-
Probabilistic & Quantum computation-
Semantics of programming languages-
Symbolic computation, lambda calculus, and rewriting systems-
Types and typechecking