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Cost Automata, Safe Schemes, and Downward Closures

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cris.lastimport.scopus2024-02-12T19:02:22Z
dc.abstract.enIn this work we prove decidability of the model-checking problem for safe recursion schemes against properties defined by alternating B-automata. We then exploit this result to show how to compute downward closures of languages of finite trees recognized by safe recursion schemes. Higher-order recursion schemes are an expressive formalism used to define languages of finite and infinite ranked trees by means of fixed points of lambda terms. They extend regular and context-free grammars, and are equivalent in expressive power to the simply typed λY-calculus and collapsible pushdown automata. Safety in a syntactic restriction which limits their expressive power. The class of alternating B-automata is an extension of alternating parity automata over infinite trees; it enhances them with counting features that can be used to describe boundedness properties.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorParys, Paweł
dc.contributor.authorColcombet, Thomas
dc.contributor.authorClemente, Lorenzo
dc.contributor.authorBarozzini, David
dc.date.accessioned2024-01-24T20:53:28Z
dc.date.available2024-01-24T20:53:28Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.description.number3
dc.description.volume188
dc.identifier.doi10.3233/FI-222145
dc.identifier.issn0169-2968
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/103812
dc.identifier.weblinkhttps://doi.org/10.4230/LIPIcs.ICALP.2020.109
dc.languageeng
dc.pbn.affiliationcomputer and information sciences
dc.relation.ispartofFundamenta Informaticae
dc.relation.pages127-178
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enCost logics
dc.subject.encost automata
dc.subject.endownward closures
dc.subject.enhigher-order recursion schemes
dc.subject.ensafe recursion schemes
dc.titleCost Automata, Safe Schemes, and Downward Closures
dc.typeJournalArticle
dspace.entity.typePublication