Titlebook: Structures in Logic and Computer Science; A Selection of Essay Jan Mycielski,Grzegorz Rozenberg,Arto Salomaa Book 1997 Springer-Verlag Berl

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Associative shuffle of infinite words,.. We prove an interconnection between associative closure of shuffle on ω-trajectories and periodicity of ω-words. This provides a characterization of the ultimately periodic ω-words. Finally, a remarkable property of the Fibonacci ω-word is exhibited.

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https://doi.org/10.1007/3-540-63246-8Computer; Discrete Mathematics; Equivalence; Formal Languages; Logical Structures; Mathematical Logic; The

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Structures in Logic and Computer Science978-3-540-69242-3Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Syntax vs. semantics on finite structures,attention to finite models. In such a case, one may attempt to find a new semantical characterization of the old syntactical property or a new syntactical characterization of the old semantical property. The goal of this paper is to provoke such a study.

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Some strange quantifiers,to give a new (and with any luck, more manageable) description of this Tarski-style semantics. Finally we apply the new description to present a compositional and fully abstract semantics for the slightly more limited syntax of Hintikka and Sandu, answering a question of Sandu.

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