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We introduce multi-valued Büchi and Muller automata over distributive lattices and a multi-valued MSO logic for infinite words. For this logic, we prove the expressive equivalence of w-recognizable and MSO-definable infinitary formal power series over distributive lattices with negation function. Then we consider multi-valued Muller tree automata and a multi-valued MSO logic for trees over distributive lattices. For this logic, we establish a version of Rabin's theorem for infinitary tree series.
Wydawca
Czasopismo
Rocznik
Tom
Strony
305--327
Opis fizyczny
bibliogr. 54 poz.
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autor
autor
autor
- Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece, grahonis@math.auth.gr
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0015-0076