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New applications of the wreath product of forest algebras. (English) Zbl 1315.03065

Summary: We give several new applications of the wreath product of forest algebras to the study of logics on trees. These include new simplified proofs of necessary conditions for definability in CTL and first-order logic with the ancestor relation; a sequence of identities satisfied by all forest languages definable in PDL; and new examples of languages outside CTL, along with an application to the question of what properties are definable in both CTL and LTL.

MSC:

03D05 Automata and formal grammars in connection with logical questions
03B44 Temporal logic
68Q70 Algebraic theory of languages and automata
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