An initial semantics for the \(\mu\)-calculus on trees and Rabin’s complementation lemma. (English) Zbl 0873.68157

Summary: We show that the function associated with any closed or nonclosed term of the \(\mu\)-calculus on trees can be represented by a recognizable set of trees whose nodes are labeled by letters and by sets of variables. Rabin’s complementation lemma is an immediate consequence of this result.


68R10 Graph theory (including graph drawing) in computer science
68Q45 Formal languages and automata


tree automaton
Full Text: DOI


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