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arXiv · 1507.02890

Logic and Branching Automata

Bedon Nicolas
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Abstract

In this paper we study the logical aspects of branching automata, as defined by Lodaya and Weil. We first prove that the class of languages of finite N-free posets recognized by branching automata is closed under complementation. Then we define a logic, named P-MSO as it is a extension of monadic second-order logic with Presburger arithmetic, and show that it is precisely as expressive as branching automata. As a consequence of the effectiveness of the construction of one formalism from the other, the P-MSO theory of the class of all finite N-free posets is decidable.

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Bedon Nicolas. 2015-07-10. Logic and Branching Automata. https://doi.org/10.2168/lmcs-11(4%3A2)2015

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