Logic and Branching Automata

Logic and Branching Automata

The first result presented in this paper is the closure under complementation of the class of languages of finite N-free posets recognized by branching automata. Relying on this, we propose a logic, named Presburger-MSO or P-MSO for short, precisely as expressive as branching automata. The P-MSO theory of the class of all finite N-free posets is decidable.

Branching-Time Temporal Logic and Tree Automata

JJ89] C. Jard and T. Jeron. On-line model-checking for nite linear temporal logic speciications. 6 Conclusions In this paper we showed that tree automata, which have been considered unsuitable for branching-time model checking, provide a neat and optimal framework for branching-time temporal logics and can handle, eeciently, model checking. The crucial point in our method is that when branching...

Branching Pushdown Tree Automata

We observe that pushdown tree automata (PTAs) known in the literature cannot express combinations of branching and pushdown properties. This is because a PTA processes the children of a tree node in possibly different control states but with identical stacks. We propose branching pushdown tree automata (BPTAs) as a solution. In a BPTA, a push-move views its matching pops as an unbounded, unorde...

Automata and Logic

Logic and tree automata

of the Ph.D. thesis