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arXiv · 1809.04456

Dynamic logic assigned to automata

Ivan Chajda·Jan Paseka
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Abstract

A dynamic logic ${\mathbf B}$ can be assigned to every automaton ${\mathcal A}$ without regard if ${\mathcal A}$ is deterministic or nondeterministic. This logic enables us to formulate observations on ${\mathcal A}$ in the form of composed propositions and, due to a transition functor $T$, it captures the dynamic behaviour of ${\mathcal A}$. There are formulated conditions under which the automaton ${\mathcal A}$ can be recovered by means of ${\mathbf B}$ and $T$.

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Ivan Chajda, Jan Paseka. 2018-09-11. Dynamic logic assigned to automata. https://doi.org/10.1007/s10773-017-3311-0

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