Abstract
Two models of automata over infinite alphabets are presented, mainly with a focus on the alphabet \(\mathbb {N}\). In the first model, transitions can refer to logic formulas that connect properties of successive letters. In the second, the letters are considered as columns of a labeled grid which an automaton traverses column by column. Thus, both models focus on the comparison of successive letters, i.e. “local changes”. We prove closure (and non-closure) properties, show the decidability of the respective non-emptiness problems, prove limits on decidability results for extended models, and discuss open issues in the development of a generalized theory.
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Czyba, C., Spinrath, C., Thomas, W. (2015). Finite Automata Over Infinite Alphabets: Two Models with Transitions for Local Change. In: Potapov, I. (eds) Developments in Language Theory. DLT 2015. Lecture Notes in Computer Science(), vol 9168. Springer, Cham. https://doi.org/10.1007/978-3-319-21500-6_16
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DOI: https://doi.org/10.1007/978-3-319-21500-6_16
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