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Finite Automata Over Infinite Alphabets: Two Models with Transitions for Local Change

  • Christopher Czyba
  • Christopher Spinrath
  • Wolfgang Thomas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9168)

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.

Keywords

Finite Automaton Transition Formula Alphabet Letter Reachability Problem Alphabet Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Christopher Czyba
    • 1
  • Christopher Spinrath
    • 1
  • Wolfgang Thomas
    • 1
  1. 1.RWTH Aachen UniversityAachenGermany

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