Linear-Time Limited Automata

  • Bruno GuillonEmail author
  • Luca Prigioniero
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10952)


The time complexity of 1-limited automata is investigated from a descriptional complexity view point. Though the model recognizes regular languages only, it may use quadratic time in the input length. We show that, with a polynomial increase in size and preserving determinism, each 1-limited automaton can be transformed into an halting linear-time equivalent one. We also obtain polynomial transformations into related models, including weight-reducing Hennie machines, and we show exponential gaps for converse transformations in the deterministic case.



We are very indebted to Giovanni Pighizzini for suggesting the problem and for many stimulating conversations.


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© IFIP International Federation for Information Processing 2018

Authors and Affiliations

  1. 1.Dipartimento di InformaticaUniversità degli Studi di MilanoMilanItaly

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