Prediction of Infinite Words with Automata

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9691)


In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the predictor’s guesses are correct. In this paper we consider the case in which the predictor is an automaton and the emitted values are drawn from a finite set; i.e., the emitted sequence is an infinite word. We examine the predictive capabilities of finite automata, pushdown automata, stack automata (a generalization of pushdown automata), and multihead finite automata. We relate our predicting automata to purely periodic words, ultimately periodic words, and multilinear words, describing novel prediction algorithms for mastering these sequences.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Northeastern UniversityBostonUSA
  2. 2.Université Paris-Est Marne-la-ValléeChamps-sur-MarneFrance

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