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On the Conjecture \(\mathcal {L}_{\mathsf {DFCM}}\subsetneq \mathsf {RCM}\)

  • Paolo MassazzaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10329)

Abstract

We prove that the class of the languages recognized by one-way deterministic 1-reversal bounded 1-counter machines is contained in \(\mathsf {RCM}\), a class of languages that has been recently introduced and that admits interesting properties. This is the first step to prove the conjecture \(\mathcal {L}_{\mathsf {DFCM}}\subsetneq \mathsf {RCM}\), which says that for any fixed integer k all the languages recognized by one-way deterministic 1-reversal bounded k-counter machines are in \(\mathsf {RCM}\). We recall that this conjecture implies that the generating function of a language in \(\mathcal {L}_{\mathsf {DFCM}}\) is holonomic.

Keywords

Linear Constraint Global State Regular Language Finite Automaton Input Symbol 
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 AG 2017

Authors and Affiliations

  1. 1.Dipartimento di Scienze Teoriche e Applicate - Sezione InformaticaUniversità degli Studi dell’InsubriaVareseItaly

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