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

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


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.


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© 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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