We define a class of languages (RCM) obtained by considering Regular languages, linear Constraints on the number of occurrences of symbols and Morphisms. The class RCM presents some interesting closure properties, and contains languages with holonomic generating functions. As a matter of fact, RCM is related to one-way 1-reversal bounded k-counter machines and also to Parikh automata on letters. Indeed, RCM is contained in L-NFCM but not in L-DFCM, and strictly includes L-CPA. We conjecture that L-DFCM subset of RCM. (C) 2016 Elsevier B.V. All rights reserved.

On a class of languages with holonomic generating functions

MASSAZZA, PAOLO
;
2017-01-01

Abstract

We define a class of languages (RCM) obtained by considering Regular languages, linear Constraints on the number of occurrences of symbols and Morphisms. The class RCM presents some interesting closure properties, and contains languages with holonomic generating functions. As a matter of fact, RCM is related to one-way 1-reversal bounded k-counter machines and also to Parikh automata on letters. Indeed, RCM is contained in L-NFCM but not in L-DFCM, and strictly includes L-CPA. We conjecture that L-DFCM subset of RCM. (C) 2016 Elsevier B.V. All rights reserved.
2017
Holonomic functions; Parikh vectors; Context free languages; k-counter machines; Parikh automata
Massazza, Paolo; Giusi, Castiglione
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2059355
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