We investigate the language classes recognized by group automata over matrix groups. We present a summary of the results obtained so far together with a number of new results. We look at the computational power of time-bounded group automata where the group under consideration has polynomial growth.

Language classes associated with automata over matrix groups / Salehi, Ozlem; D'Alessandro, Flavio; Say, Cem. - In: RAIRO. INFORMATIQUE THEORIQUE ET APPLICATIONS. - ISSN 0988-3754. - ELETTRONICO. - 52:(2018), pp. 253-268. [10.1051/ita/2018017]

Language classes associated with automata over matrix groups

D'Alessandro, Flavio;
2018

Abstract

We investigate the language classes recognized by group automata over matrix groups. We present a summary of the results obtained so far together with a number of new results. We look at the computational power of time-bounded group automata where the group under consideration has polynomial growth.
2018
Group automaton; context-free language; polynomial growth
01 Pubblicazione su rivista::01a Articolo in rivista
Language classes associated with automata over matrix groups / Salehi, Ozlem; D'Alessandro, Flavio; Say, Cem. - In: RAIRO. INFORMATIQUE THEORIQUE ET APPLICATIONS. - ISSN 0988-3754. - ELETTRONICO. - 52:(2018), pp. 253-268. [10.1051/ita/2018017]
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Note: This paper is available with the kind permission of RAIRO Theoretical Information EDP -- The author acknowledges the copyright of the editor on this paper -- Link to publisher version with DOI: https://doi.org/10.1051/ita/2016017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1249034
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