Displaying similar documents to “State complexity of cyclic shift”

Circular splicing and regularity

Paola Bonizzoni, Clelia De Felice, Giancarlo Mauri, Rosalba Zizza (2004)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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Circular splicing has been very recently introduced to model a specific recombinant behaviour of circular DNA, continuing the investigation initiated with linear splicing. In this paper we restrict our study to the relationship between regular circular languages and languages generated by finite circular splicing systems and provide some results towards a characterization of the intersection between these two classes. We consider the class of languages X * , called here star languages,...

Note on the succinctness of deterministic, nondeterministic, probabilistic and quantum finite automata

Carlo Mereghetti, Beatrice Palano, Giovanni Pighizzini (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We investigate the succinctness of several kinds of unary automata by studying their state complexity in accepting the family { L m } of cyclic languages, where L m = { a k m | k ∈ ℕ } . In particular, we show that, for any m , the number of states necessary and sufficient for accepting the unary language L m with isolated cut point on one-way probabilistic finite automata is p 1 α 1 + p 2 α 2 + ⋯ + p s α s , with p 1 α 1 p 2 α 2 ⋯ p s α s being the factorization of m . To prove this result, we give a general state lower bound for accepting unary languages with isolated...

Normal forms for unary probabilistic automata

Maria Paola Bianchi, Giovanni Pighizzini (2012)

RAIRO - Theoretical Informatics and Applications

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We investigate the possibility of extending Chrobak normal form to the probabilistic case. While in the nondeterministic case a unary automaton can be simulated by an automaton in Chrobak normal form without increasing the number of the states in the cycles, we show that in the probabilistic case the simulation is not possible by keeping the same number of ergodic states. This negative result is proved by considering the natural extension...

Normal forms for unary probabilistic automata

Maria Paola Bianchi, Giovanni Pighizzini (2012)

RAIRO - Theoretical Informatics and Applications

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We investigate the possibility of extending Chrobak normal form to the probabilistic case. While in the nondeterministic case a unary automaton can be simulated by an automaton in Chrobak normal form without increasing the number of the states in the cycles, we show that in the probabilistic case the simulation is not possible by keeping the same number of ergodic states. This negative result is proved by considering the natural extension...

Translation from classical two-way automata to pebble two-way automata

Viliam Geffert, L'ubomíra Ištoňová (2010)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We study the relation between the standard two-way automata and more powerful devices, namely, two-way finite automata equipped with some ℓ additional “pebbles” that are movable along the input tape, but their use is restricted (nested) in a stack-like fashion. Similarly as in the case of the classical two-way machines, it is not known whether there exists a polynomial trade-off, in the number of states, between the nondeterministic and deterministic two-way automata with ℓ nested pebbles....