Czasopismo
2013
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Vol. 126, nr 2-3
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225--246
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The notion of two-way automata was introduced at the very beginning of automata theory. In 1959, Rabin and Scott and, independently, Shepherdson, proved that these models, both in the deterministic and in the nondeterministic versions, have the same power of one-way automata, namely, they characterize the class of regular languages. In 1978, Sakoda and Sipser posed the question of the costs, in the number of the states, of the simulations of one-way and two-way non-deterministic automata by two-way deterministic automata. They conjectured that these costs are exponential. In spite of all attempts to solve it, this question is still open. In the last ten years the problem of Sakoda and Sipser was widely reconsidered and many new results related to it have been obtained. In this work we discuss some of them. In particular, we focus on the restriction to the unary case, namely the case of automata defined over the one letter input alphabet, and on the connections with open questions in space complexity.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
225--246
Opis fizyczny
Bibliogr. 47 poz.
Twórcy
autor
- Dipartimento di Informatica, Università degli Studi di Milano, Italia, pighizzini@di.unimi.it
Bibliografia
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
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