KUNC, Michal. The simplest language where equivalence of finite substitutions is undecidable. In Fundamentals of Computation Theory: 16th International Symposium, FCT 2007, Budapest, Hungary, August 27-30, 2007. Proceedings. Berlin: Springer, 2007, p. 365-375. ISBN 978-3-540-74239-5.
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Basic information
Original name The simplest language where equivalence of finite substitutions is undecidable
Name in Czech Nejjednodušší jazyk, na němž je ekvivalence konečných substitucí nerozhodnutelná
Authors KUNC, Michal (203 Czech Republic, guarantor).
Edition Berlin, Fundamentals of Computation Theory: 16th International Symposium, FCT 2007, Budapest, Hungary, August 27-30, 2007. Proceedings, p. 365-375, 2007.
Publisher Springer
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/07:00020433
Organization unit Faculty of Science
ISBN 978-3-540-74239-5
UT WoS 000250044600032
Keywords in English Finite substitution; Language equation; Finite transducer; Regular language; Equivalence problem
Tags Equivalence problem, Finite substitution, Finite transducer, Language equation, Regular language
Tags International impact, Reviewed
Changed by Changed by: doc. Mgr. Michal Kunc, Ph.D., učo 2906. Changed: 12/12/2007 16:58.
Abstract
We show that it is undecidable whether two finite substitutions agree on the binary language a*b. This in particular means that equivalence of nondeterministic finite transducers is undecidable even for two-state transducers with unary input alphabet and whose all transitions start from the initial state.
Abstract (in Czech)
Ukazujeme, že není možné rozhodovat, zda se dvě konečné substituce shodují na binárním jazyce a*b. To mimo jiné znamená, že ekvivalence nedeterministických konečných převodníků je nerozhodnutelná dokonce pro dvoustavové převodníky s unární vstupní abecedou, jejichž všechny přechody vedou z počátečního stavu.
Links
GA201/06/0936, research and development projectName: Algebraické metody v teorii automatů a formálních jazyků
Investor: Czech Science Foundation, Algebraic Methods in Automata and Formal Language Theory
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
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