Conference paper

Some non-semi-decidability problems for linear and deterministic context-free languages


Authors listBordihn, H; Holzer, M; Kutrib, M

Editor listDomaratzki, M; Okhotin, A; Salomaa, K; Yu, S

Publication year2005

Pages68-79

JournalLecture notes in computer science

Volume number3317

ISSN0302-9743

ISBN3-540-24318-6

eISSN1611-3349

Conference9th International Conference on Implementation and Application of Automata

PublisherSpringer

Title of seriesLecture Notes in Computer Science


Abstract
We investigate the operation problem for linear and deterministic context-free languages: Fix an operation on formal languages. Given linear (deterministic, respectively) context-free languages, is the application of this operation to the given languages still a linear (deterministic, respectively) context-free language? Besides the classical operations, for which the linear and deterministic context-free languages are not closed, we also consider the recently introduced root and power operation. We show non-semi-decidability for all of the aforementioned operations, if the underlying alphabet contains at least two letters. The non-semi-decidability and thus the undecidability for the power operation solves an open problem stated in [4].



Citation Styles

Harvard Citation styleBordihn, H., Holzer, M. and Kutrib, M. (2005) Some non-semi-decidability problems for linear and deterministic context-free languages, Lecture notes in computer science (Schriftenreihe), 3317, pp. 68-79

APA Citation styleBordihn, H., Holzer, M., & Kutrib, M. (2005). Some non-semi-decidability problems for linear and deterministic context-free languages. Lecture notes in computer science (Schriftenreihe). 3317, 68-79.


Last updated on 2025-02-04 at 04:04