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Formal Languages over GF(2). / Bakinova, Ekaterina; Basharin, Artem; Batmanov, Igor; Lyubort, Konstantin; Okhotin, Alexander; Sazhneva, Elizaveta.

Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings. Springer Nature, 2018. p. 68-79 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10792 LNCS).

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Harvard

Bakinova, E, Basharin, A, Batmanov, I, Lyubort, K, Okhotin, A & Sazhneva, E 2018, Formal Languages over GF(2). in Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10792 LNCS, Springer Nature, pp. 68-79, 12th International Conference on Language and Automata Theory and Applications, LATA 2018, Ramat Gan, Israel, 9/04/18. https://doi.org/10.1007/978-3-319-77313-1_5

APA

Bakinova, E., Basharin, A., Batmanov, I., Lyubort, K., Okhotin, A., & Sazhneva, E. (2018). Formal Languages over GF(2). In Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings (pp. 68-79). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10792 LNCS). Springer Nature. https://doi.org/10.1007/978-3-319-77313-1_5

Vancouver

Bakinova E, Basharin A, Batmanov I, Lyubort K, Okhotin A, Sazhneva E. Formal Languages over GF(2). In Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings. Springer Nature. 2018. p. 68-79. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-77313-1_5

Author

Bakinova, Ekaterina ; Basharin, Artem ; Batmanov, Igor ; Lyubort, Konstantin ; Okhotin, Alexander ; Sazhneva, Elizaveta. / Formal Languages over GF(2). Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings. Springer Nature, 2018. pp. 68-79 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{4756af2bcff84ec49e9d7107fed5fa2f,
title = "Formal Languages over GF(2)",
abstract = "Variants of the union and concatenation operations on formal languages are investigated, in which Boolean logic in the definitions (that is, conjunction and disjunction) is replaced with the operations in the two-element field GF(2) (conjunction and exclusive OR). Union is thus replaced with symmetric difference, whereas concatenation gives rise to a new GF(2)-concatenation operation, which is notable for being invertible. All operations preserve regularity, and their state complexity is determined. Next, a new class of formal grammars based on GF(2)-operations is defined, and it is shown to have the same computational complexity as ordinary grammars with union and concatenation.",
author = "Ekaterina Bakinova and Artem Basharin and Igor Batmanov and Konstantin Lyubort and Alexander Okhotin and Elizaveta Sazhneva",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-77313-1_5",
language = "English",
isbn = "9783319773124",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "68--79",
booktitle = "Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings",
address = "Germany",
note = "12th International Conference on Language and Automata Theory and Applications, LATA 2018 ; Conference date: 09-04-2018 Through 11-04-2018",

}

RIS

TY - GEN

T1 - Formal Languages over GF(2)

AU - Bakinova, Ekaterina

AU - Basharin, Artem

AU - Batmanov, Igor

AU - Lyubort, Konstantin

AU - Okhotin, Alexander

AU - Sazhneva, Elizaveta

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Variants of the union and concatenation operations on formal languages are investigated, in which Boolean logic in the definitions (that is, conjunction and disjunction) is replaced with the operations in the two-element field GF(2) (conjunction and exclusive OR). Union is thus replaced with symmetric difference, whereas concatenation gives rise to a new GF(2)-concatenation operation, which is notable for being invertible. All operations preserve regularity, and their state complexity is determined. Next, a new class of formal grammars based on GF(2)-operations is defined, and it is shown to have the same computational complexity as ordinary grammars with union and concatenation.

AB - Variants of the union and concatenation operations on formal languages are investigated, in which Boolean logic in the definitions (that is, conjunction and disjunction) is replaced with the operations in the two-element field GF(2) (conjunction and exclusive OR). Union is thus replaced with symmetric difference, whereas concatenation gives rise to a new GF(2)-concatenation operation, which is notable for being invertible. All operations preserve regularity, and their state complexity is determined. Next, a new class of formal grammars based on GF(2)-operations is defined, and it is shown to have the same computational complexity as ordinary grammars with union and concatenation.

UR - http://www.scopus.com/inward/record.url?scp=85045299437&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/formal-languages-gf2

U2 - 10.1007/978-3-319-77313-1_5

DO - 10.1007/978-3-319-77313-1_5

M3 - Conference contribution

AN - SCOPUS:85045299437

SN - 9783319773124

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 68

EP - 79

BT - Language and Automata Theory and Applications - 12th International Conference, LATA 2018, Proceedings

PB - Springer Nature

T2 - 12th International Conference on Language and Automata Theory and Applications, LATA 2018

Y2 - 9 April 2018 through 11 April 2018

ER -

ID: 33857161