Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Further closure properties of input-driven pushdown automata. / Okhotin, Alexander; Salomaa, Kai.
Descriptional Complexity of Formal Systems - 20th IFIP WG 1.02 International Conference, DCFS 2018, Proceedings. Springer Nature, 2018. p. 224-236 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10952 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Further closure properties of input-driven pushdown automata
AU - Okhotin, Alexander
AU - Salomaa, Kai
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The paper investigates the closure of the language family defined by input-driven pushdown automata (IDPDA) under the following operations: insertion (Formula presented), deletion (Formula presented), square root (Formula presented), and the first half (Formula presented). For K and L recognized by nondeterministic IDPDA, with m and with n states, respectively, insertion requires mn+2m states, as long as K is well-nested; deletion is representable with 2n states, for well-nested K; square root requires n3-O(n2) states, for well-nested L; the well-nested subset of the first half is representable with 2O(n2) states. Without the well-nestedness constraints, non-closure is established in each case.
AB - The paper investigates the closure of the language family defined by input-driven pushdown automata (IDPDA) under the following operations: insertion (Formula presented), deletion (Formula presented), square root (Formula presented), and the first half (Formula presented). For K and L recognized by nondeterministic IDPDA, with m and with n states, respectively, insertion requires mn+2m states, as long as K is well-nested; deletion is representable with 2n states, for well-nested K; square root requires n3-O(n2) states, for well-nested L; the well-nested subset of the first half is representable with 2O(n2) states. Without the well-nestedness constraints, non-closure is established in each case.
UR - http://www.scopus.com/inward/record.url?scp=85050607459&partnerID=8YFLogxK
UR - http://link.springer.com/10.1007/978-3-319-94631-3_19
UR - http://www.mendeley.com/research/further-closure-properties-inputdriven-pushdown-automata
U2 - 10.1007/978-3-319-94631-3_19
DO - 10.1007/978-3-319-94631-3_19
M3 - Conference contribution
AN - SCOPUS:85050607459
SN - 9783319946306
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 224
EP - 236
BT - Descriptional Complexity of Formal Systems - 20th IFIP WG 1.02 International Conference, DCFS 2018, Proceedings
PB - Springer Nature
T2 - 20th IFIP WG 1.02 International Conference on Descriptional Complexity of Formal Systems, DCFS 2018
Y2 - 25 July 2018 through 27 July 2018
ER -
ID: 33857063