Quotient complexities of atoms in regular ideal languages
A (left) quotient of a language L by a word w is the language w −1L = {x | wx ϵ L}. The quotient complexity of a regular language L is the number of quotients of L; it is equal to the state complexity of L, which is the number of states in a minimal deterministic finite automaton accepting L. An ato...
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| Dokumentumtípus: | Cikk |
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2015
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| Sorozat: | Acta cybernetica
22 No. 2 |
| Kulcsszavak: | Reakcióképesség - kémiai, Számítástechnika |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.22.2.2015.4 |
| Online Access: | http://acta.bibl.u-szeged.hu/36234 |
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| 100 | 1 | |a Brzozowski Janusz | |
| 245 | 1 | 0 | |a Quotient complexities of atoms in regular ideal languages |h [elektronikus dokumentum] / |c Brzozowski Janusz |
| 260 | |c 2015 | ||
| 300 | |a 293-311 | ||
| 490 | 0 | |a Acta cybernetica |v 22 No. 2 | |
| 520 | 3 | |a A (left) quotient of a language L by a word w is the language w −1L = {x | wx ϵ L}. The quotient complexity of a regular language L is the number of quotients of L; it is equal to the state complexity of L, which is the number of states in a minimal deterministic finite automaton accepting L. An atom of L is an equivalence class of the relation in which two words are equivalent if for each quotient, they either are both in the quotient or both not in it; hence it is a non-empty intersection of complemented and uncomplemented quotients of L. A right (respectively, left and two-sided) ideal is a language L over an alphabet Σ that satisfies L = LΣ* (respectively, L = Σ*L and L = Σ*LΣ*). We compute the maximal number of atoms and the maximal quotient complexities of atoms of right, left and two-sided regular ideals. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Reakcióképesség - kémiai, Számítástechnika | ||
| 700 | 0 | 1 | |a Davies Sylvie |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/36234/1/actacyb_22_2_2015_4.pdf |z Dokumentum-elérés |