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The GF(2)-inverse operation on formal languages is known to have state complexity for alphabets with at least three symbols, and for a one-symbol alphabet. In this paper, it is shown that, for a two-symbol alphabet, its state complexity is exactly For a more general operation of GF(2)-star, its state complexity for a binary alphabet remains.
| Original language | English |
|---|---|
| Title of host publication | Descriptional Complexity of Formal Systems - 22nd International Conference, 2020, Proceedings |
| Editors | Galina Jirásková, Giovanni Pighizzini |
| Publisher | Springer Nature |
| Pages | 142-154 |
| Number of pages | 13 |
| ISBN (Print) | 9783030625351 |
| DOIs | |
| State | Published - 2020 |
| Event | 22nd International Conference on Descriptional Complexity of Format Systems, DCFS 2020 - Vienna, Austria Duration: 24 Aug 2020 → 26 Aug 2020 |
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 12442 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
| Conference | 22nd International Conference on Descriptional Complexity of Format Systems, DCFS 2020 |
|---|---|
| Country/Territory | Austria |
| City | Vienna |
| Period | 24/08/20 → 26/08/20 |
ID: 72034600