Circuits, coNP-completeness, and the groups of Richard Thompson
| dc.creator | Birget, Jean-Camille | |
| dc.date | 2003-10-21 | |
| dc.date.accessioned | 2026-07-07T05:02:08Z | |
| dc.date.available | 2026-07-07T05:02:08Z | |
| dc.description | We construct a finitely presented group with coNP-complete word problem, and a finitely generated simple group with coNP-complete word problem. These groups are represented as Thompson groups, hence as partial transformation groups of strings. The proof provides a simulation of combinational circuits by elements of the Thompson-Higman group G_{3,1}. | |
| dc.description | 73 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310335 | |
| dc.identifier | http://arxiv.org/abs/math/0310335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68940 | |
| dc.subject | Group Theory | |
| dc.subject | 20F10, 68Q15 | |
| dc.title | Circuits, coNP-completeness, and the groups of Richard Thompson | |
| dc.type | text |