The word problem distinguishes counter languages

Counter automata are more powerful versions of finite state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of Zn is accepted by a nondeterministic m-counter automaton if and only if m >= n.

Detalles Bibliográficos
Autores: Cleary, Sean, Elder, Murray, Ostheimer, Gretchen
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:44067
Acceso en línea:https://ddd.uab.cat/record/44067
Access Level:acceso abierto
Palabra clave:Llenguatges formals
Autòmats finits
Lingüística computacional
Descripción
Sumario:Counter automata are more powerful versions of finite state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of Zn is accepted by a nondeterministic m-counter automaton if and only if m >= n.