Extended finite automata over groups
Discrete Applied Mathematics
Automata, Languages, and Machines
Automata, Languages, and Machines
The Accepting Power of Finite Automata over Groups
New Trends in Formal Languages - Control, Cooperation, and Combinatorics (to Jürgen Dassow on the occasion of his 50th birthday)
On groups whose word problem is solved by a counter automaton
Theoretical Computer Science
Semigroup automata with rational initial and terminal sets
Theoretical Computer Science
Hi-index | 5.23 |
We consider blind, deterministic, finite automata equipped with a register which stores an element of a given monoid, and which is modified by right multiplication by monoid elements. We show that, for monoids M drawn from a large class including groups, such an automaton accepts the word problem of a group H if and only if H has a finite index subgroup which embeds in the group of units of M. In the case that M is a group, this answers a question of Elston and Ostheimer.