%0 Journal Article
%T Groups that do and do not have context-sensitive word problem
%A Derek F. Holt
%A Sarah Rees
%A Michael Shapiro
%J Mathematics
%D 2008
%I arXiv
%X We prove that a group has word problem that is a growing context-sensitive language precisely if its word problem can be solved using a non-deterministic Cannon's algorithm (the deterministic algorithms being defined by Goodman and Shapiro). We generalise their results to find many examples of groups not admitting non-deterministic Cannon's algorithms. This adds to the examples of Kambites and Otto of groups separating context-sensitive and growing context-sensitive word problems, and provides a new language-theoretic separation result.
%U http://arxiv.org/abs/0801.4533v1