How hard is the word problem?
Sarah Rees, University of Newcastle, UK,
Keywords word problem, decision problems, formal language classes, complexity
Status published in refereed Proceedings of
Conference for European Women in Mathematics, Varna, Bulgaria, September 2002.
When the word problem of a group is soluble, it is natural to ask how hard the
It is standard to use bounds on time, or on space, or at least to use measures
which give information about those bounds. It is also common to analyse the type
of computational machine which is needed to perform the calculation
(which could range from the most general Turing machine to a simple
finite state automaton).
This survey article introduces and compares briefly some of these different measures of complexity.
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