... Reinert1
The author was supported by the Deutsche Forschungsgemeinschaft (DFG).
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A partial ordering on is called admissible if for all u,v,x,y in we have , and implies .
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... well-founded3
A partial ordering on is called well-founded if no infinite chains of the form with are possible.
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... fair4
A fair strategy will ensure that all elements of the set B are considered at some time by the procedure.
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...
These polynomials are frequently called s-polynomials in the literature.
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...5
denotes the natural numbers including 0.
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... closure6
The normal closure of a set T in is the smallest normal subgroup containing T.
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... none7
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...
By theorem 6 the existence of such finite bases would solve the word problem for groups presented by finite string rewriting systems.
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