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String rewriting reductions of the form , called
, are the most frequent cause of infinite reductions
(non- termination). Regarded as a model of computation, infinite
reductions are unwanted whence their static detection is important.
There are string rewriting systems which admit infinite reductions
although they admit no loops. Their non-termination is particularly
difficult to uncover. We present a few conditions
for the existence of loops, and thus establish a means to recognize
...
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