  Every tame, prime and alternating knot is equivalent to a tame, prime and
alternating knot in regular position, with a common projection. In this work,
we show that the Dehn presentation of the knot group of a tame, prime,
alternating knot, with a regular and common projection has a finite and
complete rewriting system. Although there are rules in the rewriting system
with left-hand side a generator and which increase the length of the words we
show that the system is terminating.
