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Hi,You are quoting Clocksin and Mellish
Pete Olcott is full of bullshit. He writes
nonsense like for example:
"According to the formal definition of Unification, this
kind of “infinite term” should never come to exist"
https://philarchive.org/archive/OLCPDPv4
Thats not true. There are different formal definitions
of Unification. There is Unification with and without
occurs check.
There are algorithms that can make Unification without--
occurs check terminate, and such an algorithm is
for example implemented in SWI-Prolog.
They were pioneered by Alain Colmerauer himself, the
co-inventor of Prolog, who even wrote a paper about
the subject:
PROLOG AND INFINITE TREES
Alain Colmerauer - 1982
Universite Aix-Marseille
https://www.softwarepreservation.org/projects/prolog/marseille/doc/Colmerauer-InfTree-1982.pdf
Bye
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