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I am limitedly aware of some works done in connecting semigroups and computer sciences. And, indeed, there are many works in this area.

May I ask you what would the ingeniously work be with this goal?

I am asking here because the giants may want to pay an attention to my little request. :-)

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Here is a question of mine along similar lines:

Have semigroups with actions on themselves that have a dual to the compatibility axiom ever been studied?

The answer by Joseph Van Name may contain something of interest to you, in particular there is a reference given at the end of it.

The question is precisely about the links between semigroup theory and computer science, specifically rewriting theory, funnily enough.

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