The theory of idempotent semigroups is of unification type zero (Q581000)
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scientific article; zbMATH DE number 4018418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theory of idempotent semigroups is of unification type zero |
scientific article; zbMATH DE number 4018418 |
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The theory of idempotent semigroups is of unification type zero (English)
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1986
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An equational theory E is of unification type zero if there exist terms s, t for which there is no minimal complete set of E-unifiers of s, t. The existence of such a theory E was conjectured by Plotkin in 1972. The first example of a theory of this type was constructed by Fage and Huet in 1983. The present paper shows that the theory of idempotent semigroups is of unification type zero. This yields an example of a theory of type zero which is more natural than the example given by Fages and Huet.
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term rewriting systems
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equational theory
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unification type zero
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theory of idempotent semigroups
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0.9079847
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0.87465215
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0.86047673
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0.85983807
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0.8586284
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