Lower Semilattice-Ordered Residuated Semigroups and Substructural Logics
نویسندگان
چکیده
منابع مشابه
Lower Semilattice-Ordered Residuated Semigroups and Substructural Logics
We look at lower semilattice-ordered residuated semigroups and, in particular, the representable ones, i.e., those that are isomorphic to algebras of binary relations. We will evaluate expressions (terms, sequents, equations, quasi-equations) in representable algebras and give finite axiomatizations for several notions of validity. These results will be applied in the context of substructural l...
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As Jonathan Leech has pointed out, many natural examples of inverse semigroups are semilattice ordered under the natural partial order. But there are many interesting examples of semilattice ordered inverse semigroups in which the imposed partial order is not the natural one. In this talk we shall explore the structure and properties of these examples and some other questions related to semilat...
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ژورنال
عنوان ژورنال: Studia Logica
سال: 2014
ISSN: 0039-3215,1572-8730
DOI: 10.1007/s11225-014-9574-z