منابع مشابه
On Pocrims and Hoops
Pocrims and suitable specialisations thereof are structures that provide the natural algebraic semantics for a minimal affine logic and its extensions. Hoops comprise a special class of pocrims that provide algebraic semantics for what we view as an intuitionistic analogue of the classical multi-valued Lukasiewicz logic. We present some contributions to the theory of these algebraic structures....
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T hink philosophically for a moment: As sports medicine clinicians, what is our most important function? Some might say diagnosing illnesses. That's a hard one to argue, especially when it comes to cardiac conditions and the risk of sudden death. Others might focus on rehabilitation and training—no doubt major components of what we do. Many of us focus on injury prevention: keeping athletes on ...
متن کاملOn the structure of hoops
A hoop is a naturally ordered pocrim (i.e., a partially ordered com-mutative residuated integral monoid). We list some basic properties of hoops, describe in detail the structure of subdirectly irreducible hoops, and establish that the class of hoops, which is a variety, is generated, as a quasivariety, by its nite members.
متن کاملPseudo Hoops
Pseudo-hoops are algebraic structures introduced in [1, 2] by B. Bosbach under the name of complementary semigroups. This is a formalization of the paper [4]. Following [4] we prove some properties of pseudo-hoops and we define the basic concepts of filter and normal filter. The lattice of normal filters is isomorphic with the lattice of congruences of a pseudo-hoop. We also study some importan...
متن کامل(Dual) Hoops Have Unique Halving
Continuous logic extends the multi-valued Lukasiewicz logic by adding a halving operator on propositions. This extension is designed to give a more satisfactory model theory for continuous structures. The semantics of these logics can be given using specialisations of algebraic structures known as hoops and coops. As part of an investigation into the metatheory of propositional continuous logic...
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ژورنال
عنوان ژورنال: Journal of Algebraic Hyperstructures and Logical Algebras
سال: 2020
ISSN: 2676-6019
DOI: 10.29252/hatef.jahla.1.1.5