Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Sheaves of structures, Heyting‐valued structures, and a generalization of Łoś's theorem
View through CrossRef
AbstractSheaves of structures are useful to give constructions in universal algebra and model theory. We can describe their logical behavior in terms of Heyting‐valued structures. In this paper, we first provide a systematic treatment of sheaves of structures and Heyting‐valued structures from the viewpoint of categorical logic. We then prove a form of Łoś's theorem for Heyting‐valued structures. We also give a characterization of Heyting‐valued structures for which Łoś's theorem holds with respect to any maximal filter.
Title: Sheaves of structures, Heyting‐valued structures, and a generalization of Łoś's theorem
Description:
AbstractSheaves of structures are useful to give constructions in universal algebra and model theory.
We can describe their logical behavior in terms of Heyting‐valued structures.
In this paper, we first provide a systematic treatment of sheaves of structures and Heyting‐valued structures from the viewpoint of categorical logic.
We then prove a form of Łoś's theorem for Heyting‐valued structures.
We also give a characterization of Heyting‐valued structures for which Łoś's theorem holds with respect to any maximal filter.
Related Results
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
Single-Valued Neutrosophic Ideal Approximation Spaces
Single-Valued Neutrosophic Ideal Approximation Spaces
In this paper, we defined the basic idea of the single-valued neutrosophic upper (αn)δ, single-valued neutrosophic lower (αn)δ and single-valued neutrosophic boundary sets (αn)B of...
Fuzzy Congruences on Heyting Algebras: Characterizations via Fuzzy Ideals and Filters.
Fuzzy Congruences on Heyting Algebras: Characterizations via Fuzzy Ideals and Filters.
Background Heyting algebras serve as algebraic models for intuitionistic logic, with classical congruence relations playing a key role in their structural analysis. This paper exte...
Many Valued Logic of Gödel and Łukasiewicz
Many Valued Logic of Gödel and Łukasiewicz
Gödel and Łukasiewicz proposed the three-valued logic by adding the third logical situation, which includes uncertainty and ambiguity, to the classical two logical values, true or ...
A new characterization of complete Heyting and co-Heyting algebras
A new characterization of complete Heyting and co-Heyting algebras
We give a new order-theoretic characterization of a complete Heyting and co-Heyting algebra $C$. This result provides an unexpected relationship with the field of Nash equilibria, ...
VIRTUAL CONTACT POINT METHOD.
SIDE MILL GENERATING A CYLINDRICAL HELICAL SURFACE
VIRTUAL CONTACT POINT METHOD.
SIDE MILL GENERATING A CYLINDRICAL HELICAL SURFACE
Cylindrical helical surfaces with constant pitch can be generated using tools bounded by primary peripheral surfaces of revolution, such as side mills, end mills, cylindrical plani...
Decidable fan theorem and uniform continuity theorem with continuous moduli
Decidable fan theorem and uniform continuity theorem with continuous moduli
AbstractThe uniform continuity theorem states that every pointwise continuous real‐valued function on the unit interval is uniformly continuous. In constructive mathematics, is s...
An Introduction to Single-Valued Neutrosophic Primal Theory
An Introduction to Single-Valued Neutrosophic Primal Theory
This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental char...