Interpolation Methods for Dunn Logics and Their Extensions
نویسندگان
چکیده
منابع مشابه
Interpolation Methods for Dunn Logics and Their Extensions
The semantic valuations of classical logic, strong Kleene logic, the logic of paradox and the logic of first-degree entailment, all respect the Dunn conditions: we call them Dunn logics. In this paper, we study the interpolation properties of the Dunn logics and extensions of these logics to more expressive languages. We do so by relying on the Dunncalculus, a signed tableau calculus whose rule...
متن کاملNon-Commutative EQ-Logics and Their Extensions
We discuss a formal many-valued logic called EQlogic which is based on a recently introduced special class of algebras called EQ-algebras. The latter have three basic binary operations (meet, multiplication, fuzzy equality) and a top element and, in a certain sense, generalize residuated lattices. The goal of EQ-logics is to present a possible direction in the development of mathematical logics...
متن کاملOn transfinite Gordon-Wixom interpolation schemes and their extensions
Among various barycentric coordinates and their extensions, the linear and cubic (Hermite) Gordon-Wixom transfinite interpolation schemes deliver the most accurate approximations of the harmonic and biharmonic functions, respectively. However interpolation properties of the original Gordon-Wixom interpolations are studied for convex domains only and, therefore, their current practical importanc...
متن کاملJustification Logics and Conservative Extensions
Several justification logics have evolved, starting with the logic LP, [2]. These can be thought of as explicit versions of modal logics, or logics of knowledge or belief in which the unanalyzed necessity operator has been replaced with a family of explicit justification terms. Modal logics come in various strengths. For their corresponding justification logics, differing strength is reflected ...
متن کاملInterpolation and Three-valued Logics
We consider propositional logic. Three-valued logics are old: the first one is Lukasiewicz three valued logic from 1920 [8]. Gödel in [5] from 1932 studied a hierarchy of finite-valued logics, containing Gödel three-valued logic. Our main interest pays to Kleene three-valued logic [6]. Other threevalued logics will not be considered here. Let us agree that the three truth values are 0, 1 2 , 1 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Logica
سال: 2017
ISSN: 0039-3215,1572-8730
DOI: 10.1007/s11225-017-9720-5