Modal operators for meet-complemented lattices
نویسندگان
چکیده
منابع مشابه
A Comparison of Implications in Orthomodular Quantum Logic - Morphological Analysis of Quantum Logic
Morphological operators are generalized to lattices as adjunction pairs Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994 . In particular, morphology for set lattices is applied to analyze logics through Kripke semantics Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006 . For example, a pair of morphological operators as an adjunction gives rise to a temporalization of normal mod...
متن کاملAutoreferential semantics for many-valued modal logics
In this paper we consider the class of truth-functional modal many-valued logics with the complete lattice of truth-values. The conjunction and disjunction logic operators correspond to the meet and join operators of the lattices, while the negation is independently introduced as a hierarchy of antitonic operators which invert bottom and top elements. The non-constructive logic implication will...
متن کاملTopological Duality and Lattice Expansions Part II: Lattice Expansions with Quasioperators
Lattices have many applications in mathematics and logic, in which they occur together with additional operations. For example, in applications of Hilbert spaces, one is often concerned with the lattice of closed subspaces of a fixed space. This lattice is not distributive, but there is an operation taking a given subspace to its orthogonal subspace. More generally, ortholattices are lattices w...
متن کاملModal-Like Operators in Boolean Lattices, Galois Connections and Fixed Points
In this work, four modal-like operators on Boolean lattices are introduced and their theory is presented from lattice-theoretical, topological and algebraic point of view. It is also shown how rough set approximation operators, modal operators in temporal logic, and linguistic modifiers determined by L-sets can be interpreted as modal-like operators.
متن کاملMinimal Bounded Lattices with an Antitone Involution the Complemented Elements of Which Do Not Form a Sublattice
Bounded lattices with an antitone involution the complemented elements of which do not form a sublattice must contain two complemented elements such that not both their join and their meet are complemented. We distinguish (up to symmetry) eight cases and in each of these cases we present such a lattice of minimal cardinality.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Logic Journal of the IGPL
دوره 25 شماره
صفحات -
تاریخ انتشار 2017