منابع مشابه
Projectivity, Continuity, and Adjointness: Quantales, Q-posets, and Q-modules
In this paper, projective modules over a quantale are characterized by distributivity, continuity, and adjointness conditions. It is then show that a morphism Q // A of commutative quantales is coexponentiable if and only if the corresponding Q-module is projective, and hence, satisfies these equivalent conditions.
متن کاملOrthomodular Lattices and Quantales
Let L be a complete orthomodular lattice. There is a one to one correspondence between complete boolean subalgebras of L contained in the center of L and endomorphisms j of L satisfying the Borceux-Van den Bossche conditions.
متن کاملQuantales and Observational Semantics
We illustrate the idea that quantales can be regarded as algebras of experimental observations on physical systems, and we give a survey of some research in computer science where this idea has been used. We extend the mathematical framework hitherto available so that it can be applied to more general systems than before, in particular to quantum systems and systems whose behaviour is partially...
متن کاملQuantales and Continuity Spaces
The theory of metric spaces provides an elementary introduction to topology and unies many branches of classical analysis. Using it, the intuitive notions of continuity, limit and Cauchy sequence can be developed in a very general setting. Moreover, since metric techniques are frequently much more powerful than topological ones, they make possible simpler and more elegant solutions to many prob...
متن کاملQuantales and Temporal Logics
We propose an algebraic semantics for the temporal logic CTL∗ and simplify it for its sublogics CTL and LTL. We abstractly represent state and path formulas over transition systems in Boolean left quantales. These are complete lattices with a multiplication that preserves arbitrary joins in its left argument and is isotone in its right argument. Over these quantales, the semantics of CTL∗ formu...
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ژورنال
عنوان ژورنال: RAIRO - Theoretical Informatics and Applications
سال: 1993
ISSN: 0988-3754,1290-385X
DOI: 10.1051/ita/1993270604831