Titlebook: Logic of Domains; Guo-Qiang Zhang Book 1991 Springer Science+Business Media New York 1991 linear optimization.logic.mathematical logic.pro

PALMY

intuition

A Representation of SFPms. Distilled from Gentzen’s sequent calculi, a basic structure called a sequent structure is produced. Sequent structures determine a major part of the axioms of information systems. A category of special kind of sequent structures called the strongly finite ones is shown to be equivalent to the ca

丛林

A Logic of SFPe proof system for a programming language. Given a programming language, the domain for its denotational semantics specifies a type. That type allows the identification, in a uniform manner, an assertion language and a proof system from the general framework. Any proof system so derived is guarantee

headway

A Mu-CalculusThese assertions were interpreted as compact open sets of the domains associated with the types. The expressive power of the logic is, therefore, not as strong as one sometimes would like. There is no assertion, for example, of the type of natural numbers to express ‘the set of even numbers’. To mak

PHIL

Categoriesas objects and certain kinds of stable functions as morphisms. But they are scattered in the literature. To provide a background knowledge for the work of Part II, we give a survey of such categories (some of them are new) and indicates relationships among them (if possible). We actually present mor

fatty-acids

A Representation of DI some similarity between event structures and information systems. The difference is, however, perhaps bigger than the similarity after a second thought. For an information system, for example, if . ⊢ . and . ⊢ . then . and . must be consistent while for an event structure, we cannot say anything ab

mosque

Stable Neighborhoodscontinuous functions. Scott open sets on stable domains, however, do not characterize stable functions. They do not characterize the stable order, in particular. This makes key rules like . inappropriate for the stable case.

Longitude

Research Topicsic was first adequately demonstrated in Abramsky’s work ‘Domain Theory in Logical Form’ ([Ab87]). Although this monograph definitely adds more to our appreciation of the importance, this should really be counted as a side effect. The purposes of the monograph is, as pointed out at the beginning, to

TSH582

colony