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Titlebook: Mathematical Foundations of Computer Science 1978; 7th Symposium Zakopa J. Winkowski Conference proceedings 1978 Springer-Verlag Berlin Hei

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The connection between modal logic and algorithmic logics,on use of Kripke semantics. The bearing for semantics of some recent results in modal logic is explained. Finally we describe the possibilities to use intesional logic for the semantics of assignments.
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Extensions and implementations of abstract data type specifications, morphisms, and weak extensions are introduced as a generalization. On this basis, a conceptually simple but powerful notion of implementation is given. The effects of these concepts on the associated initial algebras are investigated, and it is shown that implementations can be done in multiple lev
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Concurrency of manipulations in multidimensional information structures,ct a single "concurrent manipulation rule" with the following property: Each application of the sequence of rules to a multidimensional information structure — such that the dependence relations are respected — can be performed in a single step applying the concurrent manipulation rule to the same s
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Deriving structures from structures,ures and transformations that arise in biology as well as computer science are special cases of our concepts. A structure may be changed by finding an occurrence of a pattern and replacing it by another pattern as specified by a rule. To prove theorems about long sequences of applications of complic
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Loop programs and classes of primitive recursive functions,llows to discover new properties (for instance Universal Function Theorem) or to reproduce already known properties of this hierarchy. A further refinement leads to a natural definition of a (ω.)-hierarchy, whose properties resemble those of Cleave‘s hierarchy.
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