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Titlebook: Relational Methods in Computer Science; Chris Brink,Wolfram Kahl,Gunther Schmidt Book 1997 Springer-Verlag Wien 1997 algebra.algorithm.alg

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楼主: Gratification
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Relational Formalisation of Nonclassical Logics,The purpose of this chapter is to present and motivate the application of algebras of relations to the formalisation of nonclassical logics. It is shown that a suitably defined relational logic can serve as a general framework for developing nonclassical means of reasoning that are needed in many application areas.
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Linear Logic,Linear logic, introduced by Jean-Yves Girard [Girard 1987], has aroused considerable interest among logicians and theoretical computer scientists. Among other things, linear logic is said to be a . and a .. According to Girard [Girard 1995], it should be viewed as an extension of classical logic, rather than as an alternative logic.
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Algorithms from Relational Specifications,The purpose of a specification is to state a problem as clearly as possible. In many cases, the most direct and intuitive way to specify a problem is by writing down a logical predicate that describes its possible solutions. Here, we employ the calculus of relations for developing efficient algorithms from problem specifications.
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https://doi.org/10.1007/978-3-7091-6510-2algebra; algorithm; algorithms; calculus; computer; computer science; database; databases; development; langu
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978-3-211-82971-4Springer-Verlag Wien 1997
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Refinement and Demonic Semantics,, which we view as computing an input-output relation on a set of states. We are interested here in programs that are meant to terminate, not in reactive programs. Our programming language is Dijkstra’s language of guarded commands [Dijkstra 1976], which allows the expression of nondeterminism, thus making a relational approach very natural.
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Tabular Representations in Relational Documents,formal model of tabular expressions, defining the meaning of a large class of tabular forms, is presented. Finally, we discuss the transformation of tabular expressions from one form to another, and illustrate some useful transformations.
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Heterogeneous Relation Algebra,and, a variant of the theory has evolved that treats relations from the very beginning as . or ., i.e. as relations where the normal case is that they are relations between two different sets. The present chapter is devoted to this variant form.
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