Predicate Calculus And Program Semantics


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Predicate Calculus and Program Semantics


Predicate Calculus and Program Semantics

Author: Edsger W. Dijkstra

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-06


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This booklet presents a reasonably self-contained theory of predicate trans former semantics. Predicate transformers were introduced by one of us (EWD) as a means for defining programming language semantics in a way that would directly support the systematic development of programs from their formal specifications. They met their original goal, but as time went on and program derivation became a more and more formal activity, their informal introduction and the fact that many of their properties had never been proved became more and more unsatisfactory. And so did the original exclusion of unbounded nondeterminacy. In 1982 we started to remedy these shortcomings. This little monograph is a result of that work. A possible -and even likely- criticism is that anyone sufficiently versed in lattice theory can easily derive all of our results himself. That criticism would be correct but somewhat beside the point. The first remark is that the average book on lattice theory is several times fatter (and probably less self contained) than this booklet. The second remark is that the predicate transformer semantics provided only one of the reasons for going through the pains of publication.

Algebraic and Coalgebraic Methods in the Mathematics of Program Construction


Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

Author: Roland Backhouse

language: en

Publisher: Springer

Release Date: 2003-07-31


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Program construction is about turning specifications of computer software into implementations. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory, and allegory theory. This textbook-like tutorial presents, besides an introduction, eight coherently written chapters by leading authorities on ordered sets and complete lattices, algebras and coalgebras, Galois connections and fixed point calculus, calculating functional programs, algebra of program termination, exercises in coalgebraic specification, algebraic methods for optimization problems, and temporal algebra.

Semantic Techniques in Quantum Computation


Semantic Techniques in Quantum Computation

Author: Simon Gay

language: en

Publisher: Cambridge University Press

Release Date: 2010


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Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.