Mathematics of Program Construction

Second International Conference, Oxford, U.K., June 29 - July 3, 1992. Proceedings
1993
ISBN: 978-3-540-56625-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 669, 380 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1210 g

Reihe: Lecture Notes in Computer Science

Not very long ago, the uninhibited use of mathematics in the
development of software was regarded as something for
academics alone. Today, there is moreand more interest
from industry in formal methods based on mathematics. This
interest has come from the success of a number of
experiments on real industrial applications. Thus, there is
not only a belief, but also evidence, that the study of
computer programs as mathematical objects leads to more
efficient methods for constructing them.
The papers in this volume were presented at the Second
International Conference on the Mathematics of Program
Construction, held at St. Catherine's College, Oxford, June
29 - July 3, 1992. The conference was organized by the
Oxford University Programming Research Group, and continued
the theme set by the first - the use of crisp, clear
mathematics in the discovery and design of algorithms. The
second conference gives evidence of the ever-widening impact
of precise mathematical methods in program development.
There are papers applying mathematics not only to sequential
programs but also to parallel and on-current applications,
real-time and reactive systems, and to designs realised
directly in hardware. The volume includes 5 invited papers
and 19 contributed papers.

Zielgruppe

Research

Autoren/Hrsg.

Bird, Richard S.

Woodcock, James C. P.

Morgan, C.Carroll

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmierung: Methoden und Allgemeines
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Software Engineering Objektorientierte Softwareentwicklung
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Extended calculus of constructions as a specification language.- On the economy of doing Mathematics.- Pretty-printing: An exercise in functional programming.- True concurrency: Theory and practice.- Programming for behaviour.- Calculating a path algorithm.- Solving optimisation problems with catamorphisms.- A time-interval calculus.- Conservative fixpoint functions on a graph.- An algebraic construction of predicate transformers.- Upwards and downwards accumulations on trees.- Distributing a class of sequential programs.- (Relational) programming laws in the boom hierarchy of types.- A logarithmic implementation of flexible arrays.- Designing arithmetic circuits by refinement in Ruby.- An operational semantics for the guarded command language.- Shorter paths to graph algorithms.- Logical specifications for functional programs.- Inorder traversal of a binary heap and its inversion in optimal time and space.- A calculus for predicative programming.- Derivation of a parallel matching algorithm.- Modular reasoning in an object-oriented refinement calculus.- An alternative derivation of a binary heap construction function.- A derivation of Huffman's algorithm.