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Proof in VDM: A Practitioner's Guide

Proof in VDM: A Practitioner's Guide

Paperback

Series: Formal Approaches to Computing and Information Technology (F

Programming

ISBN10: 354019813X
ISBN13: 9783540198130
Publisher: Springer
Published: Dec 1 1993
Pages: 362
Weight: 1.17
Height: 0.78 Width: 6.14 Depth: 9.21
Language: English
Formal specifications were first used in the description of program- ming languages because of the central role that languages and their compilers play in causing a machine to perform the computations required by a programmer. In a relatively short time, specification notations have found their place in industry and are used for the description of a wide variety of software and hardware systems. A formal method - like VDM - must offer a mathematically-based specification language. On this language rests the other key element of the formal method: the ability to reason about a specification. Proofs can be empioyed in reasoning about the potential behaviour of a system and in the process of showing that the design satisfies the specification. The existence of a formal specification is a prerequisite for the use of proofs; but this prerequisite is not in itself sufficient. Both proofs and programs are large formal texts. Would-be proofs may therefore contain errors in the same way as code. During the difficult but inevitable process of revising specifications and devel- opments, ensuring consistency is a major challenge. It is therefore evident that another requirement - for the successful use of proof techniques in the development of systems from formal descriptions - is the availability of software tools which support the manipu- lation of large bodies of formulae and help the user in the design of the proofs themselves.

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Programming