## Formal aspects of measurement: proceedings of the BCS-FACS Workshop on Formal Aspects of Measurement, South Bank University, London, 5 May 1991This volume is based on the proceedings of the BCS-FACS Workshop on Formal Aspects of Measurement, held at South Bank University in May 1991. Research into software measurement is becoming increasingly important as the range of theories and techniques available to software engineers expands. This workshop was distinguished by the fact that it brought together many of the leading researchers in this area, both from Europe and the USA. The resulting volume contains the 8 papers presented at the meeting, along with 5 additional papers which offer further insight into the topics raised there. It also contains a significant contribution from the NATO-funded "Grubstake Group", which was set up in 1988 to promote formalism in software measurement. The volume has been designed to reflect 4 different formal aspects of measurement: section 1 discusses principles of measurement; section 2 looks at how these principles are reflected in the design and implementation of actual measurements; section 3 deals with measurement validation and verification; and section 4 discusses the mathematical and logical foundations, which are an underlying theme in all the preceding sections. Among the actual topics covered are: Software measurement - Why a formal approach?; Complexity measures on trees; Multi-dimensional software metrics; Algebraic models and metric validation; Properties of software measures; Specifying internal, external and predictive software metrics: and Measurement theory and software metrics. Formal Aspects of Measurement provides a snapshot of recent research in this increasingly important field. It will be invaluable to postgraduate students, and researchers in formal and mathematical methods. |

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### Contents

Why a Formal Approach? | 3 |

Never Mind the Metrics What About the Numbers | 28 |

Deriving Measures of Software Reuse in Object Oriented | 63 |

Copyright | |

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### Common terms and phrases

abstraction admissible transformations analysis answer set approach attribute grammar axioms BALT Bieman binary operation BSEQ COCOMO complexity measure complexity metric components Computer concatenation operations control flow cost cyclomatic complexity decomposition tree defined definition descriptor document type set empirical relation system entities evaluation example exists external attributes Fan-in Fenton Figure formal function graph indirect internal software metric leveraged reuse lexical analysis mapping McCabe's measurement theory Melton model instances model type module number of nodes number of test object oriented order-preserving ordinal scale parsing partial order Prather predictive software metric prime flowgraph Production Semantic Rules properties ratio scale real numbers recursive reliability reuse measures scale type Section sequence server software complexity measures software document software engineering software measurement software metrics software production source code specification statistics stop node structural metrics subclass Theorem validation variable Weyuker Whitty