By T. H. Tse

ISBN-10: 0511569890

ISBN-13: 9780511569890

ISBN-10: 0521117879

ISBN-13: 9780521117876

ISBN-10: 0521391962

ISBN-13: 9780521391962

Established methodologies are a well-liked and robust device in info structures improvement. many various ones exist, each one utilising a few versions and so a specification needs to be switched over from one shape to a different in the course of the improvement method. to unravel this challenge, Dr. Tse proposes a unifying framework at the back of renowned dependent types. He techniques the matter from the viewpoints of algebra and class concept. He not just develops the frameworks but in addition illustrates their useful and theoretical usefulness. therefore, this e-book will offer perception for software program engineers into how methodologies will be formalized, and may open up a number purposes and difficulties for theoretical laptop scientists.

**Read or Download A Unifying Framework for Structured Analysis and Design Models: An Approach Using Initial Algebra Semantics and Category Theory PDF**

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**Additional resources for A Unifying Framework for Structured Analysis and Design Models: An Approach Using Initial Algebra Semantics and Category Theory**

**Sample text**

Furthermore, deficiencies have been reported on the friendliness of user-interface and on the performance of the analysis and simulation tools in SREM (Scheffer et al. 1985). 1. Our current project of providing a unifying framework for the structured models is also listed side by side for comparison. In most of the work examined, researchers have seen the need to propose a formal basis for information systems development. They have proposed the use of graphics in most cases (except ADS/SODA), to be supplemented by textual languages for defining details (except in the case of SAMM/SIGS).

2 Algebras 41 The advantage of the algebraic concept lies in the fact that we map the same sort to another carrier ^boolean, which can be the set of strings containing " 7 " , " F " , " - i " , " A " and " v " . The operation symbols can then be mapped to another set of operations. Thus, for any t and t' in B, . , we have: Let us now apply these algebraic fundamentals to structured systems. Conceptually, a structured system is specified by a hierarchy of tasks. Each task consists of the name of a main process, its underlying structure, together with the overall input and output which we shall call events.

3 The algebra X is initial over the signature £. Proof: Let A be any algebra over the signature E. We need to prove that there exists a unique homomorphism h mapping X to A. , 7-I. sn,s that max{ir) h(tn)). r s r = 7 - 1 . , Obviously A is a homomorphism. Let k be any homomorphism from X to A. By definition, it has the following two properties: (kl) For any symbol a in E A , k(ax) = a , . , k(tn)) We note that (kl) is equivalent to (/zl) because cx in (/:1) is in fact the term " a " in (hi). , t ) in (k2) is in fact the term t in (/z2).

### A Unifying Framework for Structured Analysis and Design Models: An Approach Using Initial Algebra Semantics and Category Theory by T. H. Tse

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