By T. H. Tse
Dependent methodologies are a well-liked and strong instrument in info structures improvement. many alternative ones exist, each one using a couple of versions and so a specification has to be switched over from one shape to a different through the improvement strategy. to resolve this challenge, Dr. Tse proposes a unifying framework in the back of well known dependent versions. He ways the matter from the viewpoints of algebra and classification conception. He not just develops the frameworks but in addition illustrates their sensible and theoretical usefulness. hence, this booklet will offer perception for software program engineers into how methodologies should be formalized, and should open up more than a few purposes and difficulties for theoretical machine scientists.
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Additional info for A Unifying Framework for Structured Analysis and Design Models: An Approach Using Initial Algebra Semantics and Category Theory
File and process design is supported by most of the development environments, although optimization is not considered in most cases. Since most of these environments started off with formal frameworks, they involve newly invented languages and result in a psychological distance between users and the development tools. Projects such as PSL/PSA have recognized the deficiency and 32 Chapter 3 A Comparison with Related Work have enhanced their systems to allow for interface with more popular tools such as the structured methodologies.
Let iA and iR be the identity functions on the algebras A and B, respectively. That is to say, for any x in A and y in B, iA(x) = x and iB(y) = y. 3 Initial Algebras 47 k: B —> C are two homomorphisms. Let k o h: A -> C denote the composite function. In other words, for any x in A, k o h(x) = k(h(x)). A homomorphism h: A -> B is defined as an isomorphism if and only if there exists a homomorphism /:: B -> A such that k o h = /\ and h o k = iB. In this case we write £ = A"1. Two algebras A and B over the same signature are said to be isomorphic to each other if and only if there exists an isomorphism h: A —> B.
Various analyses can be performed on the SAMM model input to the SIGS. 6 An Overview of SIGS specification. Syntactic consistency is further verified by checking the connectivity and reachability of the graph structure in the activity diagram. Diagnostic reports and documentation of selected subsets of the model can be generated by using the report generation facility. The language used in SAMM has many of the desirable features of a systems specification language, such as graphical representation, multi-level refinement and machine processability.
A Unifying Framework for Structured Analysis and Design Models: An Approach Using Initial Algebra Semantics and Category Theory by T. H. Tse