By Dines Bjørner
The artwork, craft, self-discipline, common sense, perform and technology of constructing large-scale software program items wishes a certified base. The textbooks during this three-volume set mix casual, engineeringly sound techniques with the rigor of formal, mathematics-based ways. This quantity covers the elemental ideas and strategies of specifying platforms and languages. It bargains with modelling the semiotics (pragmatics, semantics and syntax of structures and languages), modelling spatial and easy temporal phenomena, and such really good subject matters as modularity (incl. UML category diagrams), Petri nets, dwell series charts, statecharts, and temporal logics, together with the period calculus. eventually, the booklet provides ideas for interpreter and compiler improvement of practical, important, modular and parallel programming languages. This ebook is concentrated at overdue undergraduate to early graduate collage scholars, and researchers of programming methodologies. Vol. 1 of this sequence is a prerequisite textual content.
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For sorts we may want to postulate some functions: . Sorts and Function Signatures type A, B, C value obs_B: A -> B, . 3 An RSL Primer 23 obs_C: A ->• C, gen_A: BxC ->• A Function Definitions We refer the reader to Vol. 1, Chap. 11, Sects. 2-6. Functions can be defined explicitly: Explicit Function Definitions value f:AxBxC-*D f(a,b,c) = Value_Expr g: B-infset x (D ^ C-set) -4- A* g(bs,dm) = Value_Expr pre "P(bs,dm) comment: a, b, c, bs and dm are parameters of appropriate types or implicitly: .
2 Formal Techniques "Lite" Although we shall broach the subject on several occasions throughout this volume, when we cover formal techniques we shall exclusively cover formal specification, not formal proofs of properties of specifications. That may surprise the reader. , formal specifications, is that they allow formal verification. So why do we not cover formal verification? First, we use, and propagate The qualitative aspects of concurrency are expressible when using the Petri Nets, the Message and Live Sequence Charts and the Statecharts.
Chap. 12 of Vol. 1, in particular, surveyed these abstraction and modelling approaches. In these volumes we strive to bring to the readers what we consider the main principles, techniques and tools for methodological software development. In the present part we shall further identify numerous principles and techniques. Most of these, as were some of the previous, are presented for the first time in textbook form. Please take time to study them carefully. Please think about them as you proceed into your daily software development.