Engineering Theories of Software Intensive Systems: by Ralph-Johan Back (auth.), Manfred Broy, Johannes Grünbauer,

By Ralph-Johan Back (auth.), Manfred Broy, Johannes Grünbauer, David Harel, Tony Hoare (eds.)

Software engineering has through the years been utilized in lots of diverse fields, starting from telecommunications to embedded structures in vehicle and plane in addition to in construction engineering and machine networks. Foundations in software program know-how lie in types permitting to trap software domain names, precise specifications, but additionally to appreciate the constitution and dealing of software program structures like software program architectures and courses. those versions need to be expressed in strategies in keeping with discrete arithmetic, algebra and logics. although, in accordance with the very particular wishes in functions of software program expertise, formal tools need to serve the wishes and the standard of complex software program engineering equipment, specially considering safeguard facets in details know-how. This publication provides mathematical foundations of software program engineering and cutting-edge engineering tools of their theoretical substance within the step in the direction of functional functions to check software program engineering suggestions and foundations used for business tasks.

The contributions during this quantity emerged from lectures of the twenty fifth overseas summer time institution on Engineering Theories of software program extensive structures, held at Marktoberdorf, Germany from August three to August 15, 2004.

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Additional resources for Engineering Theories of Software Intensive Systems: Proceedings of the NATO Advanced Study Institute on Engineering Theories of Software Intensive Systems Marktoberdorf, Germany 3–15 August 2004

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Thus, when we add extension layers to the system, we are forced to prove refinement between larger and larger terms. For S0 S1 ] T0 [S S0 S1 ] T1 [S S0 S1 ]. instance, we have to prove in step 3 that T0 [S If S0 and S1 are non-trivial statements, then this can require proofs involving 37 Incremental Software Construction with Refinement Diagrams very large terms. If these statements in turn call other statements, the terms get even bigger. We therefore need to use more local reasoning and modularize the proof, in order to keep it of manageable complexity.

Lattice Theory. American Mathematical Society, Providence. [Davey and Priestley, 1990] Davey, B. A. and Priestley, H. A. (1990). Introduction to Lattices and Order. Cambridge University Press. [Dijkstra, 1976] Dijkstra, E. W. (1976). A Discipline of Programming. Prentice–Hall International. [Dijkstra and Scholten, 1990] Dijkstra, E. W. and Scholten, C. S. (1990). Predicate Calculus and Program Semantics. Springer–Verlag. [Gardiner and Morgan, 1993] Gardiner, P. H. and Morgan, C. C. (1993). A single complete rule for data refinement.

With every channel c in the channel set I ∪ O we associate a data type Type(c) indicating the type of messages sent along that channel. A data type is in our context simply a data set. Let C be a set of channels with types assigned by the function Type : C → TYPE 50 Here TYPE is a set of types τ ∈ TYPE, which are carrier sets of data elements. Let M be the universe of all messages. This means M = ∪{τ : τ ∈ TYPE} The concept of a stream is used to define the concept of a channel history. A channel history is given by the messages communicated over a channel.

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