Recent Trends in Algebraic Development Techniques: 14th by Joachim van den Berg, Marieke Huisman, Bart Jacobs, Erik

By Joachim van den Berg, Marieke Huisman, Bart Jacobs, Erik Poll (auth.), Didier Bert, Christine Choppy, Peter D. Mosses (eds.)

This booklet constitutes the completely refereed post-workshop court cases of the 14th foreign Workshop on Algebraic improvement strategies, WADT'99, held in Toulouse, France in September 1999.
The 23 revised complete papers offered including 3 invited papers have been conscientiously reviewed and chosen from sixty nine workshop displays. The papers tackle the subsequent subject matters: algebraic specification and different specification formalisms, try out and validation, concurrent techniques functions, good judgment and validation, combining formalisms, subsorts and partiality, structuring, rewriting, co-algebras and sketches, refinement, associations and different types, and ASM specifications.

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In principle, we have illustrated how to work with two forms of assertions in the specification and verification of communicating systems: • history assertions only refer to the states of the channels (streams of sent messages) and the initial values of the local attributes. • state assertions in addition refer to the input buffers associated with components (the streams of messages on a channel not consumed so far) as well as the values of the local attributes. Of course, history assertions are only a special case of state assertions.

From these, we derive history assertions representing abstract system models. These history assertions are used for reasoning in the large. The paper is structured as follows. Before we start to outline the general approach we introduce the concept of a stream in chapter 2, as well as the notion of a system state in section 3, the concept of a component in section 4, and give a motivating and illustrating example in section 5. Section 6 describes the concept of invariants and their verification.

Extraction of safety properties: For our example above we extract the safety properties and obtain the specification #z ≤ #y ∧ z x † While the history specifications, in general, work also with infinite streams, we can restrict safety formulas to finite streams. 2. Components as State Transition Relations A component may be described and implemented by a state. State machines are described by state transition rules together with an assertion describing the initial states of the machine (cf. [4]).

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