New PDF release: Compositionality, Concurrency and Partial Correctness: Proof

By Job Zwiers

ISBN-10: 3540461019

ISBN-13: 9783540461012

ISBN-10: 3540508457

ISBN-13: 9783540508458

The hierarchical decomposition of courses into smaller ones is usually thought of principal to grasp the complexity of huge courses. The influence of this precept of application decomposition at the specification and verification of parallel performed courses is the topic of this monograph. vital yardsticks for verification tools, these of compositionality and modularity, are made targeted. the matter of reusing software program is addressed by way of the advent of the idea of specification variation. inside this context, various tools for specifying the observable habit with admire to partial correctness of speaking procedures are thought of, and specifically the distinction among the "programs are predicates" and the "programs are predicate transformers" paradigms is proven. The linked formal facts structures are confirmed sound and whole in quite a few senses with appreciate to the denotational semantics of the programming language, and they're with regards to one another to provide an in-depth comparability among the various forms of application verification. The programming language TNP used this is with reference to genuine languages like Occam. It combines CCS/CSP variety conversation dependent programming with nation dependent programming, and permits dynamically increasing and shrinking networks of processes.

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We are not satisfied with this specification for the following reason. Its precondition does not hold at those m o m e n t s where the inner recursive calls of the Bag process start executing. So the given specification, although it correctly specifies the desired process behavior, will not fit into the correctness proof t h a t we have in mind. As is not unusual with induction proofs, we can only prove a stronger specification. An Invariant specification can be made stronger by weakening its precondition, and by strengthening its postcondition and invariant.

X ; (Bur II Bag(down/insert, up/getrnin} )\ {up, down, isernpty} ; Bag )\{x} To do so, we need verification principles for the channel and variable hiding constructs. Now these are fairly simple: if a process satisfies a certain assertion X, and the assertion does not refer to some channel c or variable x, then the assertion remains valid after we hide this channel or variable. It will be clear t h a t in general such specifications can be obtained only by using appropriate projections of the communication history.

In contrast with the languages CCS and TCSP, T N P includes the concept of program states. x:b. Assignable variables x need not to be "declared". However, they can be made local to a process by means of the 50 C H A P T E R 2. THE LANG UAGES D N P AND T N P . hiding construct Sl\X. This hiding construct is analogous to the block construct in combination with variable declarations for ALGOL like languages. It differs from these block constructs in t h a t initialization problems have been circumvented by assuming t h a t no state change takes place at all on entry of the scope of the hiding operator \ x .

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Compositionality, Concurrency and Partial Correctness: Proof Theories for Networks of Processes, and Their Relationship by Job Zwiers

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