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Progressive generation of parallel solutions for formally specified problems

1995
Conference paper
Abstract

In this paper we show a progressive way for managing abstract algebraic specifications in order to obtain efficient parallel or distributed algorithms. Our approach is based on TSPP technique (Transformations de Sp cifications de probl mes orient es vers le Parall lisme et le Probabilisme). We claim that the process of transformation of specifications can be done, in many cases, automatically in direction from a high level of abstraction to concrete one using a sequence of derivation steps. The resulting specification, obtained by such a transformation process, is then well suited for execution on target parallel machine. Further we shortly describe the SANDS system (Structured Algebraic Nets Development System) and the TTool - transformation tool package which was developed for performing transformations on specifications. To illustrate the TSPP technique we present here an example developed in SANDS system environment by application of TTool. Finally we discuss the obtained speedup of execution such a derived specification on parallel machine with various number of processors.

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Related concepts (31)
Parallel algorithm
In computer science, a parallel algorithm, as opposed to a traditional serial algorithm, is an algorithm which can do multiple operations in a given time. It has been a tradition of computer science to describe serial algorithms in abstract machine models, often the one known as random-access machine. Similarly, many computer science researchers have used a so-called parallel random-access machine (PRAM) as a parallel abstract machine (shared-memory).
Parallel text
A parallel text is a text placed alongside its translation or translations. Parallel text alignment is the identification of the corresponding sentences in both halves of the parallel text. The Loeb Classical Library and the Clay Sanskrit Library are two examples of dual-language series of texts. Reference Bibles may contain the original languages and a translation, or several translations by themselves, for ease of comparison and study; Origen's Hexapla (Greek for "sixfold") placed six versions of the Old Testament side by side.
Formal specification
In computer science, formal specifications are mathematically based techniques whose purpose are to help with the implementation of systems and software. They are used to describe a system, to analyze its behavior, and to aid in its design by verifying key properties of interest through rigorous and effective reasoning tools. These specifications are formal in the sense that they have a syntax, their semantics fall within one domain, and they are able to be used to infer useful information.
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