Parallel Substitution Algorithm: Theory and Application - O. Bandman
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Présentation Parallel Substitution Algorithm: Theory And Application de O. Bandman Format Relié
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Résumé :
Parallel Substitution Algorithm (PSA) is a new model for distributed (cellular) computations. It provides a concise mapping of distributed computation processes into cellular arrays. A PSA is specified by a set of parallel substitutions operating over a cellular array.Two concepts make PSA a powerful tool for modelling cellular computations: 1) naming functions which allow the specification of any type of interactions in the computation space, 2) a context which serves to represent control of a computational process in time.The foundation of PSA theory comprises validity conditions of computations in the synchronous and asynchronous modes, space-time, space-space (2D ⇒ 3D) and global-local equivalent transformations of PSAs, composition and decomposition of PSAs and interpretation of PSAs with automata nets.On the basis of the PSA theory, a variety of tools and techniques is developed for designing algorithmic-oriented cellular VLSI and optical architectures.
Sommaire:
Part 1 Parallel Substitution Algorithm: Basic Notions and Definitions; PSA Subclasses and Extensions; Interpretation of Parallel Microprograms by Automata Nets. Part 2 Validity of Parallel Microprograms: Synchronous and Asynchronous Modes of Execution of Parallel Microprograms; Validity Conditions of Parallel Microprograms; Correctness of Parallel Microprograms with Microinstructions of Various Execution Times; Part 3 Asynchronous Composition of Parallel Substitution Algorithms: Two Types of Parallel Asynchronous Composition; Validity of Asynchronous Composition of PSAs; Constructing of a Composed PSA. Part 4 Equivalent Transformations of a PSA: 2D fi 3D PSA Transformation; Synchronous-Asynchronous Transformation of a PSA; Space-Time Transformation of a PSA. Part 5 PSA Application to Cellular Architecture Design: Computer Simulation of Cellular Computations; Parallel Microprograms and Architectures of 2D Cellular Processors; Parallel Microprograms and Architectures of 3D Cellular Processors.
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