Parallel Substitution Algorithm: Theory And Application

Parallel Substitution Algorithm: Theory And Application book cover

Parallel Substitution Algorithm: Theory And Application

Author(s): S Achasova (Author), O Bandman (Author), V Markova (Author), S Piskunov (Author)

  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication Date: 1 Aug. 1994
  • Language: English
  • Print length: 232 pages
  • ISBN-10: 9789810217778
  • ISBN-13: 9810217773

Book Description

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.

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