The Shuffle on Trajectories of Infinite Arrays

The Shuffle on Trajectories of Infinite Arrays

Devi Velayutham

Department of Mathematics, Hindustan College of Arts and Science, India

Abstract: In this paper authors study and investigate the shuffle on trajectories on infinite array languages. Like finite array languages this approach is applicable to concurrency providing a method to define parallel composition of processes. It is also applicable to parallel computation. The operations are introduced using a uniform method based on the notion of ww-trajectory. Authors introduce an Array Grammar with Shuffle on Trajectories (AGST) and compare it with other array grammars for generative poauthorsr. Authors prove closure properties for different classes of array languages with respect to the shuffle on trajectories.

Keywords: Büchi two-dimensional online tessellation automaton, ww-trajectory, ww-recognizable array language, column shuffle ww-recognizable array language.

Received April 16, 2015; accepted May 22, 2016 
 
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