English

Modelling Concurrency with Comtraces and Generalized Comtraces

Logic in Computer Science 2011-09-01 v5 Distributed, Parallel, and Cluster Computing Formal Languages and Automata Theory

Abstract

Comtraces (combined traces) are extensions of Mazurkiewicz traces that can model the "not later than" relationship. In this paper, we first introduce the novel notion of generalized comtraces, extensions of comtraces that can additionally model the "non-simultaneously" relationship. Then we study some basic algebraic properties and canonical reprentations of comtraces and generalized comtraces. Finally we analyze the relationship between generalized comtraces and generalized stratified order structures. The major technical contribution of this paper is a proof showing that generalized comtraces can be represented by generalized stratified order structures.

Keywords

Cite

@article{arxiv.0907.1722,
  title  = {Modelling Concurrency with Comtraces and Generalized Comtraces},
  author = {Ryszard Janicki and Dai Tri Man Le},
  journal= {arXiv preprint arXiv:0907.1722},
  year   = {2011}
}

Comments

49 pages

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