1. Modelling concurrency with comtraces and generalized comtraces
- Author
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Janicki, Ryszard and Lê, Dai Tri Man
- Subjects
- *
MATHEMATICAL models , *REPRESENTATIONS of algebras , *MONOIDS , *MATHEMATICAL sequences , *MATHEMATICAL analysis , *COMPUTATIONAL mathematics - Abstract
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 representations 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. [Copyright &y& Elsevier]
- Published
- 2011
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