Syntactic and semantic aspects of parallelism

  • Alexandru Mateescu
  • Grzegorz Rozenberg
  • Arto Salomaa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1337)


We define and investigate new methods for the parallel composition of words and languages. The operation of parallel composition leads to new shuffle-like operations defined by syntactic constraints on the usual shuffle operation. The approach is applicable to concurrency, providing a method to define the parallel composition of processes. It is also applicable to parallel computation.

The syntactic constraints are introduced using a uniform method based on the notion of a trajectory. We obtain in a natural way a large class of semirings.

The approach is amazingly flexible. Diverse concepts from the theory of concurrency can be introduced and studied in this framework. For instance, we provide examples of applications to the fairness property and parallelization of non-context-free languages in terms of context-free and even regular languages.

Semantic constraints mean constraints applied to the symbols (atomic actions) that occur inside of processes. Such constraints provide methods to define the parallel composition of processes that have critical sections, priorities or re-entrant routines. They are also applicable for modelling the communication between processes.


Critical Section Regular Language Finite Automaton Parallel Composition Semantic Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Alexandru Mateescu
    • 1
    • 2
  • Grzegorz Rozenberg
    • 3
  • Arto Salomaa
    • 4
  1. 1.Turku Centre for Computer ScienceTurkuFinland
  2. 2.Department of MathematicsUniversity of BucharestRomania
  3. 3.Department of Computer ScienceLeiden UniversityRA LeidenThe Netherlands
  4. 4.Academy of Finland and Department of MathematicsUniversity of TurkuTurkuFinland

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