Concurrent transition system semantics of process networks

  • Authors:
  • E. W. Stark

  • Affiliations:
  • State University of New York at Stony Brook, Stony Brook, NY

  • Venue:
  • POPL '87 Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
  • Year:
  • 1987

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Abstract

Using concurrent transition systems [Sta86], we establish connections between three models of concurrent process networks, Kahn functions, input/output automata, and labeled processes. For each model, we define three kinds of algebraic operations on processes: the product operation, abstraction operations, and connection operations. We obtain homomorphic mappings, from input/output automata to labeled processes, and from a subalgebra (called “input/output processes”) of labeled processes to Kahn functions. The proof that the latter mapping preserves connection operations amounts to a new proof of the “Kahn Principle.” Our approach yields: (1) extremely simple definitions of the process operations; (2) a simple and natural proof of the Kahn Principle that does not require the use of “strategies” or “scheduling arguments”; (3) a semantic characterization of a large class of labeled processes for which the Kahn Principle is valid, (4) a convenient operational semantics for nondeterminate process networks.