The Essence of Parallel Algol

  • Stephen Brookes
Part of the Progress in Theoretical Computer Science book series (PTCS)


We consider a parallel Algol-like language, combining the λ-calculus with shared-variable parallelism. We provide a denotational semantics for this language, simultaneously adapting the possible-worlds model of Reynolds and Oles [Rey81, 01e82] to the parallel setting and generalizing the “transition traces” model of [Bro93] to the procedural setting. This semantics supports reasoning about safety and liveness properties of parallel programs, and validates a number of natural laws of program equivalence based on non-interference properties of local variables.


Natural Transformation Complete Lattice Parallel Setting Liveness Property Type Judgement 
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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© Springer Science+Business Media New York 1997

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  • Stephen Brookes

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