A straightforward denotational semantics for non-determinate data flow programs
POPL '78 Proceedings of the 5th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
On the composition of processes
POPL '82 Proceedings of the 9th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Scenarios: A Model of Non-Determinate Computation
Proceedings of the International Colloquium on Formalization of Programming Concepts
A refinement of Kahn's semantics to handle non-determinism and communication (Extended Abstract)
PODC '82 Proceedings of the first ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Concurrent transition system semantics of process networks
POPL '87 Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
A fully abstract trace model for dataflow networks
POPL '89 Proceedings of the 16th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
A relational model of non-deterministic dataflow
Mathematical Structures in Computer Science
A fully abstract trace model for dataflow and asynchronous networks
Distributed Computing
Fairness, Resources, and Separation
Electronic Notes in Theoretical Computer Science (ENTCS)
Fundamenta Informaticae
CARTESIAN STREAM TRANSFORMER COMPOSITION
Fundamenta Informaticae
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Criteria for adequacy of a data flow semantics are discussed and Kahn's successful semantics for functional (deterministic) data flow is reviewed. Problems arising from nondeterminism are introduced and the paper's approach to overcoming them is introduced. The approach is based on generalizing the notion of input-output relation, essentially to a partially ordered multiset of input-output histories. The Brock-Ackerman anomalies concerning the input-output relation model of nondeterministic data flow are reviewed, and it is indicated how the proposed approach avoids them. A new anomaly is introduced to motivate the use of multisets. A formal theory of asynchronous processes is then developed. The main result is that the operation of forming a process from a network of component processes is associative. This result shows that the approach is not subject to anomalies such as that of Brock and Ackerman.