Abstract
Besides the Church-Rosser property (here called full), three other commutativity properties of transformations (the mutual, inner and strong Church-Rosser property) are also defined, which are less restrictive than the first. These properties are used to decide:
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1)
when and how the rules belonging to the same loop can be applied in parallel
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2)
when a rule can be eliminated
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3)
when a rule can be removed from a loop.
The transformations of algorithms our methods yield are particularly significant in that they depend only on the semantics of the original algorithm, i.e., the input-output relations.
To perform the parallelization (point 1), a new model of structured programming language is used, sufficiently general to ensure that every program can be automatically translated into a structured one.
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Dezani-Ciancaglini, M., Zacchi, M. (1974). Application of Church-Rosser Properties to Increase the Parallelism and Efficiency of Algorithms. In: Loeckx, J. (eds) Automata, Languages and Programming. ICALP 1974. Lecture Notes in Computer Science, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21545-6_12
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DOI: https://doi.org/10.1007/978-3-662-21545-6_12
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