Arthur Charlesworth IPC-TR-90-007 November 30, 1990 Institute for Parallel...  Home/Search
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Abstract: A necessary and sufficient condition for the associativity of a function is given, in terms of a particular relation being a function. The concept of an associative function is generalized to the concept of a function being associative relative to a sequence and a characterization of such relative associativity is also given. These two characterizations are applied to the problem of proving the associativity, or relative associativity, of a function. Categories and Subject Descriptors:... (Update)
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...defined in the true branch of the if in Figure 4. The results stated in this paragraph as well as the next two theorems are proven in [Cha90b]. 21 RELATIVE ASSOCIATIVITY CHARACTERIZATION THEOREM. Let u be a nonnull finite sequence of elements of a set E, let f be a function...
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BibTeX entry: (Update)
Charlesworth, A. A characterization of associativity, Tech. Rep. IPC-TR-90-007, Inst. for Parallel Computation, U. of Virginia, Charlottesville, Nov. 1990. http://citeseer.ist.psu.edu/charlesworth90characterization.html More
@techreport{ charlesworth90characterization,
author = "Arthur Charlesworth",
title = "A Characterization of Associativity",
number = "IPC-90-07",
year = "1990",
url = "citeseer.ist.psu.edu/charlesworth90characterization.html" }
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