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Towards a Theory of Local and Global in Computation

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dc.creator Abelson, Harold
dc.date 2004-10-01T20:33:34Z
dc.date 2004-10-01T20:33:34Z
dc.date 1977-09-01
dc.date.accessioned 2013-10-09T02:41:02Z
dc.date.available 2013-10-09T02:41:02Z
dc.date.issued 2013-10-09
dc.identifier AIM-442
dc.identifier http://hdl.handle.net/1721.1/5743
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We formulate the rudiments of a method for assessing the difficulty of dividing a computational problem into "independent simpler parts." This work illustrates measures of complexity which attempt to capture the distinction between "local" and "global" computational problems. One such measure is the covering multiplicity, or average number of partial computations which take account of a given piece of data. Another measure reflects the intuitive notion of a "highly interconnected" computational problem, for which subsets of the data cannot be processed "in isolation." These ideas are applied in the setting of computational geometry to show that the connectivity predicate has unbounded convering multiplicity and is highly interconnected; and in the setting of numerical computations to measure the complexity of evaluating polynomials and solving systems of linear equations.
dc.format 43 p.
dc.format 11377128 bytes
dc.format 8634466 bytes
dc.format application/postscript
dc.format application/pdf
dc.language en_US
dc.relation AIM-442
dc.title Towards a Theory of Local and Global in Computation


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