Imperial College London > Talks@ee.imperial > CAS Talks > Integer Point Counting Techniques for Polyhedra

Integer Point Counting Techniques for Polyhedra

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If you have a question about this talk, please contact Grigorios Mingas.

Polyhedra are commonly used as an abstraction in compilers to represent bounded sets of operations. As an example, many loop nests in software programs have loop bounds which are independent of the program’s input data which means the loop iterations can be expressed as the integer points which lie within a Polyhedra. In evaluating the impact of loop transformations, we often ask the questions ”How Many?” or ”How Much?” and in this talk, we’ll explain existing analytical techniques for counting the number of integer points enclosed by a polyhedra and suggest how those techniques might be used in static code analysis.

This talk is part of the CAS Talks series.

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