Accession Number:

AD1007831

Title:

Equational Verification of Cache Blocking in LU Decomposition using Kleene Algebra with Tests

Descriptive Note:

Technical Report

Corporate Author:

Cornell University Ithaca

Personal Author(s):

Report Date:

2002-06-13

Pagination or Media Count:

15.0

Abstract:

In a recent paper of Mateev et al. 2001, a new technique for program analysis called fractal symbolic analysis was introduced and applied to verify the correctness of a series of source-level transformations for cache blocking in LU decomposition with partial pivoting. It was argued in that paper that traditional techniques are inadequate because the transformations break definition-use dependencies. We show how the task can be accomplished purely equationally using Kleene algebra with tests.

Subject Categories:

  • Theoretical Mathematics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE