Gauss: A Framework for Verifying Scientific Computing Software

  • Authors:
  • Robert Palmer;Steve Barrus;Yu Yang;Ganesh Gopalakrishnan;Robert M. Kirby

  • Affiliations:
  • School of Computing, The University of Utah, Salt Lake City, Utah;School of Computing, The University of Utah, Salt Lake City, Utah;School of Computing, The University of Utah, Salt Lake City, Utah;School of Computing, The University of Utah, Salt Lake City, Utah;School of Computing, The University of Utah, Salt Lake City, Utah

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2006

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Abstract

High performance scientific computing software is of critical international importance as it supports scientific explorations and engineering. Software development in this area is highly challenging owing to the use of parallel/distributed programming methods and complex communication and synchronization libraries. There is very little use of formal methods to debug software in this area, given that the scientific computing community and the formal methods community have not traditionally worked together. The Utah Gauss project combines expertise from scientific computing and formal methods in addressing this problem. We currently focus on MPI programs which are the kind that run on over 60% of world's supercomputers. These are programs written in C / C++ / FORTRAN employing message passing concurrency supported by the Message Passing Interface (MPI) library. Large-scale MPI programs also employ shared memory threads to manage concurrency within smaller task sub-groups, capitalizing on the recent availability of small-scale (e.g. single-chip) shared memory multiprocessors; such mixed programming styles can result in additional bugs. MPI libraries themselves can be buggy as they strive to implement complex requirements employing aggressive techniques such as multi-threading. We have built a model extractor that extracts from MPI C programs a formal model consisting of communicating processes represented in Microsoft's Zing modeling language. MPI library functions are also being modeled in Zing. This allows us to run formal analysis on the models to detect bugs in the MPI programs being analyzed. Our preliminary results and future plans are described; in addition, our contribution is to expose the special needs of this area and suggest specific avenues for problem- driven advances in software model-checking applied to scientific computing software development and verification.