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Signature-Based Method of Deciding Program Termination

In: Computer Mathematics

Author

Listed:
  • Yaohui Li

    (Tianjin University of Technology and Education, Department of Computer Science)

  • Yuqing Song

    (Tianjin University of Technology and Education, Department of Computer Science)

  • Zhifeng Wu

    (Tianjin University of Technology and Education, Department of Computer Science)

Abstract

We present a method based on the discriminant sequence and Gröbner bases to verify the termination of a class of linear program. This method relates the program termination to the existence of real zeros of polynomial system with constraint conditions. To avoid the wrong determination due to approximate computation, we use Gröbner bases and revised sign list to count sign changes of characteristic polynomial of a trace matrix. This method need not solve the equations of polynomial system but count the number of real zeros which satisfy the constraint condition by using symbolic computation. The number of real zeros of polynomial in the linear program can always be computed correctly. Therefore, the termination of the program can be decided accurately.

Suggested Citation

  • Yaohui Li & Yuqing Song & Zhifeng Wu, 2014. "Signature-Based Method of Deciding Program Termination," Springer Books, in: Ruyong Feng & Wen-shin Lee & Yosuke Sato (ed.), Computer Mathematics, edition 127, pages 297-310, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-43799-5_22
    DOI: 10.1007/978-3-662-43799-5_22
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