• DocumentCode
    693849
  • Title

    Termination of Two Variable Homogeneous Linear Loops

  • Author

    Yi Li ; Chuancan Li ; Wenyuan Wu ; Yong Feng

  • Author_Institution
    Chongqing Key Lab. of Automated Reasoning & Cognition, CIGIT, Chongqing, China
  • fYear
    2013
  • fDate
    14-16 Nov. 2013
  • Firstpage
    10
  • Lastpage
    13
  • Abstract
    Tiwari gave the quantified formulas to check whether the two variable homogeneous linear loop terminates in 2004. But we find that a certain quantified formula is neglected in Tiwari´s result, which corresponds to a possible case of the set NT of nonterminating points. In this paper, through analysing all possible cases of NT, we reconstruct a group of complete quantified formulas to determine if the two variable homogeneous linear loop terminates.
  • Keywords
    program verification; software reliability; NT; complete quantified formulas; nonterminating points; program verification; quantified formulas; reliable software systems; two variable homogeneous linear loops; Algorithm design and analysis; Cognition; Computers; Security; Software systems; Standards; Vectors; Loop Termination; Program Verification; QEP-CAD; Quantifier Elimination;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Business Intelligence and Financial Engineering (BIFE), 2013 Sixth International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-4799-4778-2
  • Type

    conf

  • DOI
    10.1109/BIFE.2013.3
  • Filename
    6961080