THE STATIC ANALYSIS OF LINEAR LOOPS

dc.contributor.authorTarasich, Y.
dc.contributor.authorLvov, M.
dc.contributor.authorТарасіч, Ю. Г.
dc.contributor.authorЛьвов, М. С.
dc.date.accessioned2017-10-24T11:44:09Z
dc.date.available2017-10-24T11:44:09Z
dc.date.issued2015
dc.descriptionTarasich, Y. The Static Analysis of Linear Loops / M. Lvov, Y. Tarasich // ICTERI. – 2015. – С. 366-381. - http:// ceur-ws. org/Vol-1356/paper_79. pdf.uk_UA
dc.description.abstractIn the first part of the paper, we consider the problem of generation of polynomial invariants of iterative loops with operator of initialization of loop and non-singular linear operator in the loop body. In the article we also show the algorithm for calculating the basic invariants for linear operator of the Jordan cell, and an algorithm for calculating the basic invariants of diagonalizable linear operator with an irreducible minimal characteristic polynomial. The second part presents a new method for proving the invariance of the system of linear inequalities and of termination of certain linear iterative loops of imperative programs whose data are elements of the constructive linearly ordered field. The theoretical material of the paper is illustrated by examples
dc.identifier.urihttp://ekhsuir.kspu.edu/handle/123456789/4078
dc.subjectStatic program analysis
dc.subjectpolynomial invariant of a loop
dc.subjectinvariant system of linear inequalities
dc.subjecteigenpolynomial of a linear operator
dc.titleTHE STATIC ANALYSIS OF LINEAR LOOPSuk_UA
dc.typeArticleuk_UA

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