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In this paper, we consider the termination problems about uninitialized and initialized two variable homogeneous linear loops. Through analysing the properties of the boundaries of the set NT composed of all points on which a given uninitialized two variable homogeneous linear loop does not terminate, we reconstruct a group of simpler and complete quantified formulas to check whether a given uninitialized...
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...
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