On the linear ranking problem for integer linear-constraint loops
نویسندگان
چکیده
منابع مشابه
A Ranking Functions for Linear-Constraint Loops
In this paper we study the complexity of the problems: given a loop, described by linear constraints over a finite set of variables, is there a linear or lexicographical-linear ranking function for this loop? While existence of such functions implies termination, these problems are not equivalent to termination. When the variables range over the rationals (or reals), it is known that both probl...
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Termination of loops can be inferred from the existence of linear ranking functions. We already know that the existence of these functions is PTIME decidable for simple rational loops. Since very recently, we know that the problem is coNP-complete for simple integer loops. We continue along this path by investigating programs dealing with floating-point computations. First, we show that the pro...
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ژورنال
عنوان ژورنال: ACM SIGPLAN Notices
سال: 2013
ISSN: 0362-1340,1558-1160
DOI: 10.1145/2480359.2429078