Inferring Min and Max Invariants Using Max-Plus Polyhedra

نویسندگان

  • Xavier Allamigeon
  • Stéphane Gaubert
  • Eric Goubault
چکیده

We introduce a new numerical abstract domain able to infer min and max invariants over the program variables, based on max-plus polyhedra. Our abstraction is more precise than octagons, and allows to express non-convex properties without any disjunctive representations. We have defined sound abstract operators, evaluated their complexity, and implemented them in a static analyzer. It is able to automatically compute precise properties on numerical and memory manipulating programs such as algorithms on strings and arrays.

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تاریخ انتشار 2008