Termination Analysis of Integer Linear Loops

Usually, ranking function synthesis and invariant generation oop with integer variables involves abstracting the loop to have real variables. Integer division and modulo arithmetic must be soundly ed away so that the analysis over the abstracted loop is sound for the original loop. Consequently, the analysis loses precision. In contrast, we introduce a technique for handling loops over integer variables directly. The resulting analysis is more precise than previous analyses.

• Type: Conference
• Year: 2005
• Where: CONCUR
• Authors: Aaron R. Bradley, Zohar Manna, Henny B. Sipma
• Keywords: CONCUR 2005, Integer Variables, Invariant Generation Oop, Ranking Function Synthesis