Modular Termination Proofs of Recursive Java Bytecode Programs by Term Rewriting

Abstract

In [5, 15] we presented an approach to prove termination of non-recursive Java Bytecode (JBC) programs automatically. Here, JBC programs are first transformed to finite termination graphs which represent all possible runs of the program. Afterwards, the termination graphs are translated to term rewrite systems (TRSs) such that termination of the resulting TRSs implies termination of the original JBC programs. So in this way, existing techniques and tools from term rewriting can be used to prove termination of JBC automatically. In this paper, we improve this approach substantially in two ways: (1) We extend it in order to also analyze recursive JBC programs. To this end, one has to represent call stacks of arbitrary size. (2) To handle JBC programs with several methods, we modularize our approach in order to reuse termination graphs and TRSs for the separate methods and to prove termination of the resulting TRS in a modular way. We implemented our approach in the tool AProVE. Our experiments show that the new contributions increase the power of termination analysis for JBC significantly. 1998 ACM Subject Classification D.1.5 - Object-oriented Programming, D.2.4 - Software/Program Verification, D.3.3 - Language Constructs and Features, F.3 - Logics and Meanings of Programs, F.4.2 - Grammars and Other Rewriting Systems, I.2.2 - Automatic Programming