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Content Provider | ACM Digital Library |
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Author | Monniaux, David Gonnord, Laure Radanne, Gabriel |
Abstract | We present a complete method for synthesizing lexicographic linear ranking functions (and thus proving termination), supported by inductive invariants, in the case where the transition relation of the program includes disjunctions and existentials (large block encoding of control flow). Previous work would either synthesize a ranking function at every basic block head, not just loop headers, which reduces the scope of programs that may be proved to be terminating, or expand large block transitions including tests into (exponentially many) elementary transitions, prior to computing the ranking function, resulting in a very large global constraint system. In contrast, our algorithm incrementally refines a global linear constraint system according to extremal counterexamples: only constraints that exclude spurious solutions are included. Experiments with our tool Termite show marked performance and scalability improvements compared to other systems. . |
Starting Page | 608 |
Ending Page | 618 |
Page Count | 11 |
File Format | |
ISBN | 9781450334686 |
DOI | 10.1145/2737924.2737976 |
Language | English |
Publisher | Association for Computing Machinery (ACM) |
Publisher Date | 2015-06-03 |
Publisher Place | New York |
Access Restriction | Subscribed |
Subject Keyword | Termite Counterexample guided refinement Static analysis Synthesis of ranking functions Termination |
Content Type | Text |
Resource Type | Article |
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