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Understanding Automatic Program Verifiers: Leveraging Variant Functions and Termination Proofs

Learn the key concepts of variant functions and termination proofs in automatic program verification, essential for ensuring program correctness and reliability. Explore practical applications and demo examples.

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Understanding Automatic Program Verifiers: Leveraging Variant Functions and Termination Proofs

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  1. Using and Building an Automatic Program Verifier K. Rustan M. Leino Research in Software Engineering (RiSE) Microsoft Research, Redmond Lecture 2 LASER Summer School 2011 Elba, Italy 7 September 2011

  2. Termination • A variant function is an expression whose values goes down (in some well-founded ordering) with every iteration/call At the time of the call, the callee’s variant function must be less than the caller’s while (B){ S;} method M(){ P();} At the time a loop back-edge is taken, the value of the variant function must be less than at the beginning of the iteration

  3. Proving termination demo Termination

  4. Motivation for using lemmas demo FindZero

  5. Lemmas, induction demo Gauss2

  6. Exercises • McCarthy • http://rise4fun.com/Dafny/6bq • Coincidence • http://rise4fun.com/Dafny/WvG • Saddleback search • http://rise4fun.com/Dafny/U5h • Max is transitive • http://rise4fun.com/Dafny/z9J • Reverse-Reverse • http://rise4fun.com/Dafny/1g

  7. Links • Dafny • research.microsoft.com/dafny • rise4fun.com/Dafny/tutorial/guide • rise4fun • rise4fun.com • Verification Corner • research.microsoft.com/verificationcorner

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