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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. Termination.

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Using and building an automatic program verifier

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


Termination
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


Proving termination

Proving termination

demo

Termination



Lemmas induction

Lemmas, induction

demo

Gauss2


Exercises
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


Links
Links

  • Dafny

    • research.microsoft.com/dafny

    • rise4fun.com/Dafny/tutorial/guide

  • rise4fun

    • rise4fun.com

  • Verification Corner

    • research.microsoft.com/verificationcorner


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