Certification of Compiler Optimizations Using Kleene Algebra with Tests

  • Dexter Kozen
  • Maria-Cristina Patron
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1861)


We use Kleene algebra with tests to verify a wide assortment of common compiler optimizations, including dead code elimination, common subexpression elimination, copy propagation, loop hoisting, induction variable elimination, instruction scheduling, algebraic simplification, loop unrolling, elimination of redundant instructions, array bounds check elimination, and introduction of sentinels. In each of these cases, we give a formal equational proof of the correctness of the optimizing transformation.


Code Transformation Compiler Optimization Propositional Dynamic Logic Program Fragment Loop Unroll 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Dexter Kozen
    • 1
  • Maria-Cristina Patron
    • 2
  1. 1.Computer Science DepartmentCornell UniversityIthacaUSA
  2. 2.Center for Applied MathematicsCornell UniversityIthacaUSA

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