Universität Karlsruhe
A Comparison Between Two Formal Correctness Proofs in Isabelle/HOL


[1]Jan Olaf Blech, Sabine Glesner, Johannes Leitner, Steffen MĂĽlling, A Comparison Between Two Formal Correctness Proofs in Isabelle/HOL, Proceedings of the COCV-Workshop (Compiler Optimization meets Compiler Verification), 8th European Conferences on Theory and Practice of Software (ETAPS 2005), Elsevier, April 2005.


Correctness of compilers is a vital precondition for the correctness of the software translated by them. In this paper, we present two approaches for the formalization of static single assignment (SSA) form together with two corresponding formal proofs in the Isabelle/HOL system, each showing the correctness of code generation. Our comparison between the two proofs shows that it is very important to find adequate formalizations in formal proofs since they can simplify the verification task considerably. Our formal correctness proofs do not only verify the correctness of a certain class of code generation algorithms but also give us sufficient, easily checkable correctness criteria characterizing correct compilation results obtained from implementations (compilers) of these algorithms. These correctness criteria can be used in a compiler result checker.

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Prof. Sabine Glesner
Jan Olaf Blech
Johannes Leitner
Steffen MĂĽlling