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A Proof Calculus for Natural Semantics Based on Greatest Fixed Point Semantics
Citation key glesner04a
Author Sabine Glesner
Title of Book Proceedings of the COCV-Workshop (Compiler Optimization meets Compiler Verification), 7th European Conferences on Theory and Practice of Software (ETAPS 2004)
Pages 73 - 93
Year 2004
Address Barcelona, Spain
Volume Vol. 132 (2005)
Month Apr
Publisher Elsevier, Electronic Notes in Theoretical Computer Science (ENTCS)
Abstract Formal semantics of programming languages needs to model the potentially infinite state transition behavior of programs as well as the computation of their final results simultaneously. This requirement is essential in correctness proofs for compilers. We show that a greatest fixed point interpretation of natural semantics is able to model both aspects equally well. Technically, we infer this interpretation of natural semantics based on an easily omprehensible introduction to the dual definition and proof principles of induction and coinduction. Furthermore, we develop a proof calculus based on it and demonstrate its application for two typical problems.
Bibtex Type of Publication Conference Article
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