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Calculational Proofs

Published: 13 July 2022 Publication History
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References

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R. Back and J. von Wright. 1998. Refinement Calculus—A Systematic Introduction. Graduate Texts in Computer Science. Springer.
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R. Backhouse. 2003. Program Construction—Calculating Implementations from Specifications. John Wiley.
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L. Bijlsma and R. Nederpelt. 1998. Dijkstra–Scholten predicate calculus: Concepts and misconceptions. Acta Inf. 35, 12, 1007–1036.
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E. Börger. 1994. Book review: E.W. Dijkstra, C.S. Scholten, Predicate Calculus and Program Semantics. Sci. Comput. Program. 23, 91–101.
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Edsger W. Dijkstra and Carel S. Scholten. 1990. Predicate Calculus and Program Semantics. Springer-Verlag.
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E. W. Dijkstra and J. Misra. 2001. Designing a calculational proof of Cantor’s theorem. Am. Math. Mon. 108, 5, 440–443.
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R. M. Dijkstra. 1996. “Everywhere” in predicate algebra and modal logic. Inf. Process. Lett. 58, 5, 237–243.
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P. Ferraris, J. Lee, and V. Lifschitz. 2011. Stable models and circumscription. Artif. Intell. 175, 1, 236–263.
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J. Garson. 2021. Modal logic. In E. N. Zalta (Ed.), The Stanford Encyclopedia of Philosophy (Summer 2021 Edition). Stanford University. https://plato.stanford.edu/entries/logic-modal/.
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G. K. E. Gentzen. 1934. Untersuchungen über das logische Schließen. I. Math. Z. 39, 176–210.
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D. Gries and F. Schneider. 1993. A Logical Approach to Discrete Math. Springer.
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V. Lifschitz. 2002. On calculational proofs. Ann. Pure Appl. Log. 113, 207–224.

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Published In

cover image ACM Books
Edsger Wybe Dijkstra: His Life,Work, and Legacy
July 2022
576 pages
ISBN:9781450397735
DOI:10.1145/3544585

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 13 July 2022

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