The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
An axiomatic basis for computer programming
Abstract
In this paper an attempt is made to explore the logical foundations of computer programming by use of techniques which were first applied in the study of geometry and have later been extended to other branches of mathematics. This involves the elucidation of sets of axioms and rules of inference which can be used in proofs of the properties of computer programs. Examples are given of such axioms and rules, and a formal proof of a simple theorem is displayed. Finally, it is argued that important advantages, both theoretical and practical, may follow from a pursuance of these topics.
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Citations
Cites
Assigning meanings to programs
Floyd, R. W. (1967) · Proceedings of Symposia in Applied Mathematics · doi:10.1090/psapm/019/0235771 · Cited by 1,408
Computability and Unsolvability.
Elgot, C., & Davis, M. (1959) · Mathematical Tables and Other Aids to Computation · doi:10.2307/2002808 · Cited by 980
Proving Properties of Programs by Structural Induction
Burstall, R. M. (1969) · The Computer Journal · doi:10.1093/comjnl/12.1.41 · Cited by 324
Proof of algorithms by general snapshots
Naur, P. (1966) · BIT Numerical Mathematics · doi:10.1007/bf01966091 · Cited by 153
Proof of Algorithms by General Snapshots
Naur, P. (1993) · Studies in cognitive systems · doi:10.1007/978-94-011-1793-7_3 · Cited by 146
Cited by
The Spec# Programming System: An Overview
Barnett, M., Leino, K. R. M., & Schulte, W. (2005) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-30569-9_3 · Cited by 986
The software model checker Blast: Applications to software engineering
Beyer, D., Henzinger, T. A., Jhala, R., & Majumdar, R. (2007) · International Journal on Software Tools for Technology Transfer · doi:10.1007/s10009-007-0044-z · Cited by 585
A brief history of process algebra
Baeten, J. C. M. (2005) · Theoretical Computer Science · doi:10.1016/j.tcs.2004.07.036 · Cited by 323
History of Interactive Theorem Proving
Harrison, J., Urban, J., & Wiedijk, F. (2014) · Handbook of the History of Logic · doi:10.1016/b978-0-444-51624-4.50004-6 · Cited by 107
The State of Software for Evolutionary Biology
Darriba, D., Flouri, T., & Stamatakis, A. (2018) · Molecular Biology and Evolution · doi:10.1093/molbev/msy014 · Cited by 48
Metadata
- Authors
- Hoare, C. A. R.
- Venue
- Communications of the ACM
- Published
- 1983-01
- Volume
- 26
- Issue
- 1
- Pages
- 53-56
- ISSN
- 0001-0782 (ISSN-L)
- 1557-7317
- OpenAlex
- W2111706174
- Cited by
- 1,521
- References
- 5
- FWCI
- 32.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hoare, C. A. R. (1983). An axiomatic basis for computer programming. Communications of the ACM. https://doi.org/10.1145/357980.358001
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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