The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Designing programs that check their work
Open accessAbstract
A program correctness checker is an algorithm for checking the output of a computation. That is, given a program and an instance on which the program is run, the checker certifies whether the output of the program on that instance is correct. This paper defines the concept of a program checker. It designs program checkers for a few specific and carefully chosen problems in the class FP of functions computable in polynomial time. Problems in FP for which checkers are presented in this paper include Sorting, Matrix Rank and GCD. It also applies methods of modern cryptography, especially the idea of a probabilistic interactive proof, to the design of program checkers for group theoretic computations. Two structural theorems are proven here. One is a characterization of problems that can be checked. The other theorem establishes equivalence classes of problems such that whenever one problem in a class is checkable, all problems in the class are checkable.
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Citations
Cites
New hash functions and their use in authentication and set equality
Wegman, M. N., & Carter, J. L. (1981) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(81)90033-7 · Cited by 1,402
Cited by
A secure and reliable bootstrap architecture
Arbaugh, W. A., Farber, D. J., & Smith, J. M. (2002) · Proceedings. 1997 IEEE Symposium on Security and Privacy (Cat. No.97CB36097) · doi:10.1109/secpri.1997.601317 · Cited by 562
Self-testing of Quantum Circuits
Magniez, F., Mayers, D., Mosca, M., & Ollivier, H. (2006) · Lecture Notes in Computer Science · doi:10.1007/11786986_8 · Cited by 58
Metadata
- Authors
- Blum, M., & Kannan, S.
- Venue
- Journal of the ACM
- Published
- 1995-01-03
- Volume
- 42
- Issue
- 1
- Pages
- 269-291
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W1996839061
- Cited by
- 393
- References
- 1
- FWCI
- 13.77
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Designing programs that check their work. https://app.cochat.ai/papers/10.1145/200836.200880
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- Blum, M., & Kannan, S. (1995). Designing programs that check their work. Journal of the ACM. https://doi.org/10.1145/200836.200880
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
