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A lattice-theoretical fixpoint theorem and its applications
Open accessAbstract
Most of the results contained in this paper were obtained in 1939.A summary of the results was given in [6].The paper was prepared for publication when the author was working on a research project in the foundations of mathematics sponsored by the Office of Ordnance Research, U.S. Army.
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Citations
Cited by
Cousot, P., & Cousot, R. (1977) · Proceedings of the 4th ACM SIGACT-SIGPLAN symposium on Principles of programming languages - POPL '77 · doi:10.1145/512950.512973 · Cited by 6,279
Minimizing a Submodular Function on a Lattice
Topkis, D. M. (1978) · Operations Research · doi:10.1287/opre.26.2.305 · Cited by 1,315
Towards a Theory of Declarative Knowledge
Apt, K. R., Blair, H. A., & Walker, A. (1988) · Foundations of Deductive Databases and Logic Programming · doi:10.1016/b978-0-934613-40-8.50006-3 · Cited by 1,151
Abstract interpretation and application to logic programs
Cousot, P., & Cousot, R. (1992) · The Journal of Logic Programming · doi:10.1016/0743-1066(92)90030-7 · Cited by 582
The Rise of Mass Consumption Societies
Matsuyama, K. (2002) · Journal of Political Economy · doi:10.1086/341873 · Cited by 270
Metadata
- Authors
- Tarski, A.
- Venue
- Pacific Journal of Mathematics
- Publisher
- Mathematical Sciences Publishers
- Published
- 1955-06-01
- Volume
- 5
- Issue
- 2
- Pages
- 285-309
- ISSN
- 0030-8730 (ISSN-L)
- OpenAlex
- W2046213250
- Cited by
- 2,704
- References
- 0
- FWCI
- 15.13
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Tarski, A. (1955). A lattice-theoretical fixpoint theorem and its applications. Pacific Journal of Mathematics. https://doi.org/10.2140/pjm.1955.5.285
Data sources
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.
