The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Many hard examples for resolution
Open accessAbstract
For every choice of positive integers c and k such that k ≥ 3 and c 2 - k ≥ 0.7, there is a positive number ε such that, with probability tending to 1 as n tends to ∞, a randomly chosen family of cn clauses of size k over n variables is unsatisfiable, but every resolution proof of its unsatisfiability must generate at least (1 + ε) n clauses.
Overview
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Citations
Cites
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Metadata
- Authors
- Chvátal, V., & Szemerédi, E.
- Venue
- Journal of the ACM
- Published
- 1988-10
- Volume
- 35
- Issue
- 4
- Pages
- 759-768
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2126420408
- Cited by
- 439
- References
- 1
- FWCI
- 4.92
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Many hard examples for resolution. https://app.cochat.ai/papers/10.1145/48014.48016
- The paper
- Chvátal, V., & Szemerédi, E. (1988). Many hard examples for resolution. Journal of the ACM. https://doi.org/10.1145/48014.48016
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.
