The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Algebraic methods for interactive proof systems
Open accessAbstract
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an interactive proof system. This technique played a pivotal role in the recent proofs that IP = PSPACE [28] and that MIP = NEXP [4].
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
The complexity of computing the permanent
Valiant, L. G. (1979) · Theoretical Computer Science · doi:10.1016/0304-3975(79)90044-6 · Cited by 2,705
Cited by
Some optimal inapproximability results
Håstad, J. (2001) · Journal of the ACM · doi:10.1145/502090.502098 · Cited by 1,902
Micali, S. (2000) · SIAM Journal on Computing · doi:10.1137/s0097539795284959 · Cited by 424
Ligero: Lightweight Sublinear Arguments Without a Trusted Setup
Ames, S., Hazay, C., Ishai, Y., & Venkitasubramaniam, M. (2017) · Proceedings of the 2017 ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/3133956.3134104 · Cited by 305
Doubly-Efficient zkSNARKs Without Trusted Setup
Wahby, R. S., Tzialla, I., Shelat, A., Thaler, J., & Walfish, M. (2018) · 2018 IEEE Symposium on Security and Privacy (SP) · doi:10.1109/sp.2018.00060 · Cited by 276
zkLLM: Zero Knowledge Proofs for Large Language Models
Sun, H., Li, J., & Zhang, H. (2024) · Proceedings of the 2024 on ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/3658644.3670334 · Cited by 55
Metadata
- Authors
- Lund, C., Fortnow, L., Karloff, H., & Nisan, N.
- Venue
- Journal of the ACM
- Published
- 1992-10
- Volume
- 39
- Issue
- 4
- Pages
- 859-868
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2082647621
- Cited by
- 711
- References
- 2
- FWCI
- 17.68
- 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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Algebraic methods for interactive proof systems. https://app.cochat.ai/papers/10.1145/146585.146605
- The paper
- Lund, C., Fortnow, L., Karloff, H., & Nisan, N. (1992). Algebraic methods for interactive proof systems. Journal of the ACM. https://doi.org/10.1145/146585.146605
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.