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Space-Bounded FOIES

Summary: Characterize space of FOIES by maximal auxiliary arity k; define FOIES_k and prove tight arity bounds and separations for standard graph queries via Ehrenfeucht–Fraïssé arguments. Show undirected transitive closure requires k=2, resolving Patnaik–Immerman PODS'94 open problem. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
had189375ea7cad2c
Venue
PODS
Year
1995
Pagerank
4.9793485e-05
Overall Rank
13,278 | 10.73%
DOI
10.1145/212433.220204

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Authors

BibTeX Citation

@inproceedings{dong_pods95,
        address = {New York, NY, USA},
        series = {{PODS} '95},
        title = {{Space-Bounded FOIES}},
        url = {https://dl.acm.org/doi/10.1145/212433.220204},
        doi = {10.1145/212433.220204},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Dong, Guozhu and Su, Jianwen},
        year = {1995}
}

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Showing 6 of 6 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
39 Efficiently Updating Materialized Views 1986 SIGMOD 0.00046602544
62 Maintaining Views Incrementally 1993 SIGMOD 0.00039045511
2,292 Finitely Representable Databases 1994 PODS 8.6854411e-05
2,523 Incremental Evaluation of Rules and its Relationship to Parallelism 1991 SIGMOD 8.3464708e-05
5,225 Dyn-FO: A Parallel, Dynamic Complexity Class (Preliminary Version) 1994 PODS 6.220859e-05
5,784 Maintenance of Stratified Databases Viewed as a Belief Revision System 1987 PODS 5.9961885e-05
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