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The Complexity Of Ordering Subgoals

Summary: Shows that finding a feasible evaluation order for subgoals in a logical rule is inherently exponential-time. Proof establishes an exponential lower bound by reduction from linear-space alternating Turing-machine recognition, avoiding ordinary TM encodings. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
h76984c944231cb8f
Venue
PODS
Year
1988
Pagerank
7.1439794e-05
Overall Rank
3,640 | 75.53%
DOI
10.1145/308386.308417

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{ullman_pods88,
        address = {New York, NY, USA},
        series = {{PODS} '88},
        title = {{THE COMPLEXITY OF ORDERING SUBGOALS}},
        url = {https://dl.acm.org/doi/10.1145/308386.308417},
        doi = {10.1145/308386.308417},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Ullman, Jeffrey D. and Vardi, Moshe Y.},
        year = {1988}
}

Incoming Citations (Sorted by Pagerank)

Showing 3 of 3 citing papers.

Rank Citing Paper Year Venue Pagerank
1,332 An Algorithm For Ordering Subgoals In Nail! 1988 PODS 0.00010998392
2,790 Processing First-Order Queries under Limited Access Patterns 2004 PODS 8.0100392e-05
9,266 Efficiently Ordering Subgoals with Access Constraints [Extended Abstract] 2006 PODS 5.2056825e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 2 of 2 cited papers.

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

Rank Cited Paper Year Venue Pagerank
18 MAGIC SETS AND OTHER STRANGE WAYS TO IMPLEMENT LOGIC PROGRAMS (Extended Abstract) 1986 PODS 0.00059023577
1,332 An Algorithm For Ordering Subgoals In Nail! 1988 PODS 0.00010998392
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