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Approximately Counting Answers to Conjunctive Queries with Disequalities and Negations

Summary: Dichotomy (FPTRAS) for counting answers to conjunctive queries with disequalities/negations: under rETH, bounded-arity queries admit an FPTRAS iff treewidth is bounded; unbounded-arity (no negations) admit an FPTRAS iff adaptive width is bounded. No FPRAS exists unless NP=RP even for width 1, but if neither disequalities nor negations appear there is an FPRAS for queries of bounded fractional hypertreewidth, strictly generalizing STOC'21. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1867
Venue
PODS
Year
2022
Pagerank
4.413099e-05
Overall Rank
8,992 | 37.45%
DOI
10.1145/3517804.3526231

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

Rank Cited Paper Year Venue Pagerank
431 On the Complexity of Database Queries (Extended Abstract) 1997 PODS 0.00023370207
3,003 Counting Answers to Existential Positive Queries: A Complexity Classification 2016 PODS 7.7388586e-05
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