A Dichotomy in the Intensional Expressive Power of Nested Relational Calculi augmented with Aggregate Functions and a Powerset Operator
Summary: Dichotomy for NRC(Q,+,·,-,÷,Σ,powerset): on structures like long chains and deep trees, queries are either definable without powerset or require exponential space. Generalizes prior exponential lower bounds to SQL‑capturing calculi and to languages with a normal form and locality. (summarized by gpt-5-mini on Feb 09 2026)
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Authors
- 1. Limsoon Wong (National University of Singapore)
BibTeX Citation
@inproceedings{wong_pods13,
address = {New York, NY, USA},
series = {{PODS} '13},
title = {{A Dichotomy in the Intensional Expressive Power of Nested Relational Calculi augmented with Aggregate Functions and a Powerset Operator}},
url = {https://dl.acm.org/doi/10.1145/2463664.2463670},
doi = {10.1145/2463664.2463670},
booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
publisher = {Association for Computing Machinery},
author = {Wong, Limsoon},
year = {2013}
}
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