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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- 1. Limsoon Wong
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