The $\mathbf{P}$-Completeness of Inverted Index Traversal: On the Complexity of Evaluating Boolean Query DAGs
Researchers have proven that evaluating complex Boolean queries over text fields is a computationally difficult problem. They introduced a new algorithm called ComputePN that can evaluate these queries efficiently by decoupling logical negation from universe-scale materialization. This approach has the potential to improve search infrastructure for AI agents and other applications.
Researchers have proven that evaluating complex Boolean queries over text fields is a computationally difficult problem. They introduced a new algorithm called ComputePN that can evaluate these queries efficiently by decoupling logical negation from universe-scale materialization. This approach has the potential to improve search infrastructure for AI agents and other applications.
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Why it matters: This work matters because it establishes theoretical boundaries on executing complex logic over inverted indexes, which is crucial for modern AI agents relying on search infrastructure. The proposed algorithm ComputePN can help overcome current limitations in query evaluation strategies.
Source: https://arxiv.org/abs/2601.18747
This article was originally published at: https://arxiv.org/abs/2601.18747