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Apple Research Proves Inverted Index Boolean Evaluation Is P-Complete, Introduces ComputePN Algorithm
Technology 19 Aug 2026

Apple Research Proves Inverted Index Boolean Evaluation Is P-Complete, Introduces ComputePN Algorithm

Apple researchers proved that evaluating complex Boolean queries over inverted indexes is P-Complete, establishing a theoretical limit for traditional search engines. The ComputePN algorithm avoids exponential blowup and universal scans by using a Positive-Negative dual representation and DAG memoization.

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