Bloom Filter Entry Removal Using LSB Toggling
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Solution Overview
Problem
Bloom filters, while memory-efficient for determining set membership, lack the ability to remove entries without impacting other entries or sacrificing memory efficiency, as changing bits from one to zero can compromise the integrity of the filter.
Innovation Solution
The implementation of an iterative process using an entry function with an iteration value to add or remove entries from the Bloom filter, where even iteration values indicate presence and odd values indicate absence, allowing for efficient addition and removal of entries without compromising the filter's integrity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If counting filters with n-bit counters are used to remove entries from the Bloom filter, then the ability to remove entries is improved, but memory efficiency deteriorates as each segment comprises many more bit values
Solution Approach 1:
The patent changes the parameter representation from storing full counter values (n-bit counters) to storing only the least significant bit (LSB). This parameter transformation allows the same memory structure to support both addition and removal operations while maintaining memory efficiency. The LSB acts as a toggle state that indicates whether an element is present or removed, eliminating the need for multi-bit counters.
2Adaptability or versatility
If Bloom filter bits are changed from one to zero to remove entries, then entry removal is enabled, but the integrity of the Bloom filter is compromised
Solution Approach 1:
The patent introduces dynamic iteration values that change with each add or remove operation. Instead of statically setting bits to zero, the system dynamically toggles the LSB based on the current iteration value. This dynamic approach ensures that removal operations are reversible and maintain filter integrity, as the same bit can be toggled back to its original state when needed.
Solution Approach 2:
The system uses feedback from the iteration value to control bit toggling. Each operation increments the iteration value, and the LSB of this increment determines whether to toggle the filter bit. This feedback mechanism ensures that removal operations are coordinated with the overall filter state, preventing integrity compromise while enabling entry removal.
Data Source
AI summary
A computer system encodes a plurality of components of a data set into a probabilistic data structure and digitally signs the probabilistic data structure. The computer system provides the digital signature for the probabilistic data structure and the probabilistic data structure to various entities. An entity can verify an individual component of the data set within the probabilistic data structure by verifying the individual component against the probabilistic data structure and the digital signature of the probabilistic data structure.