The problem One: 1-bit Boolean AND Gate Optimization solves

This project implements and benchmarks a highly optimized zero-check protocol specifically designed for 1-bit boolean AND gate verification. The optimization achieves 2-5x performance improvement and 128x memory reduction compared to traditional field-based approaches.

Core Optimizations

• Bit-packed Storage: Store 8 boolean values in 1 byte instead of 8×16 bytes
• Bitwise Operations: Replace field arithmetic with direct boolean operations
• Batch Verification: Process multiple constraints simultaneously

Challenges I ran into

The complexity of the project; the need to have a sufficient understanding of Binius; not sure which solution can speed up, and the need to try different solutions.