Title: Modular Theorem Proving with Quantum Simulation
Jincheng Zhang
Abstract
Abstract: This paper presents a novel modular theorem proving system predicated on quantum simulation to efficiently explore and verify complex mathematical theorems. We propose a quantum-assisted approach that leverages quantum algorithms, specifically Grover's algorithm, to dramatically reduce computational costs associated with exhaustive search and verification. The core mechanism involves simulating quantum systems to represent and manipulate mathematical objects, enabling the system to rapidly identify and prove theorems that are intractable with traditional methods. This work represents a significant advancement in computational mathematics, offering a potentially transformative solution for rigorous mathematical proof.