Supplementary Material: Formal Proofs and Analytical Subsumption for CLASS (Accompanying "CLASS: A Constrained Linear Algebraic Search for SAT-to-Ising Transformations")

Key Points

• The aim is to provide detailed formal proofs and analytical methods for the CLASS algorithm involved in SAT-to-Ising transformations.
• Developed formal proofs to validate the CLASS algorithm.
• Utilized analytical subsumption to optimize transformations.
• Provided supplementary material to clarify theoretical aspects.
• Confirmed the validity of the CLASS algorithm through rigorous proofs.
• Showed enhanced efficiency in SAT-to-Ising transformations via analytical techniques.
• Established a foundation for future computational algorithm enhancements.