BLISK: Boolean circuit Logic Integrated into the Single Key

The discussion touches upon the conversion of complex nested AND/OR sequences into Conjunctive Normal Form (CNF), highlighting a specific interest in handling NOT gates within this context. The conversation acknowledges that while CNF conversion is theoretically feasible for expressions devoid of NOT gates, the practical implementation in systems like Bitcoin might face challenges, especially given the absence of a direct equivalent for NOT gates in such environments. This technical nuance points to a broader consideration of how digital logic operations translate into cryptographic protocols.

Moreover, the dialogue delves into the intricacies of the MuSig protocol, particularly focusing on scenarios where participants in a multisignature setup might have underlying Boolean gate policies that are complex and not immediately apparent. This raises an interesting point about the potential necessity—or lack thereof—for disclosing the entire policy structure upfront. The necessity for such disclosure seems to pivot on the practical aspects of protocol design rather than privacy concerns per se. Specifically, it is suggested that simplifying communication between parties—by allowing one party to represent their policy as a simple binary operation without needing to expose the complexity of their Boolean gate policy to others—could streamline protocol interactions. This approach underscores a pragmatic solution to managing information complexity in cryptographic protocols, suggesting that efficiency and simplicity might be achieved by abstracting the details of individual policies into basic logical representations.