Refining Explicit Knowledge with Awareness and Indistinguishability

This paper addresses a known limitation in the logic of awareness, a framework designed to address logical omniscience. The original framework's definition of explicit knowledge can lead to undesirable logical consequences. This paper proposes a refined definition based on epistemic indistinguishability, aiming for a more accurate representation of explicit knowledge. The use of elementary geometry as an example provides a clear and relatable context for understanding the concepts. The paper's contributions include a new logic (AIL) with increased expressive power, a formal system, and proofs of soundness and completeness. This work is relevant to AI research because it improves the formalization of knowledge representation, which is crucial for building intelligent systems that can reason effectively.