From Liar Paradox to Incongruent Sets: A Normal Form for Self-Reference

1. 1Identify self-referential semantic sentences that lead to paradoxes or inconsistencies
2. 2Apply the Incongruent Normal Form (INF) transformation to replace self-referential sentences with non-self-referential ones
3. 3Analyze the resulting family of sentences to understand the semantic obstruction created by self-reference
4. 4Use the correctness theorems accompanying INF to ensure the preservation of classical semantics locally

AI researchers and logicians on a team benefit from this work as it provides a new framework for handling self-reference in semantic sentences, which can be applied to various areas of AI, such as natural language processing and knowledge representation

💡 Incongruent Normal Form (INF) provides a structural representation for self-referential semantic sentences, isolating semantic obstructions while preserving classical semantics locally

🤖 New framework for self-referential sentences: Incongruent Normal Form (INF) transforms paradoxical sentences into non-self-referential ones