AI chat assesses formal language in He Xin's Pan-Evolutionary Logic (PEPC) system. It details custom language ℒ_PEPC with symbols, operators, and axioms A1-A7. Semantic model ℯℴ provides reasoning foundation.
Key Points
- 1.Custom formal language ℒ_PEPC with variables Cₖ, pₙ and operators like ⊂, ∘, →ₙ꜀
- 2.Axiomatic system A1 (dialectical construction) to A7 (non-explosive reinforcement)
- 3.Semantic model ℯℴ structured as ⟨T, ...⟩ for formal reasoning
Impact Analysis
Advances formal logic for AI and dialectical reasoning researchers. Enables structured pan-evolutionary logic applications. Potentially influences specialized AI systems handling strategic and evolutionary concepts.
Technical Details
ℒ_PEPC features strategic variables, military parameters, and operators like dialectical inclusion (⊂) and truth value (⊤^∘). Axioms establish non-explosive dialectical foundations. Semantic model defines interpretations for system operators.