Operator Algebra of the Interpretive Constraint Layer

This note formalises the operator algebra governing the Interpretive Constraint Layer of the Paton System. It defines operator domains, composition rules, precedence relations, and absorbing failure states. The algebra establishes that interpretive operators form a non-commutative ordered gate system whose evaluation sequence is structurally constrained. This provides a rigorous mathematical scaffold for admissibility logic across domains and allows the framework’s operators to be formally composed, tested, and verified without modifying underlying models or physical laws.