DSFB Structural Semiotics Calculus Endoduction as a Fourth Mode of Inference: Formal Syntax, Composition Rules, and Provable Properties of Endoductive Inference over Residual Trajectories

We introduce the DSFB Structural Semiotics Calculus (DSSC), a typed algebraic frameworkthat unifies residual sign semantics, admissibility envelopes, grammar-state machines, motifrewriting, and endoductive inference into a single coherent formal system. Building directlyon the algebraic primitives of Algebraic Deterministic Dynamics (ADD) and the Drift–SlewFusion Bootstrap (DSFB) estimation layer, the calculus supplies deterministic compositionrules, operational semantics in the style of structured operational semantics (SOS), and prov-able meta-properties without stochastic assumptions. Endoduction is formalized as a fourthinference mode, distinct from deduction, induction, and abduction, with explicit…