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systems-architecture • Lemma map drafted

DFDF → FNS → IDFF → SIDS Composition Theorem Candidate

The DFT architecture composes data schemas, network topology, deterministic execution, and service/governance logic into a source-routed fabric stack.

Assumptions

  • Each layer exposes explicit interfaces.
  • Each layer preserves required invariants.
  • Cross-layer transitions are logged and reviewable.
  • Failure behavior is defined at each boundary.

Proof Obligations

  • Define layer interfaces.
  • Prove invariant preservation across layer transitions.
  • Define failure and rollback semantics.
  • Specify audit trail semantics.
  • Implement reference architecture tests.

Formalization Skeleton / Seed

Boundary Notice: The following TLA+ code is a scaffold. It contains explicit missing proofs (e.g., sorry or admit) and does not represent a completed verification of Digital Fabrica Theory; all proofs are currently unproven.

DFT_Stack_Composition.tla
---------------- MODULE DFT_Stack_Composition ----------------
(* Ω-DFT-CONTENT-BLOCK-32R: DFT Stack Composition Scaffold *)
(* BOUNDARY NOTICE: This is a TLA+ specification scaffold, NOT a completed model. *)
(* Do not claim system safety based on this stub. *)

EXTENDS Naturals, Sequences

VARIABLES 
    dfdf_state,
    fns_routing,
    idff_execution,
    sids_governance

vars == <<dfdf_state, fns_routing, idff_execution, sids_governance>>

Init == 
    / dfdf_state = "initialized"
    / fns_routing = "idle"
    / idff_execution = "ready"
    / sids_governance = "active"

(* Schema Evolution Boundary Transition *)
DFDF_Evolve == 
    / dfdf_state = "initialized"
    / dfdf_state' = "schema_updated"
    / UNCHANGED <<fns_routing, idff_execution, sids_governance>>

(* Routing Boundary Transition *)
FNS_Route == 
    / fns_routing = "idle"
    / fns_routing' = "routing"
    / UNCHANGED <<dfdf_state, idff_execution, sids_governance>>

Next == DFDF_Evolve / FNS_Route

(* Safety Candidate: Governance never enters an invalid state *)
SafetyCandidate == sids_governance /= "failed"

(* Liveness Candidate: Routing eventually completes *)
LivenessCandidate == <>(fns_routing = "delivered")

ASSUME dfdf_state in {"initialized", "schema_updated"}
THEOREM Spec => []SafetyCandidate

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Claim Boundary

Architecture model and theorem candidate. Requires implementation evidence and formal interface definitions.