LEXX — Annotated Example

A short agreement through the entire pipeline

Purpose of this file: to show how LEXX inverts the intention vector and builds a counter-proposal, stage by stage. It is a teaching walk-through; validation runs, with sealed ground truth, follow 03_PRE_PILOT_PROTOCOL.md. The agreement is synthetic and short; the clauses are numbered for anchoring.

The document (source)

COLLABORATION AGREEMENT — "Vetrina Pro" C1. The Supplier grants the Client a listing in the Vetrina Pro section of the portal, with priority visibility. C2. The fee is € 1,200.00 per year (one thousand two hundred/00), payable in a single instalment upon activation. C3. This agreement renews tacitly from year to year, save for termination to be communicated with reasonable notice before the expiry date. C4. The Supplier may modify the features of the Vetrina Pro service at its own discretion, giving notice of the change on the portal. C5. In the event of late payment of even a single instalment, access to the section is suspended and the annual fee remains due in full. C6. Any dispute falls within the jurisdiction of the court of the place where the Supplier has its registered office. C7. (decoy) The Supplier guarantees a support response time within 2 business days; the recitals record that priority assistance is consideration for the fee and is not available to free accounts.

Perspective of the analysis: destinatario (the Client, as recipient). Qualification: B2B; where the Client is a professional adhering to a pre-drafted form, the applicable screening is artt. 1341-42 of the Italian Civil Code.

Field identifiers follow the runtime schema (02_COMPATIBILITY_PROFILE.md §6).

How LEXX reads it — stage by stage

Stage 0 — INSED [SVP]

• State: proposal on a form pre-drafted by the Supplier → unilateral clauses are candidates for the artt. 1341-42 screening (double signature for onerous clauses).
• Qualification of the parties: B2B; C4/C5/C6 are clauses in favour of the drafting party → art. 1341 co. 2: they take effect upon specific written approval. Formation slot: the double signature is absent from the text supplied → a remedy flaw for the Supplier, a shield for the Client.
• Perimeter: documento_solo (document only); integration under artt. 1339/1374 goes into mitigazione_esterna (external mitigation).

Stage 1 — TWO-CHANNEL STRIP [OST + SA]

Example on two clauses (the invariant ι and the payload P):

• Φ_declared of the agreement: "priority visibility against an annual fee".
• Φ_effective: "a self-protected recurring collection, with the Client's exit made difficult and the service modifiable at discretion".

Stage 1.5 — Consistency

• Arithmetic: C2 € 1,200 = 1,200 in words ✓ (figures and words agree).
• Temporal: C3 tacit renewal → V-TEMP: the termination window is left open by the text (τ_ph: recurrent bifurcation at every expiry).

Stage 2 — VECTORS

• F1 · V-AM (C3): "reasonable notice" — two readings with divergent outcomes (30 days? 90?). A divergence of outcomes, which is the V-AM criterion. Grade S₀ (direct quotation).
• F2 · V-IN (C4 × C5): intersection. C4 lets the Supplier hollow out the service "at its own discretion"; C5 keeps the entire fee due regardless. Each clause is legitimate on its own; the combination allows the service to be degraded while everything is collected. Grade S₁ (triangulation C4+C5).
• F3 · V-OM: the Client's remedy for a service drop is the missing clause: the set gives the Supplier discretion (C4) and the Client a payment duty (C5).

Stage 3 — E→I INVERSION · the intention vector [core]

Tomography (union of the payloads P across independent clauses):

• C3 → payload: make exit costly (open-ended termination).
• C4 → payload: preserve the freedom to reduce the counter-performance.
• C5 → payload: secure collection regardless of the service delivered.
• C6 → payload: shift the cost of litigation onto the Client (Supplier's forum).

Four independent clauses converge on the same direction: maximise and lock in the recurring collection, while minimising the obligation to deliver value and the cost of any conflict.

• LENS discipline (structure before label): the text allows a supplier in this position to collect a self-protected annual fee while reducing the service at discretion and discouraging both exit and litigation. The description stays on the structure, which points anyone occupying that position in the same direction.
• vettore_dichiarato (declared vector): "sell priority visibility". vettore_effettivo (effective vector): "secure a recurring rent decoupled from the counter-performance". Δ_vettore: wide.
• Grade: S₁ (≥3 convergent clauses, solid tomography). Limit note (P3): the document leaves open whether this structure is deliberate strategy or an inherited standard template; the field stays at the structural level.

Stage 4 — PROPORTION [PA]

• Imbalance of the vectors: the Supplier holds discretion (C4), self-help (C5), forum (C6) and an open term in its own favour (C3); the Client holds a certain payment obligation and zero levers of its own. κ_banda: bassa (low band; criterion shown: four levers to the Supplier, zero to the Client). Class: asimmetrica_occulta (hidden asymmetry) — the recitals are silent on the imbalance; R produces it.

Stage 5 — TRAJECTORY [Lyapunov]

• λ_L > 0: the relationship diverges. Every reduction of the service (C4), with the remedy clause missing (V-OM), raises dissatisfaction, while exit is costly (C3) and default is punitive (C5) → the Client stays dissatisfied and bound: growing instability.
• Bifurcation: C5 (grilletto_vicino, near trigger: "even a single instalment … remains due in full") is the trigger clause. CVI_banda: alta (high band; criterion: one junction clause and one rewrite of C3 suffice).

Stage 6 — CLASS and RESIDUE [OCT + VERI]

• C5: class C (degenerative — function against the system of the relationship). C4: B tending to C (bare discretion, its counterweight missing). C3: A with a defect of determinacy.
• Residue of the Client's protections: 0 (statement of intent at most) → remedy V-OM confirmed.

Stage 7 — CONTRARY TEST [Controfase] + the decoy C7

• F1 (C3): opposto_valido? the words "reasonable notice" could be integrated by a judicial standard of reasonableness. Interpretive canon: art. 1370 contra proferentem — the open term is resolved against the drafting party (the Supplier). Outcome: confirmed (confermata); the bifurcation is resolved, and the flaw is charged to the drafting party.
• C7 — the decoy (discrimination): C7 triggers suspicion — "priority assistance is consideration for the fee and is not available to free accounts" sounds like a fortress/asymmetry. The decisive filters discard it: (a) the asymmetry is declared in the recitals with Δ_𝔉 = 0 (what it says = what it does: a paid service is for those who pay); (b) it carries a measurable obligation on the Supplier ("within 2 business days"), that is, a protection with residue. Outcome: non-flaw → it goes into non_falle_verificate. The two filters — Δ_𝔉 = 0 in the recitals and a measurable residue — separate the declared, lawful asymmetry from the hidden one; C7 is the decoy the rubric prices at −2.
• P-AI on the analyst, three checks: moral attribution to the Supplier — none, the description covers what the structure permits and stops there; grade inflation — none, the intention vector is held at S₁; every unbalanced clause counted as a flaw — no, C7 is unbalanced and legitimate. ✓

Stage 8 — COUNTER-PROPOSAL [π + neutralisation + Lyapunov]

For each flaw, π(ι, 𝔻_fair) that preserves the invariant and drops the payload:

• C3 → π: ι = right to terminate. Fair rewrite: "termination with 60 days' notice by PEC certified e-mail; absent any communication, the renewal runs for 12 months". Round-trip: the strip S of the rewrite returns ι (the right to exit) and P′ = ∅ (the term is now fixed). ✓
• C4+C5 → neutralisation (type: counter-right): leave the "at its own discretion" in place (the Supplier will defend it) and add a clause that cancels its leverage — "a substantial reduction of the Vetrina Pro features entitles the Client to withdraw without penalty and to a pro-rata refund". This is functional opposition (it cancels the lever), effective and legitimate. tipo: contro_diritto; λ_L post → neg (the relationship re-stabilises: the discretion is now counterweighted). (The phase-shift junction for this pair ties the fee to a metric of delivered visibility, so that "at its own discretion" loses its purchase; the counter-right is the more direct move and is the one used here.)
• C6 → π: ι = certainty of forum. Rewrite: "court of the Client's place for relationships in which the Client is the adhering party" (reduces the litigation asymmetry).
• Every counter-proposal is delivered paired with its flaw: each wound shown carries its closure.

Stage 9 — VERDICT

device: Φ_effective systematically decoupled from Φ_declared, vettore_effettivo ≠ dichiarato with a wide Δ_vettore, tomographic convergence at S₁. The clauses taken in isolation survive, which is the line between device and degenerato; the emergent function of the set is a self-protected rent device. Correctable: high CVI, a counter-proposal available for every flaw.

The three maps (client deliverable)

• What it says: "I give you priority visibility for € 1,200 a year, with automatic renewal".
• What it does not say: the Client's remedy for a visibility drop (missing); the exit deadline (left open); the forum (the Supplier's home).
• What it says without saying it: the agreement is built to secure collection regardless of the service delivered — its effective vector is a rent stream, where the title announces a collaboration. (S₁ — structurally enabled vector.)

Note: on real, complex agreements (real estate, corporate, licensing) stages 3–5 become the heart of the value: that is where tomographic inversion and the dynamic trajectory work on the field R across the whole set.