aptos-orderless-wev

--- name: aptos-orderless-wev description: 'Aptos Orderless WEV Skill' version: 1.0.0 --- # Aptos Orderless WEV Skill > **Trit**: +1 (PLUS) - Generative parallel execution World Extractable Value via Aptos orderless transactions with Strong Parallelism Invariance (SPI) guarantees and GF(3) conservation. ## Core Concept **WEV (World Extractable Value)** exploits **knowledge differentials** between domains in orderless execution systems. Unlike MEV (order-dependent extraction), WEV leverages parallel execution invariance. ``` ┌─────────────────────────────────────────────────────────────────────┐ │ MEV vs WEV │ ├─────────────────────────────────────────────────────────────────────┤ │ MEV: Extract value from transaction ORDERING │ │ Sequencer sees tx₁ before tx₂ → front-run │ │ Order matters, position is power │ │ │ │ WEV: Extract value from KNOWLEDGE DIFFERENTIALS │ │ World A knows X, World B knows Y │ │ Orderless execution → position irrelevant │ │ Knowledge asymmetry is power │ └─────────────────────────────────────────────────────────────────────┘ ``` ## Aptos Orderless Transactions (AIP-123) From [Aptos Documentation](https://aptos.dev/build/guides/orderless-transactions): - **Purpose**: Execute transactions out of order for multi-machine signing - **Replay Protection**: Uses `replayProtectionNonce` (random u64) - **Max Expiration**: 60 seconds - **Block-STM**: Parallel execution engine ```typescript // Orderless transaction structure interface OrderlessTransaction { replayProtectionNonce: bigint; // Random u64 for replay protection payload: TransactionPayloadPayload; // AIP-129 payload expirationTimestamp: number; // Max 60 seconds } ``` ## GF(3) Conservation as Orderless Guarantee For any valid WEV transaction triplet, the sum of trits must be zero: ``` PLUS (+1): Generators (A, B, C, D, E, W, X, Y, Z) ERGODIC(0): Coordinators (F, G, H, I, J, K, L, M) MINUS (-1): Validators (N, O, P, Q, R, S, T, U, V) Sum: 9(+1) + 8(0) + 9(-1) = 0 ✓ ``` ### WEV Triplet Structure ```clojure (defn wev-triplet [from-world to-world mediator] (let [trits [(world-trit from-world) ; PLUS (+1) sender (world-trit mediator) ; ERGODIC (0) coordinator (world-trit to-world)]] ; MINUS (-1) validator (assert (zero? (mod (reduce + trits) 3)) "GF(3) conservation violated!") {:transactions [from-world mediator to-world] :orderless true :conserved true})) ``` ## Strong Parallelism Invariance (SPI) ``` SPI Theorem: For any deterministic generator G with seed s, ∀ permutation π of indices I: G(s, I) ≡ G(s, π(I)) (modulo ordering) ``` **Verification**: - `ordered == reversed == shuffled` - `parallel == sequential` - GF(3) sum preserved across all orderings ## Open Games Formalization ### Orderless Game as Open Game ```haskell data OrderlessGame s t a b = OrderlessGame { play :: s -> a -- Forward: knowledge state → action , coplay :: s -> b -> t -- Backward: observation → utility , nonce :: Word64 -- Replay protection , triplet :: (World, World, World) -- GF(3)-balanced worlds } -- Composition is order-invariant instance Category OrderlessGame where (.) g h = OrderlessGame { play = play g . play h , coplay = s b -> coplay h s (coplay g (play h s) b) , nonce = xor (nonce g) (nonce h) -- Combined nonce , triplet = mergeTriplets (triplet g) (triplet h) } ``` ### Epistemic Arbitrage as Nash Equilibrium ```haskell -- Knowledge differential game epistemicArbitrage :: OpenGame KnowledgeState KnowledgeState Action Utility epistemicArbitrage = OpenGame { play = k -> let diff = knowledgeDifferential k in if profitable diff then ExtractWEV else Wait , coplay = k a -> case a of ExtractWEV -> k { value = value k + wevProfit } Wait -> k , equilibrium = k -> -- Nash: extract iff differential profitable profitable (knowledgeDifferential k) == (play k == ExtractWEV) } ``` ## Triangle Arbitrage Across Worlds ``` World_PLUS ←──────────→ World_ERGODIC (+1) knowledge (0) ▲ flow ▲ / GF(3) = 0 / / ▼ ▼ World_MINUS (-1) ``` ### Mediator Selection Logic ```clojure (defn find-mediator [worlds from-world to-world] (let [from-trit (get-in worlds [from-world :trit]) to-trit (get-in worlds [to-world :trit]) sum-mod3 (mod (+ from-trit to-trit) 3) needed-trit (case sum-mod3 0 0 ; need 0 to make sum 0 1 -1 ; need -1: (1 + (-1) = 0) 2 1)] ; need +1: (2 + 1 = 3 ≡ 0) (first (filter #(= needed-trit (get-in worlds [% :trit])) (keys worlds))))) ``` ## Babashka Implementation ### `wev_orderless.bb` ```clojure #!/usr/bin/env bb ;; World Extractable Value via orderless Aptos transactions (require '[babashka.cli :as cli]) (def WORLDS {:a {:trit +1 :wallet "0x...a"} :b {:trit +1 :wallet "0x...b"} :f {:trit 0 :wallet "0x...f"} ; mediator :n {:trit -1 :wallet "0x...n"} :p {:trit -1 :wallet "0x...p"}}) (defn knowledge-differential [from-world to-world] ;; Compute knowledge asymmetry between worlds (let [k1 (io/file (str "/tmp/" (name from-world) "_knowledge")) k2 (io/file (str "/tmp/" (name to-world) "_knowledge"))] (cond (and (.exists k1) (not (.exists k2))) :from-advantage (and (.exists k2) (not (.exists k1))) :to-advantage :else :equilibrium))) (defn wev-triplet [from to] (let [mediator (find-mediator WORLDS from to) trits [(get-in WORLDS [from :trit]) (get-in WORLDS [mediator :trit]) (get-in WORLDS [to :trit])]] (assert (zero? (mod (reduce + trits) 3))) {:from from :mediator mediator :to to :orderless true :nonce (rand-int Integer/MAX_VALUE)})) (defn extract-wev [from to] (let [triplet (wev-triplet from to) diff (knowledge-differential from to)] (when (not= diff :equilibrium) (println "WEV opportunity:" diff) (println "Triplet:" triplet) triplet))) ;; CLI (def cli-opts {:scan {:fn (fn [_] (scan-opportunities WORLDS))} :triplet {:fn (fn [{:keys [from to]}] (wev-triplet (keyword from) (keyword to)))} :extract {:fn (fn [{:keys [from to]}] (extract-wev (keyword from) (keyword to)))}}) (cli/dispatch cli-opts *command-line-args*) ``` ## ACSet Schema ```julia @present SchOrderlessWEV(FreeSchema) begin # Worlds World::Ob Transaction::Ob Triplet::Ob # World structure Trit::AttrType Wallet::AttrType Knowledge::AttrType world_trit::Attr(World, Trit) world_wallet::Attr(World, Wallet) world_knowledge::Attr(World, Knowledge) # Triplet structure (GF(3)-balanced) plus_world::Hom(Triplet, World) ergodic_world::Hom(Triplet, World) minus_world::Hom(Triplet, World) # Transaction Nonce::AttrType tx_nonce::Attr(Transaction, Nonce) tx_triplet::Hom(Transaction, Triplet) # Constraint: sum of trits = 0 (mod 3) # Enforced at construction time end ``` ## GF(3) Triads ``` aptos-orderless-wev (+1) ⊗ boneh-roughgarden-wev (0) ⊗ solver-fee (-1) = 0 ✓ aptos-orderless-wev (+1) ⊗ open-games (0) ⊗ intent-sink (-1) = 0 ✓ aptos-orderless-wev (+1) ⊗ gay-mcp (0) ⊗ protocol-evolution-markets (-1) = 0 ✓ ``` ## Integration | Skill | Connection | Direction | |-------|------------|-----------| | `open-games` | OrderlessGame as Para morphism | → | | `boneh-roughgarden-wev` | Shared WEV mechanism | ↔ | | `spi-parallel-verify` | Verification of order-invariance | ← | | `gay-mcp` | Seed generation for nonces | ← | | `epistemic-arbitrage` | Knowledge differential exploitation | → | ## CLI Commands ```bash # Scan for WEV opportunities bb scripts/wev_orderless.bb scan # Build GF(3)-balanced triplet bb scripts/wev_orderless.bb triplet --from a --to p # Extract WEV (if differential exists) bb scripts/wev_orderless.bb extract --from a --to p # Verify SPI just spi-verify triplet.json ``` ## References 1. **AIP-123**: Orderless Transactions 2. **AIP-129**: Transaction Payload Payload 3. **Block-STM**: Aptos parallel execution engine 4. **Ghani, Hedges et al.**: Compositional Game Theory 5. **Gay.jl**: SplitMix64 for deterministic nonces --- **Skill Name**: aptos-orderless-wev **Type**: Parallel Execution / Game Theory **Trit**: +1 (PLUS) **Key Property**: GF(3)-conserved orderless triplets with SPI guarantees