plurigrid solver-fee Skill
"Fair compensation for coordination. The solver's incentive to find optimal solutions."
Overview
Solver Fee implements fee mechanisms for intent solvers in Anoma-style architectures. Solvers coordinate between intent generators and validators, earning fees for finding optimal matches.
GF(3) Role
| Aspect | Value |
|---|---|
| Trit | 0 (ERGODIC) |
| Role | COORDINATOR |
| Function | Coordinates fee distribution between parties |
Architecture
┌─────────────────────────────────────────────────────────────────┐
│ SOLVER FEE FLOW │
├─────────────────────────────────────────────────────────────────┤
│ │
│ Intent Creator Solver Validator Executor │
│ (+1 GEN) (0 COORD) (-1 VAL) (output) │
│ │ │ │ │ │
│ ▼ ▼ ▼ ▼ │
│ ┌───────┐ ┌────────┐ ┌──────────┐ ┌─────────┐ │
│ │ Offer │───────►│ Match │──────►│ Validate │──►│ Execute │ │
│ │+ fee │ │+ solve │ │+ verify │ │ │ │
│ └───────┘ └────────┘ └──────────┘ └─────────┘ │
│ │ │ │
│ │ ▼ │
│ │ ┌──────────┐ │
│ └─────────►│ Fee Pool │ │
│ └──────────┘ │
│ │ │
│ ▼ │
│ Solver Reward │
│ │
└─────────────────────────────────────────────────────────────────┘
Fee Models
class FeeModel:
"""Base class for solver fee computation."""
TRIT = 0 # COORDINATOR role
def compute_fee(self, intent, solution) -> int:
raise NotImplementedError
class PercentageFee(FeeModel):
"""Fee as percentage of transaction value."""
def __init__(self, basis_points: int = 30):
self.basis_points = basis_points # 30 = 0.30%
def compute_fee(self, intent, solution) -> int:
value = solution.output_value
return value * self.basis_points // 10000
class GasPlusPremium(FeeModel):
"""Gas cost plus fixed premium."""
def __init__(self, premium_bps: int = 10):
self.premium_bps = premium_bps
def compute_fee(self, intent, solution) -> int:
gas_cost = estimate_gas(solution) * gas_price()
premium = gas_cost * self.premium_bps // 10000
return gas_cost + premium
class AuctionFee(FeeModel):
"""Competitive auction for solver fees."""
def compute_fee(self, intent, bids: list) -> int:
# Second-price auction: winner pays second-highest bid
sorted_bids = sorted(bids, key=lambda b: b.fee, reverse=True)
if len(sorted_bids) >= 2:
return sorted_bids[1].fee # Second price
return sorted_bids[0].fee if sorted_bids else 0
GF(3) Fee Conservation
class GF3FeeDistribution:
"""Distribute fees while maintaining GF(3) conservation."""
def distribute(self, total_fee: int) -> dict:
"""
Split fee across GF(3) roles.
GENERATOR (+1): Intent creator rebate (optional)
COORDINATOR (0): Solver fee
VALIDATOR (-1): Validator reward
Sum must balance.
"""
solver_share = total_fee * 60 // 100 # 60% to solver
validator_share = total_fee * 30 // 100 # 30% to validator
rebate = total_fee - solver_share - validator_share # 10% rebate
return {
'generator': rebate, # +1 role
'coordinator': solver_share, # 0 role
'validator': validator_share, # -1 role
'sum': rebate + solver_share + validator_share,
'conserved': True # Fees sum to original total
}
Juvix Implementation
-- Solver fee in Juvix
module SolverFee;
type Fee := mkFee : Nat -> Fee;
computeFee : Intent -> Solution -> Fee;
computeFee intent solution :=
let value := solution-output-value solution in
let bps := 30 in -- 0.30%
mkFee (value * bps / 10000);
type FeeDistribution :=
mkDistribution : Fee -> Fee -> Fee -> FeeDistribution;
-- Fields: solver, validator, rebate
distribute : Fee -> FeeDistribution;
distribute (mkFee total) :=
let solver := total * 60 / 100 in
let validator := total * 30 / 100 in
let rebate := total - solver - validator in
mkDistribution (mkFee solver) (mkFee validator) (mkFee rebate);
Integration with Anoma Intents
def solve_with_fee(intent, solver):
"""
Complete solving workflow with fee handling.
GF(3) triad:
- intent (+1): User creates
- solver (0): Finds match
- validator (-1): Verifies
"""
# Solver finds optimal solution
solution = solver.solve(intent)
# Compute fee
fee = compute_fee(intent, solution)
# Attach fee to solution
solution.solver_fee = fee
solution.solver = solver.address
return solution
GF(3) Triads
solver-fee (0) ⊗ anoma-intents (+1) ⊗ intent-sink (-1) = 0 ✓
solver-fee (0) ⊗ polyglot-spi (+1) ⊗ dynamic-sufficiency (-1) = 0 ✓
solver-fee (0) ⊗ aptos-gf3-society (+1) ⊗ merkle-proof-validation (-1) = 0 ✓
Skill Name: solver-fee Type: Fee Mechanism / Economic Coordination Trit: 0 (ERGODIC - COORDINATOR) GF(3): Coordinates fee distribution between intent roles
Scientific Skill Interleaving
This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
Graph Theory
- networkx [○] via bicomodule
- Universal graph hub
Bibliography References
general: 734 citations in bib.duckdb
Cat# Integration
This skill maps to Cat# = Comod(P) as a bicomodule in the Prof home:
Trit: 0 (ERGODIC)
Home: Prof (profunctors/bimodules)
Poly Op: ⊗ (parallel composition)
Kan Role: Adj (adjunction bridge)
GF(3) Naturality
The skill participates in triads where:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.