What is functionSPACE?

functionSPACE is a public probability protocol and dev-toolkit for trading full probability distributions (PDFs) over continuous outcomes. Instead of “bucketed” yes/no or strike-based markets, traders express beliefs as smooth curves—and the protocol prices, aggregates, and settles them against a single, unified collateral pool.

Liquidity is organic (participant-funded), not rented from external market makers. Security is sovereign: market integrity is endogenously priced and enforced via the native resolution game and staking of the Epistemic Force Token (EFT). The result is a reflexive, self-financed, self-resolving information market primitive.

Developers get a lean, unopinionated “payoff engine”: a single integration that supports intent-based payoff design—from simple ranges to bespoke exposures—on top of one liquid pool per market.

functionSPACE is also engineered for on-chain practicality. PDFs are represented as fixed-length Bernstein coefficient vectors, giving guaranteed validity checks, gas-efficient math, and clean information-geometric “physics” for pricing, redemption, and settlement.

Here are some of the key features of functionSPACE:

Continuous, high-fidelity expression
Trade the full probability curve, not just points. Express unimodal, skewed, or multi-modal beliefs with one position.

Organic Liquidity (one pool)
Every position funds the shared pool; no external LPs required. Eliminates fragmented liquidity and “cold start” tax.

Symmetric redemption (two-sided liquidity)
Enter and exit via the same universal law: redemption is a symmetric trade priced by the same divergence function.

Truthful, continuous valuation → continuous settlement
The same generating potential that prices influence also scores final payouts, ensuring smooth convergence at resolution.

Sovereign Security (self-resolving truth)
EFT-bonded, adversarial resolution game with escalation and Schelling-point convergence; integrity is reflexively priced.

Immediate Payoff Profile (IPP)
Pre-trade, users see a precise payout curve for every possible outcome across the market range.

Developer-first “Payoff Engine”
Intent-based SDK that maps a desired payoff into a valid belief vector; pair it with the Market Explorer to build fast.

Computational tractability by design
Bernstein vectors give cheap validity checks, O(n) distance ops (with exact L2 via Gram matrix if needed).

Why use functionSPACE?

• Expressiveness that unlocks real use-cases
  From parametric insurance to volatility profiles and KPI hedges, trading PDFs powers instruments traditional markets can’t make tractable.

• Unified liquidity & faster time-to-market
  Create live, liquid markets in one transaction—no bespoke MMing, no fragmented pools.

• Oracle-free, reflexive security
  Resolution costs scale with value-at-stake; attackers face slashing plus reflexive devaluation of their EFT.

• Cognitive clarity for users
  IPP makes payouts transparent before capital is committed; exits remain fair via symmetric redemption.

• Lean, unopinionated core for builders
  One integration; many payoff designs; focus on your app logic, not liquidity and oracle plumbing.

Getting started with functionSPACE

1. Explore interactive market
   Use the Market demo to interact with markets, see the aggregate belief (consensus curve), pool size, and bounds.

2. Design a payoff
   In your app, call the Payoff Engine SDK’s inverse-design routine: input your desired payoff; get back a valid belief vector (subject to Bernstein constraints).

3. Submit (belief, principal)
   Your trade mints a unique Information Claim against the unified pool, your fluid entitlement priced by divergence from consensus.

4. Preview outcomes
   Render the IPP so users see exact payouts across the entire outcome range before confirming.

5. Manage risk
   Users to exit any time via symmetric redemption - same universal pricing law, perfect accounting coherence.