How ETC Swap Works

Autonomy of a Swap
ETC Swap is an automated liquidity protocol powered by a constant product formula and implemented in a system of non-upgradeable smart contracts on the Ethereum Classic blockchain. It obviates the need for trusted intermediaries, prioritizing decentralization, censorship resistance, and security. ETC Swap is open-source software licensed under the GPL.
Each ETC Swap smart contract, or pair, manages a liquidity pool made up of reserves of two ERC-20 tokens.
Anyone can become a liquidity provider (LP) for a pool by depositing an equivalent value of each underlying token in return for pool tokens. These tokens track pro-rata LP shares of the total reserves, and can be redeemed for the underlying assets at any time.
Price Curve
Pairs act as automated market makers, standing ready to accept one token for the other as long as the “constant product” formula is preserved. This formula, most simply expressed as x * y = k, states that trades must not change the product (k) of a pair’s reserve balances (x and y). Because k remains unchanged from the reference frame of a trade, it is often referred to as the invariant. This formula has the desirable property that larger trades (relative to reserves) execute at exponentially worse rates than smaller ones.
In practice, ETC Swap applies a 0.3% fee to trades, which is added to reserves. As a result, each trade actually increases k. This functions as a payout to LPs, which is realized when they burn their pool tokens to withdraw their portion of total reserves.
Next Price Ratio
Because the relative price of the two pair assets can only be changed through trading, divergences between the ETC Swap price and external prices create arbitrage opportunities. This mechanism ensures that ETC Swap prices always trend toward the market-clearing price.

Further reading

To see how token swaps work in practice, and to walk through the lifecycle of a swap, check out Swaps. Or, to see how liquidity pools work, see Pools.
Ultimately, of course, the ETC Swap protocol is just smart contract code running on Ethereum Classic. To understand how they work, head over to Smart Contracts.