PartyB

Also referred to Solver Hedger MarketMaker

PartyB, Solvers, Hedgers, Counterparty or MarketMaker describe the same entity in SYMMIO, they describe the Executing party of a Trade contrarian to the requesting entity, which would be referred to as PartyA, Trader or User.

PartyB

PartyB is the TradFi term used to describe a counterparty in a Swap Agreement.

Counterparty: Definition, Types of Counterparties, and ExamplesInvestopedia

It was the first term we gave to counterparties in the SYMMIO ecosystem, a PartyA is the Trader that initiates the trade, a PartyB is the counterparty that accepts the trade. In SYMMIO PartyB is the counterparty which is declared as an Address on the SYMMIO core contract.

protocol-core/contracts/facets/PartyB at main · SYMM-IO/protocol-coreGitHub

Solver

Solver is the established industry term for counterpartys in intent-based systems, PartyBs in SYMMIO can also be referred as Solver, it makes sense to especially refer to the onchain parts of a PartyB as "Solver", there could be Counterparties that exist as multiple entities, solvers that handle the onchain execution and MarketMakers or Hedgers that handle offchain liquidity. https://www.linkedin.com/pulse/realizing-user-centric-experiences-promise-intent-based-bao-ngoc-le/

Hedger