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R1CS Circuit Satisfiability

Definition

R1CS Circuit Satisfiability is a computational problem central to constructing certain types of zero-knowledge proofs, particularly those based on Quadratic Arithmetic Programs (QAPs). It involves determining if a given set of arithmetic constraints, expressed in a specific R1CS (Rank 1 Constraint System) format, can be satisfied by a set of input values. This concept underpins the validity of many cryptographic proofs.