package octez-libs
Output signature of the functor Polynomial_protocol.Make
.
module PC : Kzg.Interfaces.Polynomial_commitment
Underlying polynomial commitment scheme on which the polynomial protocol is based. Input of the functor Polynomial_protocol.Make
.
type prover_public_parameters = PC.Public_parameters.prover
The type of prover public parameters.
val prover_public_parameters_t : prover_public_parameters Repr.t
type verifier_public_parameters = PC.Public_parameters.verifier
The type of verifier public parameters.
val verifier_public_parameters_t : verifier_public_parameters Repr.t
The type for proofs, containing a commitment to the polynomial T that asserts the satisfiability of the identities over the subset of interest, as well as a PC
proof and a list of PC
answers.
val setup :
setup_params:PC.Public_parameters.setup_params ->
srs:(Kzg.Bls.Srs.t * Kzg.Bls.Srs.t) ->
prover_public_parameters
* verifier_public_parameters
* Kzg.Utils.Transcript.t
The polynomial commitment setup function, requires a labeled argument of setup parameters for the underlying PC
and a labeled argument containing the path location of a set of SRS files.
val prove :
prover_public_parameters ->
Kzg.Utils.Transcript.t ->
n:int ->
generator:Kzg.Bls.Scalar.t ->
secrets:
(Kzg.Bls.Poly.t Plonk.Identities.SMap.t * PC.Commitment.prover_aux) list ->
eval_points:Identities.eval_point list list ->
evaluations:Identities.Evaluations.t Plonk.Identities.SMap.t ->
identities:Identities.prover_identities ->
nb_of_t_chunks:int ->
proof * Kzg.Utils.Transcript.t
The prover function. Takes as input the prover_public_parameters
, an initial transcript
(possibly including a context if this prove
is used as a building block of a bigger protocol), the size n
of subgroup H, the canonical generator
of subgroup H, a list of secrets
including polynomials that have supposedly been committed (and a verifier received such commitments) as well as prover auxiliary information generated during the committing process, a list of evaluation point lists specifying the evaluation points where each secret needs to be evaluated at, a map of the above-mentioned polynomials this time in FFT evaluations
form, for efficient polynomial multiplication, and some prover_identities
that are supposedly satisfied by the secret polynomials. Outputs a proof and an updated transcript.
val verify :
verifier_public_parameters ->
Kzg.Utils.Transcript.t ->
n:int ->
generator:Kzg.Bls.Scalar.t ->
commitments:PC.Commitment.t list ->
eval_points:Identities.eval_point list list ->
identities:Identities.verifier_identities ->
proof ->
bool * Kzg.Utils.Transcript.t
The verifier function. Takes as input the verifier_public_parameters
, an initial transcript
(that should coincide with the initial transcript used by prove
), the size n
of subgroup H, the canonical generator
of subgroup H, a list of commitments
to the secret polynomials by the prover, a list of evaluation points as in prove
, some verifier_identities
, and a proof
. Outputs a bool
value representing acceptance or rejection.