Make_impl.Plookmodule PP : sig ... endtype public_parameters =
  (PP.prover_public_parameters * PP.verifier_public_parameters)
  * Kzg.Bls.Scalar.t array list
  * Kzg.Bls.Poly.t Plonk.Identities.SMap.tval format_tables : 
  tables:Kzg.Bls.Scalar.t array list list ->
  nb_columns:int ->
  length_not_padded:int ->
  length_padded:int ->
  Kzg.Bls.Scalar.t array listval common_preprocessing : 
  n:int ->
  domain:Kzg.Bls.Domain.t ->
  evaluations:Plonk.Identities.Evaluations.t Plonk.Identities.SMap.t ->
  Plonk.Identities.Evaluations.t Plonk.Identities.SMap.tval preprocessing : 
  domain:Kzg.Bls.Domain.t ->
  tables:Kzg.Bls.Scalar.t array list ->
  alpha:Kzg.Bls.Scalar.t option ->
  unit ->
  Kzg.Bls.Poly.t Plonk.Identities.SMap.tval prover_identities : 
  ?circuit_prefix:(string -> string) ->
  proof_prefix:(string -> string) ->
  wires_names:string list ->
  alpha:Kzg.Bls.Scalar.t option ->
  beta:Kzg.Bls.Scalar.t ->
  gamma:Kzg.Bls.Scalar.t ->
  n:int ->
  unit ->
  Plonk.Identities.prover_identitiesval verifier_identities : 
  ?circuit_prefix:(string -> string) ->
  proof_prefix:(string -> string) ->
  n:int ->
  generator:Kzg.Bls.Scalar.t ->
  wires_names:string list ->
  alpha:Kzg.Bls.Scalar.t option ->
  beta:Kzg.Bls.Scalar.t ->
  gamma:Kzg.Bls.Scalar.t ->
  unit ->
  Plonk.Identities.verifier_identitiesval f_map_contribution : 
  wires:Plonk.Identities.Evaluations.t Plonk.Identities.SMap.t ->
  gates:Kzg.Bls.Scalar.t array Plonk.Identities.SMap.t ->
  tables:Kzg.Bls.Scalar.t array list ->
  alpha:Kzg.Bls.Scalar.t option ->
  beta:Kzg.Bls.Scalar.t ->
  gamma:Kzg.Bls.Scalar.t ->
  domain:Kzg.Bls.Domain.t ->
  PP.PC.secret