fix: various proof shape + stacking + transcript fixes#2542
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Resolves INT-6749, INT-6753, INT-6757, INT-6761, INT-6764, INT-6765. In order of commit:
INT-6764: TranscriptAir: Non-permuted transcript rows leave the sponge state prover-controlled
INT-6765: TranscriptAir: Terminal FinalTranscriptStateBus export is not bound to the actual final transcript state
Asserts
pre_stateandpost_stateare equal on rows we do not permute.INT-6749: ProofShapeAir: Absent AIR rows can export arbitrary cached commitments
Replace the
local.is_validgate in theCachedTraceCommitBusmessage mult tolocal.is_present.INT-6761: UnivariateRoundAir: Univariate AIR does not carry the |D| * a_0 term forward to the a_|D| row
Constrain
local.s_0_sum_over_d == next.s_0_sum_over_don all rows we don't change it.INT-6757: OpeningClaimsAir: Opening coefficients can be permuted across stacked columns within a commitment
Constrain that
stacked_col_idxincrements by at most 1 each row, and that for eachis_last_claimeithercommit_idxorstacked_col_idxincrements by 1.INT-6753: ProofShapeAir: Summary row exports a forgeable n_logup
Issue was that the prover could increase
n_logupin order to decreaselimb_to_range_check * msb_limb_zero_bits_exp, making it easier to pass the range check. Added a range check to ensure that the MSB of the product above is 1.