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HOL-Light: Add x86 AVX2 nttunpack proof#955

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mldsa-nttunpack-proof
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HOL-Light: Add x86 AVX2 nttunpack proof#955
jakemas wants to merge 1 commit intomainfrom
mldsa-nttunpack-proof

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@jakemas jakemas commented Feb 6, 2026

@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch from 3811162 to 1f57321 Compare February 6, 2026 19:34
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oqs-bot commented Feb 6, 2026

CBMC Results (ML-DSA-87)

Full Results (187 proofs)
Proof Status Current Previous Change
**TOTAL** 3341s 3296s +1.4%
polyvecl_pointwise_acc_montgomery_c 1087s 1162s -6%
mld_attempt_signature_generation 241s 228s +6%
polyvec_matrix_expand 186s 180s +3%
sign_verify_internal 177s 166s +7%
poly_pointwise_montgomery_c 167s 155s +8%
rej_uniform_native 149s 145s +3%
polyvec_matrix_expand_serial 127s 123s +3%
mld_ct_memcmp 84s 77s +9%
mld_invntt_layer 69s 64s +8%
mld_ntt_layer 53s 55s -4%
sign_signature_internal 38s 36s +6%
polymat_permute_bitrev_to_custom 29s 28s +4%
polyveck_invntt_tomont 29s 30s -3%
mld_compute_t0_t1_tr_from_sk_components 23s 24s -4%
poly_chknorm_c 23s 20s +15%
rej_uniform 22s 22s +0%
fqmul 20s 18s +11%
poly_uniform_eta_4x 20s 18s +11%
poly_uniform_4x 16s 14s +14%
rej_uniform_c 16s 16s +0%
keccakf1600x4_permute_native 15s 15s +0%
polyeta_unpack 15s 16s -6%
polyt0_unpack 14s 13s +8%
polyveck_decompose 14s 13s +8%
polyveck_add 13s 12s +8%
poly_add 12s 12s +0%
polyveck_power2round 12s 11s +9%
keccak_absorb_once_x4 11s 9s +22%
mld_check_pct 10s 9s +11%
mld_ntt_butterfly_block 10s 12s -17%
polyvec_matrix_pointwise_montgomery 10s 11s -9%
sign_pk_from_sk 10s 7s +43%
keccakf1600_permute_native 9s 9s +0%
mld_polyvecl_permute_bitrev_to_custom_native 9s 9s +0%
polyveck_caddq 9s 8s +12%
polyveck_sub 9s 5s +80%
unpack_sk 9s 9s +0%
keccak_absorb 8s 6s +33%
keccakf1600_permute 8s 6s +33%
mld_compute_pack_z 8s 4s +100%
mld_sample_s1_s2_serial 8s 7s +14%
pointwise_acc_native_x86_64 8s 6s +33%
poly_decompose_c 8s 7s +14%
polyveck_ntt 8s 8s +0%
polyveck_reduce 8s 11s -27%
polyveck_use_hint 8s 7s +14%
polyvecl_chknorm 8s 6s +33%
polyvecl_ntt 8s 8s +0%
polyz_unpack_c 8s 11s -27%
sign_open 8s 3s +167%
keccak_squeezeblocks_x4 7s 5s +40%
mld_sample_s1_s2 7s 7s +0%
pack_sig_z 7s 3s +133%
polyveck_pack_t0 7s 3s +133%
rej_eta_native 7s 6s +17%
sign_verify_pre_hash_shake256 7s 3s +133%
pointwise_acc_native_aarch64 6s 8s -25%
poly_caddq_c 6s 5s +20%
poly_challenge 6s 5s +20%
poly_invntt_tomont_native 6s 2s +200%
poly_pointwise_montgomery_native 6s 4s +50%
poly_uniform 6s 7s -14%
poly_uniform_eta 6s 5s +20%
polyveck_pointwise_poly_montgomery 6s 8s -25%
polyveck_shiftl 6s 6s +0%
unpack_hints 6s 8s -25%
unpack_sig 6s 2s +200%
keccak_squeeze 5s 3s +67%
poly_caddq 5s 3s +67%
poly_invntt_tomont 5s 3s +67%
poly_invntt_tomont_c 5s 3s +67%
poly_power2round 5s 5s +0%
poly_uniform_gamma1_4x 5s 3s +67%
polyt1_unpack 5s 1s +400%
polyveck_chknorm 5s 6s -17%
polyveck_unpack_eta 5s 5s +0%
polyveck_unpack_t0 5s 5s +0%
polyvecl_uniform_gamma1 5s 3s +67%
polyvecl_unpack_z 5s 4s +25%
sign 5s 7s -29%
sign_signature 5s 6s -17%
sign_signature_pre_hash_internal 5s 5s +0%
keccak_finalize 4s 2s +100%
keccakf1600_xor_bytes (big endian) 4s 3s +33%
mld_h 4s 4s +0%
mld_prepare_domain_separation_prefix 4s 5s -20%
pack_sk 4s 3s +33%
poly_chknorm 4s 5s -20%
poly_chknorm_native 4s 3s +33%
poly_chknorm_native_aarch64 4s 4s +0%
poly_decompose 4s 3s +33%
poly_shiftl 4s 1s +300%
poly_sub 4s 3s +33%
polyt0_pack 4s 2s +100%
polyveck_pack_w1 4s 2s +100%
polyvecl_pack_eta 4s 3s +33%
polyvecl_pointwise_acc_montgomery 4s 3s +33%
polyvecl_pointwise_acc_montgomery_native 4s 2s +100%
polyvecl_unpack_eta 4s 1s +300%
rej_eta 4s 3s +33%
rej_eta_c 4s 4s +0%
shake128_release 4s 3s +33%
sign_keypair_internal 4s 7s -43%
sign_verify 4s 6s -33%
sign_verify_extmu 4s 5s -20%
unpack_pk 4s 3s +33%
use_hint 4s 3s +33%
decompose 3s 1s +200%
keccak_f1600_x1_native_aarch64_v84a 3s 3s +0%
keccakf1600x4_extract_bytes 3s 1s +200%
keccakf1600x4_xor_bytes 3s 2s +50%
make_hint 3s 3s +0%
mld_ct_cmask_nonzero_u32 3s 2s +50%
mld_ct_get_optblocker_i64 3s 1s +200%
mld_ct_sel_int32 3s 2s +50%
mld_keccakf1600_extract_bytes 3s 2s +50%
mld_value_barrier_i64 3s 2s +50%
nttunpack_native_x86_64 3s - new
pack_pk 3s 2s +50%
pack_sig_c 3s 6s -50%
pack_sig_h_poly 3s 2s +50%
poly_caddq_native 3s 2s +50%
poly_caddq_native_aarch64 3s 3s +0%
poly_ntt_native 3s 5s -40%
poly_pointwise_montgomery 3s 2s +50%
poly_reduce 3s 1s +200%
poly_use_hint 3s 2s +50%
poly_use_hint_native 3s 3s +0%
polyveck_pack_eta 3s 4s -25%
polyvecl_permute_bitrev_to_custom 3s 4s -25%
polyvecl_uniform_gamma1_serial 3s 4s -25%
polyw1_pack 3s 3s +0%
polyz_unpack 3s 4s -25%
reduce32 3s 2s +50%
shake128_absorb 3s 1s +200%
shake128_squeeze 3s 2s +50%
shake128x4_squeezeblocks 3s 2s +50%
shake256 3s 3s +0%
shake256_squeeze 3s 3s +0%
shake256x4_absorb_once 3s 3s +0%
sign_keypair 3s 3s +0%
sign_signature_extmu 3s 5s -40%
sign_verify_pre_hash_internal 3s 4s -25%
fqscale 2s 2s +0%
intt_native_x86_64 2s 3s -33%
keccak_f1600_x4_native_aarch64_v84a 2s 3s -33%
keccak_f1600_x4_native_aarch64_v8a_v84a_scalar_hybrid 2s 2s +0%
keccak_init 2s 4s -50%
keccakf1600_extract_bytes (big endian) 2s 1s +100%
keccakf1600_xor_bytes 2s 2s +0%
keccakf1600x4_permute 2s 4s -50%
mld_ct_abs_i32 2s 2s +0%
mld_ct_cmask_neg_i32 2s 2s +0%
mld_ct_cmask_nonzero_u8 2s 2s +0%
mld_value_barrier_u32 2s 2s +0%
montgomery_reduce 2s 4s -50%
ntt_native_aarch64 2s 4s -50%
ntt_native_x86_64 2s 3s -33%
pointwise_native_aarch64 2s 1s +100%
pointwise_native_x86_64 2s 4s -50%
poly_decompose_native 2s 4s -50%
poly_make_hint 2s 4s -50%
poly_ntt 2s 2s +0%
poly_ntt_c 2s 3s -33%
poly_uniform_gamma1 2s 4s -50%
poly_use_hint_c 2s 3s -33%
polyeta_pack 2s 3s -33%
polyt1_pack 2s 4s -50%
polyz_unpack_native 2s 3s -33%
shake128_finalize 2s 2s +0%
shake128_init 2s 1s +100%
shake128x4_absorb_once 2s 2s +0%
shake256_absorb 2s 2s +0%
shake256_finalize 2s 3s -33%
shake256_release 2s 3s -33%
shake256x4_squeezeblocks 2s 1s +100%
sign_signature_pre_hash_shake256 2s 4s -50%
sys_check_capability 2s 1s +100%
caddq 1s 3s -67%
keccak_f1600_x1_native_aarch64 1s 6s -83%
keccak_f1600_x4_native_aarch64_v8a_scalar_hybrid 1s 1s +0%
mld_ct_get_optblocker_u32 1s 2s -50%
mld_ct_get_optblocker_u8 1s 2s -50%
mld_value_barrier_u8 1s 4s -75%
polyz_pack 1s 1s +0%
power2round 1s 3s -67%
shake256_init 1s 3s -67%

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oqs-bot commented Feb 6, 2026

CBMC Results (ML-DSA-44)

Full Results (187 proofs)
Proof Status Current Previous Change
**TOTAL** 1836s 1828s +0.4%
sign_verify_internal 213s 217s -2%
polyvecl_pointwise_acc_montgomery_c 157s 155s +1%
poly_pointwise_montgomery_c 153s 139s +10%
rej_uniform_native 137s 136s +1%
mld_attempt_signature_generation 124s 123s +1%
mld_ct_memcmp 71s 74s -4%
mld_invntt_layer 64s 61s +5%
mld_ntt_layer 50s 50s +0%
polymat_permute_bitrev_to_custom 28s 27s +4%
polyvec_matrix_expand 25s 27s -7%
rej_uniform 22s 22s +0%
sign_signature_internal 22s 21s +5%
fqmul 18s 22s -18%
poly_chknorm_c 18s 18s +0%
poly_uniform_eta_4x 16s 18s -11%
polyeta_unpack 14s 13s +8%
poly_uniform_4x 13s 14s -7%
rej_uniform_c 13s 14s -7%
keccakf1600x4_permute_native 12s 13s -8%
mld_compute_t0_t1_tr_from_sk_components 12s 14s -14%
mld_ntt_butterfly_block 12s 11s +9%
poly_add 12s 11s +9%
polyt0_unpack 12s 14s -14%
polyz_unpack_c 12s 12s +0%
polyvec_matrix_expand_serial 11s 7s +57%
keccak_absorb_once_x4 10s 10s +0%
polyvec_matrix_pointwise_montgomery 10s 7s +43%
polyveck_decompose 10s 10s +0%
polyveck_add 9s 8s +12%
keccakf1600_permute 8s 8s +0%
keccakf1600_permute_native 8s 7s +14%
mld_check_pct 8s 10s -20%
sign 8s 9s -11%
keccak_absorb 7s 5s +40%
mld_compute_pack_z 7s 7s +0%
poly_decompose_c 7s 8s -12%
polyveck_caddq 7s 3s +133%
polyveck_ntt 7s 5s +40%
polyveck_pointwise_poly_montgomery 7s 6s +17%
polyveck_sub 7s 7s +0%
mld_h 6s 5s +20%
pack_sig_z 6s 4s +50%
pointwise_acc_native_aarch64 6s 4s +50%
poly_invntt_tomont_c 6s 5s +20%
poly_use_hint_native 6s 4s +50%
polyveck_shiftl 6s 7s -14%
rej_eta_native 6s 7s -14%
sign_pk_from_sk 6s 9s -33%
unpack_sk 6s 7s -14%
keccak_init 5s 3s +67%
mld_polyvecl_permute_bitrev_to_custom_native 5s 3s +67%
mld_prepare_domain_separation_prefix 5s 3s +67%
mld_sample_s1_s2_serial 5s 4s +25%
pointwise_acc_native_x86_64 5s 5s +0%
pointwise_native_aarch64 5s 3s +67%
poly_caddq_c 5s 5s +0%
poly_challenge 5s 4s +25%
poly_uniform_gamma1_4x 5s 2s +150%
poly_use_hint_c 5s 4s +25%
polyveck_power2round 5s 4s +25%
polyveck_reduce 5s 4s +25%
polyveck_use_hint 5s 4s +25%
polyvecl_ntt 5s 6s -17%
polyvecl_pointwise_acc_montgomery_native 5s 3s +67%
polyz_unpack_native 5s 2s +150%
sign_keypair_internal 5s 4s +25%
sign_signature_extmu 5s 4s +25%
sign_signature_pre_hash_internal 5s 4s +25%
fqscale 4s 3s +33%
keccak_f1600_x1_native_aarch64_v84a 4s 2s +100%
keccakf1600_extract_bytes (big endian) 4s 2s +100%
mld_sample_s1_s2 4s 5s -20%
mld_value_barrier_i64 4s 2s +100%
pack_pk 4s 2s +100%
pack_sig_h_poly 4s 2s +100%
poly_invntt_tomont_native 4s 4s +0%
poly_ntt_native 4s 3s +33%
poly_uniform_eta 4s 7s -43%
polyt1_pack 4s 3s +33%
polyveck_invntt_tomont 4s 5s -20%
polyveck_pack_w1 4s 1s +300%
polyveck_unpack_eta 4s 2s +100%
polyvecl_pack_eta 4s 3s +33%
polyvecl_pointwise_acc_montgomery 4s 2s +100%
polyz_pack 4s 3s +33%
power2round 4s 3s +33%
shake128_absorb 4s 4s +0%
shake128x4_absorb_once 4s 2s +100%
shake256x4_absorb_once 4s 3s +33%
sign_signature 4s 2s +100%
sign_signature_pre_hash_shake256 4s 4s +0%
sign_verify_pre_hash_internal 4s 2s +100%
sys_check_capability 4s 2s +100%
unpack_hints 4s 7s -43%
unpack_sig 4s 2s +100%
caddq 3s 2s +50%
intt_native_x86_64 3s 4s -25%
keccak_f1600_x4_native_aarch64_v8a_v84a_scalar_hybrid 3s 2s +50%
keccak_finalize 3s 3s +0%
keccak_squeeze 3s 4s -25%
keccak_squeezeblocks_x4 3s 5s -40%
keccakf1600x4_permute 3s 3s +0%
make_hint 3s 4s -25%
mld_ct_cmask_nonzero_u8 3s 3s +0%
mld_ct_get_optblocker_i64 3s 2s +50%
mld_ct_get_optblocker_u32 3s 3s +0%
mld_ct_get_optblocker_u8 3s 3s +0%
mld_value_barrier_u8 3s 4s -25%
ntt_native_aarch64 3s 4s -25%
nttunpack_native_x86_64 3s - new
pack_sig_c 3s 4s -25%
pack_sk 3s 2s +50%
pointwise_native_x86_64 3s 5s -40%
poly_caddq 3s 3s +0%
poly_chknorm_native 3s 4s -25%
poly_decompose 3s 3s +0%
poly_invntt_tomont 3s 2s +50%
poly_make_hint 3s 4s -25%
poly_ntt 3s 3s +0%
poly_pointwise_montgomery_native 3s 5s -40%
poly_power2round 3s 4s -25%
poly_shiftl 3s 5s -40%
poly_uniform_gamma1 3s 3s +0%
polyt0_pack 3s 3s +0%
polyt1_unpack 3s 3s +0%
polyveck_chknorm 3s 4s -25%
polyveck_pack_t0 3s 2s +50%
polyvecl_chknorm 3s 5s -40%
polyvecl_uniform_gamma1_serial 3s 4s -25%
polyvecl_unpack_eta 3s 3s +0%
rej_eta_c 3s 5s -40%
shake128_squeeze 3s 3s +0%
shake256_init 3s 7s -57%
shake256x4_squeezeblocks 3s 2s +50%
sign_open 3s 3s +0%
sign_verify 3s 6s -50%
sign_verify_pre_hash_shake256 3s 3s +0%
use_hint 3s 2s +50%
decompose 2s 3s -33%
keccak_f1600_x1_native_aarch64 2s 1s +100%
keccak_f1600_x4_native_aarch64_v84a 2s 1s +100%
keccakf1600_xor_bytes 2s 3s -33%
keccakf1600_xor_bytes (big endian) 2s 2s +0%
mld_ct_abs_i32 2s 1s +100%
mld_ct_cmask_neg_i32 2s 1s +100%
mld_ct_cmask_nonzero_u32 2s 4s -50%
mld_ct_sel_int32 2s 1s +100%
mld_value_barrier_u32 2s 2s +0%
ntt_native_x86_64 2s 3s -33%
poly_caddq_native 2s 4s -50%
poly_caddq_native_aarch64 2s 2s +0%
poly_chknorm 2s 5s -60%
poly_chknorm_native_aarch64 2s 3s -33%
poly_decompose_native 2s 2s +0%
poly_ntt_c 2s 3s -33%
poly_pointwise_montgomery 2s 3s -33%
poly_reduce 2s 6s -67%
poly_sub 2s 4s -50%
poly_uniform 2s 5s -60%
poly_use_hint 2s 5s -60%
polyeta_pack 2s 1s +100%
polyveck_pack_eta 2s 4s -50%
polyveck_unpack_t0 2s 4s -50%
polyvecl_permute_bitrev_to_custom 2s 6s -67%
polyvecl_uniform_gamma1 2s 1s +100%
polyvecl_unpack_z 2s 2s +0%
polyz_unpack 2s 4s -50%
reduce32 2s 1s +100%
rej_eta 2s 3s -33%
shake128_init 2s 2s +0%
shake128x4_squeezeblocks 2s 1s +100%
shake256 2s 3s -33%
shake256_finalize 2s 2s +0%
shake256_release 2s 2s +0%
shake256_squeeze 2s 1s +100%
sign_keypair 2s 3s -33%
sign_verify_extmu 2s 5s -60%
unpack_pk 2s 1s +100%
keccak_f1600_x4_native_aarch64_v8a_scalar_hybrid 1s 2s -50%
keccakf1600x4_extract_bytes 1s 2s -50%
keccakf1600x4_xor_bytes 1s 5s -80%
mld_keccakf1600_extract_bytes 1s 2s -50%
montgomery_reduce 1s 1s +0%
polyw1_pack 1s 2s -50%
shake128_finalize 1s 4s -75%
shake128_release 1s 2s -50%
shake256_absorb 1s 2s -50%

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oqs-bot commented Feb 6, 2026

CBMC Results (ML-DSA-65)

Full Results (187 proofs)
Proof Status Current Previous Change
**TOTAL** 2743s 2577s +6.4%
polyvecl_pointwise_acc_montgomery_c 715s 646s +11%
sign_verify_internal 283s 269s +5%
poly_pointwise_montgomery_c 184s 162s +14%
rej_uniform_native 152s 142s +7%
polyvec_matrix_expand 90s 85s +6%
mld_attempt_signature_generation 88s 83s +6%
mld_ct_memcmp 83s 78s +6%
mld_invntt_layer 68s 69s -1%
mld_ntt_layer 57s 52s +10%
polyvec_matrix_expand_serial 52s 51s +2%
polymat_permute_bitrev_to_custom 39s 35s +11%
mld_compute_t0_t1_tr_from_sk_components 27s 27s +0%
sign_signature_internal 27s 28s -4%
rej_uniform 24s 23s +4%
fqmul 21s 21s +0%
poly_chknorm_c 20s 21s -5%
polyveck_decompose 18s 19s -5%
poly_uniform_eta_4x 17s 20s -15%
rej_uniform_c 16s 15s +7%
poly_uniform_4x 15s 15s +0%
keccakf1600x4_permute_native 14s 14s +0%
polyt0_unpack 14s 13s +8%
polyvec_matrix_pointwise_montgomery 14s 13s +8%
polyveck_power2round 14s 12s +17%
keccak_absorb_once_x4 12s 11s +9%
mld_check_pct 12s 12s +0%
mld_ntt_butterfly_block 12s 11s +9%
poly_add 12s 10s +20%
polyveck_add 11s 10s +10%
keccakf1600_permute 10s 8s +25%
keccakf1600_permute_native 10s 10s +0%
polyveck_caddq 10s 9s +11%
polyvecl_ntt 10s 9s +11%
polyveck_invntt_tomont 9s 7s +29%
polyveck_use_hint 9s 8s +12%
keccak_squeezeblocks_x4 8s 5s +60%
mld_compute_pack_z 8s 10s -20%
pointwise_acc_native_aarch64 8s 6s +33%
polyveck_pointwise_poly_montgomery 8s 8s +0%
polyveck_sub 8s 9s -11%
sign_pk_from_sk 8s 7s +14%
keccak_absorb 7s 8s -12%
poly_caddq_c 7s 5s +40%
poly_uniform 7s 4s +75%
polyveck_ntt 7s 6s +17%
polyveck_reduce 7s 7s +0%
polyveck_shiftl 7s 7s +0%
unpack_sk 7s 9s -22%
mld_polyvecl_permute_bitrev_to_custom_native 6s 3s +100%
pointwise_acc_native_x86_64 6s 8s -25%
polyeta_unpack 6s 5s +20%
polyvecl_pointwise_acc_montgomery 6s 4s +50%
sign 6s 7s -14%
sign_keypair_internal 6s 6s +0%
sign_open 6s 6s +0%
unpack_sig 6s 4s +50%
intt_native_x86_64 5s 3s +67%
keccak_f1600_x4_native_aarch64_v8a_v84a_scalar_hybrid 5s 1s +400%
keccakf1600_xor_bytes (big endian) 5s 3s +67%
pointwise_native_x86_64 5s 4s +25%
poly_chknorm_native_aarch64 5s 4s +25%
poly_decompose_c 5s 6s -17%
poly_invntt_tomont_c 5s 7s -29%
poly_uniform_gamma1_4x 5s 3s +67%
poly_use_hint_native 5s 3s +67%
polyt1_pack 5s 4s +25%
polyt1_unpack 5s 2s +150%
polyveck_chknorm 5s 5s +0%
polyveck_unpack_t0 5s 5s +0%
polyvecl_pointwise_acc_montgomery_native 5s 4s +25%
sign_keypair 5s 4s +25%
unpack_hints 5s 5s +0%
caddq 4s 2s +100%
keccak_f1600_x1_native_aarch64_v84a 4s 2s +100%
keccak_f1600_x4_native_aarch64_v84a 4s 2s +100%
keccak_f1600_x4_native_aarch64_v8a_scalar_hybrid 4s 2s +100%
keccak_init 4s 2s +100%
keccakf1600x4_extract_bytes 4s 3s +33%
keccakf1600x4_permute 4s 3s +33%
keccakf1600x4_xor_bytes 4s 3s +33%
mld_ct_cmask_nonzero_u32 4s 4s +0%
mld_ct_get_optblocker_u32 4s 2s +100%
mld_sample_s1_s2 4s 7s -43%
mld_sample_s1_s2_serial 4s 7s -43%
mld_value_barrier_u32 4s 2s +100%
montgomery_reduce 4s 4s +0%
ntt_native_aarch64 4s 4s +0%
ntt_native_x86_64 4s 3s +33%
nttunpack_native_x86_64 4s - new
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mld_ct_sel_int32 2s 3s -33%
mld_keccakf1600_extract_bytes 2s 2s +0%
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@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch from 2458351 to 8185ec7 Compare February 6, 2026 20:16
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Looks good, @jakemas, thank you! Can you please to the CBMC spec+proof at the same time? You can express in C that the output is a permutation of the input.

@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch 3 times, most recently from cca5edc to 99ba911 Compare February 13, 2026 18:44
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jakemas commented Feb 13, 2026

Looks good, @jakemas, thank you! Can you please to the CBMC spec+proof at the same time? You can express in C that the output is a permutation of the input.

Thanks! Added CBMC contract.

@jakemas jakemas marked this pull request as ready for review February 13, 2026 18:47
@jakemas jakemas requested a review from a team as a code owner February 13, 2026 18:47
Comment on lines +391 to +405
let nttunpack_order = new_definition
`nttunpack_order i =
let block = i DIV 64 in
let pos = i MOD 64 in
let lane = pos DIV 8 in
let offset = pos MOD 8 in
64 * block + 8 * offset + lane`;;

let nttunpack_unorder = new_definition
`nttunpack_unorder i =
let block = i DIV 64 in
let pos = i MOD 64 in
let lane = pos MOD 8 in
let offset = pos DIV 8 in
64 * block + 8 * lane + offset`;;
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This reordering is the same as used for the specification of the [inv]NTT, or not? It determines how the custom NTT domain differs from the normal bitreversed one.

If I understand that correctly, we should reuse the same definition(s) as for the [inv]NTT proofs.

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The nttunpack order is the intra-block component of the full AVX2 NTT order, specifically, mldsa_avx2_ntt_order = bitreverse8 * nttunpack_order. They're related but not identical, since the NTT order additionally applies bitreverse8 on top.

I've moved nttunpack_order/nttunpack_unorder to common/mldsa_specs.ml so the definitions are shared. A follow-up could refactor mldsa_avx2_ntt_order to be expressed in terms of nttunpack_order and prove the composition relationship as a lemma. This may require changes to ntt/intt as the pattern matching may no longer work. I'll test it out.

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Ok, I’ve refactored mldsa_avx2_ntt_order to be defined as bitreverse8(nttunpack_order i) directly. All downstream clause computations (MLDSA_AVX2_NTT_ORDER_CLAUSES, MLDSA_FORWARD_NTT_CONV, etc.) work with the new definition. The NTT/iNTT proofs re-running in CI to confirm.

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I tried redefining mldsa_avx2_ntt_order directly in terms of nttunpack_order, but the NTT proof breaks, it pattern-matches on the expanded arithmetic form during simulation. Keeping the original definition with the decomposition lemma alongside it seemed like the right tradeoff. Proposing a follow up to clean this up, but don't want to block the addition of the proof on it longer. iNTT/NTT proofs are ~3hours to run.

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As I understand, the permutation here should be the same as for the [inv]NTT, so we should have only one set of HOL definition for those in mlkem_specs.ml.

@mkannwischer mkannwischer self-assigned this Apr 1, 2026
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@jakemas, could you please rebase this and address @hanno-becker's feedback?

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@jakemas: Gentle ping. Could you please get this into shape for merging?

@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch 5 times, most recently from 8886dcd to 223ba07 Compare April 14, 2026 12:00
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jakemas commented Apr 14, 2026

@hanno-becker @mkannwischer Okay, shaped up and ready for merge. I've added a mldsa_avx2_ntt_order and nttunpack_order connection proof, and will investigate reformatting the ntt/intt proofs as a follow up.

(* mldsa_avx2_ntt_order decomposes as bitreverse8 after nttunpack_order.     *)
let MLDSA_AVX2_NTT_ORDER_DECOMPOSE = prove
 (`!i. i < 256
       ==> mldsa_avx2_ntt_order i = bitreverse8(nttunpack_order i)`,
  CONV_TAC EXPAND_CASES_CONV THEN CONV_TAC NUM_REDUCE_CONV THEN
  REWRITE_TAC[mldsa_avx2_ntt_order; nttunpack_order; LET_DEF; LET_END_DEF] THEN
  CONV_TAC NUM_REDUCE_CONV THEN
  REWRITE_TAC[bitreverse8] THEN CONV_TAC(DEPTH_CONV WORD_RED_CONV));;

@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch from 223ba07 to 497f6c3 Compare April 14, 2026 18:00
Signed-off-by: Jake Massimo <jakemas@amazon.com>
@jakemas jakemas force-pushed the mldsa-nttunpack-proof branch from 497f6c3 to 2405606 Compare April 15, 2026 08:40
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HOL-Light: Prove AVX2 nttunpack

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