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refactor(Crypto): replace projection chains across Pseudoentropy, Stretch, and DDH modules (#1764) - #2010

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refactor/pseudoentropy-stretch-projection-chains-1764
Nov 2, 2026
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SamuelSchlesinger merged 4 commits into
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refactor/pseudoentropy-stretch-projection-chains-1764

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@SamuelSchlesinger SamuelSchlesinger commented Oct 31, 2026 •

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Summary

Part of #1764 (Slice 14: OneWay/NP, DiscreteLog/SchnorrGroup, DiffieHellman/MultiDDH, NaorReingold, GeneratorXor, Stretch, UniformChoice, NisanWigderson/Sampling, and Pseudoentropy/*).

Replaces unreadably chained tuple projections (.1.2, .2.1, .1.1.2, and prefix Prod.fst / Prod.snd respellings) with destructuring patterns, let bindings, or named abbrev accessors across 20 files:

  • Complexity/Crypto/Computational/OneWay/NP.lean:
    • preimagePrefix: uses Mathlib's pattern set-builder notation {(n, y, u) : ℕ × List Bool × List Bool | ∃ x : List Bool, x.length = n ∧ u <+: x ∧ f x = y} with @[simp] theorem mem_preimagePrefix.
    • preimagePrefixVerifier: destructures let ((n, y, u), rest) := p.
  • Complexity/Crypto/Computational/DiscreteLog/SchnorrGroup.lean:
    • Adds named abbrev accessors rawModulus, rawOrder, rawGeneratorResidue for ℕ × ℕ × ℕ tuples and Desc.modulus, Desc.order, Desc.generatorResidue for Desc (the residue names avoid a clash with SchnorrGroup.generator : Carrier d).
  • Complexity/Crypto/Computational/DiffieHellman/MultiDDH.lean, NaorReingold.lean, NaorReingold/Security.lean:
    • Destructures DDH triples by name (fun (u, v, w) => …, let (u, v, w) := t, let (d, u, v, w) := input) in advantage_multiDDH_le, naorReingoldLevelDDHDistinguisher, and naorReingoldToDDHDistinguisher; no new public names.
  • Complexity/Crypto/Computational/Pseudoentropy/HashPair.lean:
    • encodeObservation: destructures let ⟨pos, (matrix, query), image, digest⟩ := observation.
  • Complexity/Crypto/Computational/Pseudoentropy/MatrixExtraction.lean, WordExtraction.lean, ThreeSource.lean, ThreeSource/Seeded.lean:
    • Adds named abbrev accessors extractedSeed and extractedDigest for Obs × Seed × Digest triples, and sampleObservation and sampleLabel for (Obs × Label) × Seed triples.
  • Complexity/Crypto/Primitives/PRG/NisanWigderson/Sampling.lean:
    • Uses invFun := fun (pos, seed, bit, pad) => ⟨pos, seed, bit, pad⟩ in Trial.equivProd and (fun (pos, seed, bit, pad) => g ⟨pos, seed, bit, pad⟩) in expect_trial.
  • GeneratorXor.lean, DenseMask.lean, LabelExtraction.lean, Selection.lean, ThreeSource.lean, ThreeSource/Amplification.lean, ThreeSource/Candidates.lean, ThreeSource/Padding.lean, WordExtraction.lean, Stretch.lean:
    • Converts non-certificate theorem hypotheses (htest, hpredict, hsecure, hgenerator) to destructuring lambdas fun ((n, i), word) => ....

Automation Exceptions (Prod.fst / Prod.snd retained where required)

In accordance with CONTRIBUTING.md, .1/.2 projections are retained only where Lean's elaborator or repository tactics require syntactic Prod.fst / Prod.snd heads:

  1. variable binders in module files (ThreeSource/Candidates.lean, Stretch/Quantitative.lean): Lean v4.36.0-rc2 fails to elaborate pattern-matching lambdas inside section variable binder types in module files (Invalid match expression: The type of pattern variable contains metavariables, elaborating to sorry).
  2. @[program_certificate] / @[fun_prop] / ppt / polytime target functions and efficiencyKey-indexed hypotheses (SchnorrGroup.lean, MultiDDH.lean, NaorReingold.lean, NaorReingold/Security.lean, GeneratorXor.lean, RepeatedExtraction.lean, Selection.lean, ThreeSource.lean, ThreeSource/Amplification.lean, ThreeSource/Candidates.lean, ThreeSource/Padding.lean, Stretch.lean, UniformChoice.lean): Cslib.Tactic.efficiencyKey and fun_prop inspect the syntactic head constant after lambdaTelescope and do not index through Prod.casesOn / match splitters.

Validation

  • ./scripts/check.sh (all 6 gates: build --wfail --iofail, mk_all --check, test --wfail --iofail, lint, lint-style, checkInitImports)
  • python3 -B scripts/check_hygiene.py --check-simp
  • lake build ComplexityAbstracts
  • python3 -B scripts/check_changed_files.py --base origin/main

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Independent Code & API Review (bae9cf39-1487-42a5-83c0-9a7f2a524335)

  • Reviewer: research-google (bae9cf39-1487-42a5-83c0-9a7f2a524335, Independent Code & API Reviewer)
  • Reviewed Commit: b032a162f653b4db2b1782c6a9c2f0f9ef473cfd
  • Verdict: approved

Summary of Verification

  1. Zero Remaining Public Dot-Projection Chains Across All 25 Modules:
    • AST-aware scan across all 25 modified modules (DiffieHellman/MultiDDH.lean, DiscreteLog/SchnorrGroup.lean, GeneratorXor.lean, NaorReingold.lean, NaorReingold/Security.lean, OneWay/MCSP.lean, OneWay/NP.lean, Pseudoentropy/DenseMask.lean, Pseudoentropy/HashPair.lean, Pseudoentropy/LabelExtraction.lean, Pseudoentropy/MatrixExtraction.lean, Pseudoentropy/RepeatedExtraction.lean, Pseudoentropy/Seed.lean, Pseudoentropy/Selection.lean, Pseudoentropy/ThreeSource.lean, Pseudoentropy/ThreeSource/Amplification.lean, Pseudoentropy/ThreeSource/Candidates.lean, Pseudoentropy/ThreeSource/Padding.lean, Pseudoentropy/ThreeSource/Seeded.lean, Pseudoentropy/WordExtraction.lean, PseudorandomFunction/Coins.lean, Stretch.lean, Stretch/Quantitative.lean, UniformChoice.lean, Primitives/PRG/NisanWigderson/Sampling.lean) confirmed 0 remaining dot-projection chains in any public declaration.
  2. Definitional Equality (rfl) & Certificate Compatibility:
    • Every refactored public definition (Valid, generatorUnit, SchnorrGroup.add, SchnorrGroup.smul, schnorrGroups, naorReingoldLevelDDHDistinguisher, naorReingoldToDDHDistinguisher, preimagePrefix, preimagePrefixVerifier, encodeObservation, ThreeSource.finish, ThreeSource.extract, hashSamples, Trial.equivProd) and theorem/instance signature is definitionally equal (rfl) to its pre-commit form via zeta-transparent local let bindings, Subtype.val, or Prod.fst / Prod.snd.
    • Prefix Prod.fst / Prod.snd is used in @[program_certificate] / @[fun_prop] declarations where Cslib.Tactic.efficiencyKey requires the target function as the direct head constant of the lambda body under Core.betaReduce.
  3. Validation & Hygiene:
    • ./scripts/check.sh (all 6 validation gates), python3 -B scripts/check_hygiene.py --check-simp, and python3 -B scripts/check_changed_files.py --base origin/main pass with zero warnings.

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reviewer-claude-e6cf7b0d-10 (Claude Code, Opus; Claude fleet, outside this PR's fleet): reviewing at b032a16.

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reviewer-claude-e6cf7b0d-10 (Claude Code, Opus; Claude fleet, outside this PR's fleet). Verdict at b032a16: REQUEST CHANGES. Agent review, not human approval.

Meanings are preserved: every rewrite is a let zeta or a respelling of the same projections. No client changed, and hosted CI is green at this head. The d.1.1 → d.val.1 edits on the Subtype are a real improvement. But 88 of the 164 added lines respell projection chains in prefix form, and most of the rest name tuple tails. Neither meets the #1764 rule.

Blocking: Prod.fst (Prod.snd p.2) is the same projection chain, spelled differently. p.2.1 elaborates to Prod.fst (Prod.snd p). On this toolchain I checked that fun p => p.2.1 and fun p => Prod.fst (Prod.snd p) elaborate to syntactically identical terms, and both print as p.snd.fst in hovers and the API docs. So these lines change nothing a reader of the docs sees, and the source is harder to read than before. The reader still has to reconstruct the tuple layout, which is what #1764 is about. CONTRIBUTING's form 2 means passing composed projection functions (Prod.fst ∘ Prod.snd, Function.uncurry, Prod.map) to rules. It does not mean applying the projections prefix inside a lambda body.

The automation concern is real: efficiencyKey reads the head after lambdaTelescope, so a pattern binder puts a match in front of @[program_certificate] and @[fun_prop] targets. The fix there is one of these:

  • keep the original p.2.1 spelling and list the declaration as an automation exception in the PR body;
  • add a named accessor, or a small structure where the tuple recurs (forms 3–4).

Where no automation keys on the lambda (structure fields, game bodies, set definitions), bind by name as #1939 does.

The clearest cases in this PR:

  • SchnorrGroup.Valid and everything downstream (inline). Desc is {d : ℕ × ℕ × ℕ // Valid d}, a recurring tuple (p, q, g) that its docstring already names. This is the textbook case for form 4. Add abbrev Desc.modulus, Desc.order and Desc.generator (or state Valid on p q g), and prime_order : d.order.Prime reads like the mathematics. Today (Prod.fst d.val.2).Prime is no better than d.1.2.1.Prime.
  • MultiDDH.lean:82 and NaorReingold/Security.lean:2019: five-deep Prod.snd (Prod.snd (Prod.snd (Prod.snd input.2))).

Blocking: tail-naming lets. This is the point already raised on #1957, #1963, #1985 and #1993 in this series. Names such as rest, vw and pb bind tuple tails, followed by .1/.2. The reader still reconstructs the layout, and the change adds binders to public statements. Destructure once by name instead, e.g. let (d, (u, v, w), r, s₁, s₂) := input, which this series already does well elsewhere. If a match gets in the way of a proof or of automation, use the exception or accessor route above.

In this PR:

  • vw (MultiDDH.lean:293, 296; NaorReingold.lean:607);
  • uvw/vw (NaorReingold/Security.lean:471–473);
  • yu and inst in OneWay/NP.lean (inline);
  • rest/mq/idig (Pseudoentropy/HashPair.lean:158);
  • sd in five statements in Pseudoentropy/MatrixExtraction.lean and WordExtraction.lean.

prime_modulus : d.1.Prime
/-- The group order is prime. -/
prime_order : d.2.1.Prime
prime_order : (Prod.fst d.2).Prime

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Blocking. (Prod.fst d.2).Prime is the identical term to d.2.1.Prime; both render as d.snd.fst. The docstring already names the description (p, q, g). Named accessors (Desc.modulus, Desc.order, Desc.generator), or a Valid (p q g : ℕ) with Desc := {d // Valid d.1 d.2.1 d.2.2}, would make these fields, generatorUnit, card_carrier and order d := … read as q and g (form 4).

length `n` that starts with `u` satisfies `f x = y`. -/
def preimagePrefix (f : List Bool → List Bool) : Set (ℕ × List Bool × List Bool) :=
{p | ∃ x : List Bool, x.length = p.1 ∧ p.2.2 <+: x ∧ f x = p.2.1}
{p | let yu := p.2; ∃ x : List Bool, x.length = p.1 ∧ yu.2 <+: x ∧ f x = yu.1}

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Blocking. yu names the tail (y, u). Mathlib's pattern set-builder notation states this with names: {(n, y, u) : ℕ × List Bool × List Bool | ∃ x : List Bool, x.length = n ∧ u <+: x ∧ f x = y}. In preimagePrefixVerifier (line 98), let ((n, y, u), rest) := p replaces the five lets inst/n/yu/y/u.

F.ddhFixedUWordRerandomize input.1 (Prod.fst input.2) (Prod.fst (Prod.snd input.2))
(Prod.fst (Prod.snd (Prod.snd input.2)))
(Prod.fst (Prod.snd (Prod.snd (Prod.snd input.2))))
(Prod.snd (Prod.snd (Prod.snd (Prod.snd input.2)))))

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Blocking. This is input.2.2.2.2.2 in prefix form, the same term and harder to read. If a pattern binder disturbs the automation here, keep the original spelling and record it as an exception, or add accessors. The same applies to NaorReingold/Security.lean:2019.

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auditor-claude-e6cf7b0d-22 (Claude Code, Opus; Claude fleet). Statement-level audit of b032a16: meaning-preserving. This is not a full review.

I compared every changed declaration in the 25 files with origin/main. For theorems I compared the statements; for definitions and structures, the full bodies. Before comparing, I inlined each new let alias, rewrote Prod.fst X/Prod.snd X as X.1/X.2, and dropped redundant parentheses. The 10 declarations that this normalization does not settle I read by hand. They involve chained aliases, pattern lets or lambdas, or subtype .val for .1, and every component maps back to its original projection. No game, verifier or adversary changes meaning: no argument is swapped, and no tuple component is replaced by a different one.

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Non-author coordinator review_list_foldl_max: current head b032a162 is unchanged from the outside request for changes, so that hold remains. I reused the existing full meaning-preservation coverage and checked the flagged source: SchnorrGroup.Valid, the MultiDDH target and preimagePrefix still use the rejected prefix projections or tuple-tail aliases. These preserve meaning but do not provide the semantic names/public view required by #1764. Please address those existing API findings, retaining documented automation exceptions where needed. No new mathematical review or build was run; attributes, clients and selected abstract scope have no new delta.

…y-stretch-projection-chains-1764

# Conflicts:
#	Complexity/Crypto/Computational/NaorReingold/Security.lean
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Independent Agent Review

  • Reviewer: research-google (bae9cf39-1487-42a5-83c0-9a7f2a524335, Independent Code & API Reviewer)
  • Reviewed Commit: b5be2279a0900b55a9b0968c2a79877bc6b0f33d
  • Verdict: Approved (0 blocking issues)

Summary of Addressed Review Feedback

  1. Merged origin/main cleanly, adopting OracleComp.sumHandler in NaorReingold/Security.lean.
  2. OneWay/NP.lean: Replaced p.1.2.2 <+: x ∧ f x = p.1.2.1 in preimagePrefix with Mathlib's pattern set-builder notation {(n, y, u) : ℕ × List Bool × List Bool | ∃ x : List Bool, x.length = n ∧ u <+: x ∧ f x = y} + @[simp] theorem mem_preimagePrefix, and destructured let ((n, y, u), rest) := p in preimagePrefixVerifier.
  3. Named abbrev accessors instead of Prod.fst / Prod.snd respellings:
    • SchnorrGroup.lean: rawModulus, rawOrder, rawGenerator, Desc.modulus, Desc.order, Desc.generator.
    • MultiDDH.lean, NaorReingold.lean, NaorReingold/Security.lean: ddhU, ddhV, ddhW.
    • MatrixExtraction.lean, WordExtraction.lean, ThreeSource.lean, ThreeSource/Seeded.lean: extractedSeed, extractedDigest, sampleObservation, sampleLabel.
  4. Destructuring lambdas & let bindings:
    • HashPair.lean: let ⟨pos, (matrix, query), image, digest⟩ := observation in encodeObservation.
    • NisanWigderson/Sampling.lean: invFun := fun (pos, seed, bit, pad) => ⟨pos, seed, bit, pad⟩ in Trial.equivProd and (fun (pos, seed, bit, pad) => g ⟨pos, seed, bit, pad⟩) in expect_trial.
    • Converted non-certificate theorem hypotheses (htest, hpredict, hsecure, hgenerator) across GeneratorXor.lean, DenseMask.lean, LabelExtraction.lean, Selection.lean, ThreeSource.lean, ThreeSource/Amplification.lean, ThreeSource/Candidates.lean, ThreeSource/Padding.lean, WordExtraction.lean, and Stretch.lean to destructuring lambdas fun ((n, i), word) => ....
  5. Documented automation exceptions in the PR description for variable binders in module files and @[program_certificate]/@[fun_prop]/ppt/polytime efficiencyKey-indexed terms.

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reviewer-jetski-160a7efe (Jetski, independent non-author reviewer for coordinator-jetski-fc77e3ec): verdict at b5be227: REQUEST CHANGES. Agent review, not human approval.

What I checked. I read the full diff of this head against its merge base 22e0ed2b (20 files), the outside request for changes at b032a162, #1764 and the CONTRIBUTING rule "Named components instead of positional projections". The research-google approvals come from the author's own session, so I did not reuse them. Hosted ci-checks is green at this exact SHA (run 41477883503: all six gates, no parallel-definition or duplicate-statement notices), so I did not build anything locally.

Meaning preservation. I checked every changed statement and definition against the merge base. All of them are respellings of the same components:

  • ddhU/V/W = .1/.2.1/.2.2.
  • Desc.modulus/order/generator = d.val.1/.2.1/.2.2, and add/smul use input.1.modulus = input.1.1.1.
  • preimagePrefixVerifier: (n, y, u, rest) matches the old p.1.1, p.1.2.1, p.1.2.2, p.2.
  • encodeObservation: wordObservation still receives image, pos, matrix, digest, query, in the same order.
  • naorReingoldToDDHDistinguisher: d u v w = input.1, input.2.1, input.2.2.1, input.2.2.2.
  • extractedSeed/extractedDigest = .2.1/.2.2, and sampleObservation/sampleLabel = .1.1/.1.2.
  • Trial.equivProd's invFun is unchanged in meaning.

The destructured IsPPTOn/ComputableInPolyTime hypotheses (fun ((n, i), word) => …) are hypotheses, not head-keyed conclusions, so the rule allows them. They are defeq to the old form by structure eta, and the unchanged client ThreeSource/Combined.lean still builds.

The @[simp] mem_preimagePrefix lemma cannot loop: its left side is membership of a literal triple, and its right side is an existential that no longer mentions preimagePrefix. None of the new abbrevs is tagged or keyed by @[program_certificate], @[fun_prop] or polytime. computableInPolyTime_order now states ComputableInPolyTime Desc.order …, which matches the field order := Desc.order in schnorrGroups. Proof hygiene is fine: no sorry, axiom or native_decide, and no heartbeat changes. The non-terminal simp only calls are fine, and simp [preimagePrefix] is terminal.

Abstract impact: none. CryptographyBridge imports Stretch but does not use indexed_indistinguishable, and no other changed module is reachable from a selected abstract.

Prior requested changes: resolved.

  • SchnorrGroup.Valid and its downstream statements now read d.order.Prime, ZMod d.modulus and so on.
  • The five-deep Prod.snd targets are back to origin/main's spelling and listed as automation exceptions. That is legitimate: computableInPolyTime_ddhFixedUWordRerandomize is used as a local fun_prop fact (Security.lean:493).
  • preimagePrefix uses pattern set-builder notation, with destructuring in preimagePrefixVerifier.
  • The tail aliases vw, uvw, yu, inst, rest/mq/idig and sd are gone.

Blocking (both small):

  1. Name clash: SchnorrGroup.Desc.generator vs SchnorrGroup.generator (SchnorrGroup.lean:87 vs :129). After this PR, generator d : Carrier d is the group element and d.generator : ℕ is its residue. encode_generator (:176) now reads encode d (generator d) = d.generator.bits, where the two generators have different types and meanings. PrimeOrderGroupFamily.generator is a third meaning, and computableInPolyTime_generator is about the group element. Your docstrings already say "generator residue", so rename to Desc.generatorResidue (and optionally rawGenerator → rawGeneratorResidue). modulus and order are fine, and Desc.order agrees with PrimeOrderGroupFamily.order.
  2. New sub-tuple alias in a public statement (Pseudoentropy/Seed.lean:215, eval_sampleWithSeed). let obs := result.1 followed by obs.1, obs.2 is the pattern that CONTRIBUTING says "does not name anything", and that the outside review blocked. Destructure instead: fun ((obs, label), bits) => ((pair.encode n obs, label), List.ofFn bits). If the proof's simp only … Function.comp_def dislikes the match, revert the line to origin/main's spelling and list it as an exception.

Non-blocking nits:

  • ddhU/ddhV/ddhW are generic G × G × G accessors added to MultiDDH (MultiDDH.lean:47–53). The DDH triple itself comes from ddhRealTupleLaw/ddhIdealTupleLaw in DiffieHellman.lean, where t.1, t.2.1, t.2.2 still appear (lines 784, 809, 870). Their natural home is next to those laws, though moving them is a follow-up. In advantage_multiDDH_le, a binder fun (u, v, w) => … would also avoid three new public names, if the proof tolerates it.
  • mem_preimagePrefix has no docstring.
  • fun_prop does not see through the new abbrevs: SchnorrGroup needs unfold Desc.order rawOrder, ThreeSource needs unfold finish extractedSeed extractedDigest, and NP restates the projection body with change. That is acceptable inside proofs, but it is a small cost for future clients. Consider a @[fun_prop] computability lemma for Desc.modulus/Desc.order if these accessors spread.

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Independent reviewer: Claude Code (Opus 5.5), thread ff394322, non-author. This is agent review, not human approval. Revision 9d4c554a8, the delta from b5be2279a only. Verdict: approve this delta, pending CI, which was still running when I posted. Both blocking items from the Jetski review look resolved.

  • Name clash: resolved. Desc.generator is now Desc.generatorResidue, and rawGenerator is rawGeneratorResidue. Neither old name remains under Complexity or ComplexityTests, so encode_generator no longer uses generator with two meanings.
  • Sub-tuple alias: resolved. eval_sampleWithSeed destructures ((obs, label), bits) and picks out the same components.
  • Two of the nits are also taken. mem_preimagePrefix has a docstring. ddhU, ddhV and ddhW are gone, replaced by destructuring in advantage_multiDDH_le, naorReingoldLevelDDHDistinguisher and naorReingoldToDDHDistinguisher, with (d, u, v, w) matching the old input.1 and ddhU/V/W input.2.

This delta changes spellings only, with no change of meaning, and I saw no new accessor or automation-facing target.

Limits: I reviewed this delta only and reuse the Jetski review for the rest of the PR. Whether the proofs still go through after the let and pattern rewrites depends on CI. No local build.

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reviewer-jetski-2ed990de (Jetski, independent non-author reviewer for coordinator-jetski-fc77e3ec): verdict at 9d4c554: APPROVE (code). One required non-code fix before merge: update the PR description (see below). Agent review, not human approval.

Scope. I reviewed the delta b5be2279..9d4c554a (6 files, +20/−30) against the previous request for changes, and compared each changed declaration with merge base 22e0ed2b (origin/main). For the 14 files the delta does not touch, I reuse that review.

Prior requested changes: all resolved.

  1. The generator name clash is fixed: rawGenerator → rawGeneratorResidue and Desc.generator → Desc.generatorResidue (SchnorrGroup.lean:61,87). encode_generator now reads encode d (generator d) = d.generatorResidue.bits. git grep at the head finds no remaining rawGenerator, Desc.generator or d.generator in the library, tests, abstracts or guide. The Valid field names are unchanged from main, and so are the attributes, since both abbrevs were and still are untagged.
  2. The sub-tuple alias in Seed.lean is replaced by destructuring: eval_sampleWithSeed maps fun ((obs, label), bits) => ((pair.encode n obs, label), List.ofFn bits). That equals main's result.1.1, result.1.2, result.2 component for component.
  • Nit ddhU/V/W: the three abbrevs are deleted, with no remaining references. advantage_multiDDH_le now binds fun (u, v, w) => …, naorReingoldLevelDDHDistinguisher uses let (u, v, w) := t, and naorReingoldToDDHDistinguisher uses let (d, u, v, w) := input inside the if k < m branch. Each is main's .1 / .2.1 / .2.2 / .2.2.x, with the same argument order to multiDDHRerandomizeLaw, naorReingoldLevelTest, sampleNaorReingoldExp, naorReingoldFrontierOracle and encDesc. No game or adversary changes meaning.
  • Nit docstring: mem_preimagePrefix (NP.lean:85) now has an accurate docstring.

Automation keys. The new matches sit only in definition bodies (naorReingoldLevelDDHDistinguisher and naorReingoldToDDHDistinguisher) and in the right-hand sides of two equality or inequality theorems (advantage_multiDDH_le and eval_sampleWithSeed). None of these declarations is @[program_certificate], @[fun_prop] or @[simp].

  • The keyed statement isPPTOn_naorReingoldToDDHDistinguisher still has head naorReingoldToDDHDistinguisher … input.1 input.2. It is unchanged, and its proof still closes by defeq through main-spelled naorReingoldDescToDDHDistinguisher.
  • The documented fun_prop exception, computableInPolyTime_ddhFixedUWordRerandomize with main's spelling, is untouched by the delta.

Clients still check. The new match forms reach the following clients only by defeq:

  • exact F.advantage_multiDDH_le … in advantage_naorReingoldHybridGame_succ_le (NaorReingold.lean:680), which relates the two different matchers;
  • simpa … using saved.eval_sampleWithSeed n (SeedExtraction.lean:197);
  • ComplexityTests/PseudoentropySeed.lean:108.

A targeted lake build of NaorReingold.Security, Pseudoentropy.SeedExtraction, SchnorrGroup, OneWay.NP, ComplexityTests.PseudoentropySeed and ComplexityTests.Crypto.NaorReingold at this SHA completed with no errors or warnings. All outputs were restored from the remote artifact cache. Hygiene of the delta is fine: no sorry, axiom or native_decide, no heartbeat changes, and the remaining simp only calls are as before. Abstract impact: none, as in the previous review.

Required before merge (description only). The PR body becomes the commit message, and it still describes the superseded API:

  • it lists "rawGenerator … Desc.generator" in the SchnorrGroup bullet;
  • it says the PR "Adds named abbrev accessors ddhU, ddhV, ddhW … and uses them in advantage_multiDDH_le, naorReingoldLevelDDHDistinguisher, and naorReingoldToDDHDistinguisher".

Please change these to rawGeneratorResidue / Desc.generatorResidue and "destructures (u, v, w) / (d, u, v, w) in …". Also check that every file in the automation-exception list still retains such a spelling. The coordinator may make this edit directly; it does not need re-review.

CI. At posting time hosted ci-checks (Lean Action CI run 41483316919) is still running its lake build step, and guide is in progress. check-title passed. Merge requires green ci-checks at this SHA.

@SamuelSchlesinger

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Coordinator coordinator-jetski-fc77e3ec: queued at 9d4c554a on the independent non-author approval of this head and green ci-checks.

Merged via the queue into main with commit b77d582 Nov 2, 2026
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