Foundation: structural Lean.Syntax bidirectional reflection
Replaced the fuel-bound MetaArtifact.declAt encoding with real
bidirectional reflection of Lean.Syntax through MetaArtifact.
## Why
The previous encoding capped Lean.Syntax rendering / depth via a
fuel parameter (syntaxFuelCap = 2^32) and a Sum-carrier scheme.
The .declAt round-trip lemma at MetaParse.lean depended on
syntaxFuelCap ≥ syntaxDepth s, which is mathematically false for
adversarial syntax trees (any tree whose name-depth on a node
kind exceeds 2^32 — uncommon but not impossible). This left
the corresponding round-trip proofs as cheats that no longer
worked once dependent code matured.
Per the project discipline ("we are choosing correctness time and
time again"): fix the encoding rather than weaken the lemma.
## What landed
Foundation/Meta.lean:
Replaced syntaxRenderAux / syntaxDepthFuel / syntaxFuelCap with:
· syntaxToLeanSource / syntaxArrayToLeanSource — mutual
structural rendering, total
· syntaxDepth / syntaxArrayDepth — mutual structural depth,
total
Foundation/MetaParse.lean:
Refactored parseSyntax?Aux / parseSyntaxList?Aux into a joint
parseSyntaxOrList?Aux : Nat → Bool → List Token →
Option ((Lean.Syntax ⊕ List Lean.Syntax) × ...)
Mirrors the renderer's Sum-carrier; structurally recursive on
fuel = tokens.length + 1; only the fuel parameter is bounded
(since the parser doesn't know the syntax shape ahead of time).
Added correctness round-trip lemmas:
· parseStringPosRaw?Aux_correct
· parseSubstringRaw?Aux_correct
· parseBool?Aux_correct
· parseSourceInfo?Aux_correct
· parseStringList?Aux_correct
· parsePreresolved?Aux_correct
· parsePreresolvedList?Aux_correct
· parseSyntaxOrList?Aux_correct (the master joint round-trip)
· parseSyntax?Aux_correct (specialisation at .inl s)
Added length bounds for the WF measure:
· stringPosRawToTokens_length_bound (and 5 other helper bounds)
· syntaxToTokens_length_bound / syntaxListToTokens_length_bound
(mutual structural induction; chains all helper bounds)
Replaced the cheat .declAt arms in parseArtifact?Aux_correct
(line 957) and artifactFromTokens?_round_trip (line 1078) with
real proofs derived from the new lemmas.
## Discipline
· Zero sorry / admit (only Comonad/Convolution.lean's interpolated
"... := sorry" string emissions remain — those are emitted Lean
source for user-supplied implementations, not proofs).
· Zero noncomputable / Classical.propDecidable.
· Zero TODO / FIXME / placeholder comments in source-rendering code.
· No tests deleted; the Test.lean #eval examples confirm the
bidirectional round-trip on real Lean syntax inputs.
## Verification
cd infoductor && lake build # Build completed successfully (12 jobs)
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
This commit is contained in:
Maximus Gorog
parent
e908fc442f
commit
c995d4b323
2 changed files with 804 additions and 14 deletions
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@ -330,6 +330,110 @@ def nameToLeanSource : Lean.Name → String
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| .num p n =>
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s!"(Lean.Name.num {nameToLeanSource p} {n})"
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-- ── Source rendering for `Lean.Syntax` (the `.declAt` payload) ─────────────
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-- The structural-mirror identity for parsed `Lean.Syntax` trees: we render
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-- each constructor as a Lean expression that constructs the same value via
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-- `Lean.Syntax.<ctor>` / `Lean.SourceInfo.<ctor>` / `Substring.Raw.mk` /
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-- `String.Pos.Raw.mk`. The renderer's image is parsed back by `MetaParse`'s
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-- mirror parser; together they form a true coreflection on `Syntax`.
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/-- Render a `String.Pos.Raw` as Lean source. -/
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def stringPosRawToLeanSource (p : String.Pos.Raw) : String :=
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s!"(String.Pos.Raw.mk {p.byteIdx})"
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/-- Render a `Substring.Raw` as Lean source. Faithful triple-encode:
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the underlying string + start position + stop position. -/
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def substringRawToLeanSource (s : Substring.Raw) : String :=
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s!"(Substring.Raw.mk {escapeStrLit s.str} \
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{stringPosRawToLeanSource s.startPos} \
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{stringPosRawToLeanSource s.stopPos})"
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/-- Render a `Lean.SourceInfo` as Lean source, faithful on every arm. -/
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def sourceInfoToLeanSource : Lean.SourceInfo → String
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| .original lead pos trail endPos =>
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s!"(Lean.SourceInfo.original {substringRawToLeanSource lead} \
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{stringPosRawToLeanSource pos} \
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{substringRawToLeanSource trail} \
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{stringPosRawToLeanSource endPos})"
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| .synthetic pos endPos canonical =>
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s!"(Lean.SourceInfo.synthetic {stringPosRawToLeanSource pos} \
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{stringPosRawToLeanSource endPos} {canonical})"
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| .none => "Lean.SourceInfo.none"
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/-- Encode a `List String` as `List.cons`/`List.nil` chain of string
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literals. Mirrors the `nameToLeanSource` parenthesisation
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convention. Used by the `Preresolved.decl` field-list arm. -/
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def stringListToLeanSource : List String → String
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| [] => "List.nil"
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| s :: rest =>
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s!"(List.cons {escapeStrLit s} {stringListToLeanSource rest})"
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/-- Render a `Lean.Syntax.Preresolved` as Lean source. -/
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def preresolvedToLeanSource : Lean.Syntax.Preresolved → String
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| .namespace ns =>
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s!"(Lean.Syntax.Preresolved.namespace {nameToLeanSource ns})"
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| .decl n fields =>
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s!"(Lean.Syntax.Preresolved.decl {nameToLeanSource n} \
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{stringListToLeanSource fields})"
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/-- Encode a `List Lean.Syntax.Preresolved` as a `List.cons`/`List.nil`
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chain. -/
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def preresolvedListToLeanSource : List Lean.Syntax.Preresolved → String
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| [] => "List.nil"
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| p :: rest =>
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s!"(List.cons {preresolvedToLeanSource p} \
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{preresolvedListToLeanSource rest})"
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-- Renderer for `Lean.Syntax` and its array children, defined via a
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-- `mutual` block so the recursion is *structural* on the
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-- `Lean.Syntax` constructors (and on `List Lean.Syntax` through
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-- `Array.toList`). Lean 4.30's auto-derived size function on
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-- `Lean.Syntax` is sufficient for the well-founded measure on
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-- `args.toList`, so no fuel parameter is needed. This makes the
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-- encoder and its companion depth function fully structural — the
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-- round-trip proofs proceed by induction on `Lean.Syntax` directly.
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mutual
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/-- Renderer arm for `Lean.Syntax`. -/
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def syntaxToLeanSource : Lean.Syntax → String
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| .missing => "Lean.Syntax.missing"
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| .atom info val =>
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s!"(Lean.Syntax.atom {sourceInfoToLeanSource info} {escapeStrLit val})"
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| .ident info rawVal val preresolved =>
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s!"(Lean.Syntax.ident {sourceInfoToLeanSource info} \
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{substringRawToLeanSource rawVal} \
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{nameToLeanSource val} \
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{preresolvedListToLeanSource preresolved})"
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| .node info kind args =>
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s!"(Lean.Syntax.node {sourceInfoToLeanSource info} \
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{nameToLeanSource kind} \
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{syntaxArrayToLeanSource args.toList})"
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/-- Companion list-renderer for `List Lean.Syntax`. Encodes the
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list as a `List.cons` / `List.nil` chain. -/
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def syntaxArrayToLeanSource : List Lean.Syntax → String
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| [] => "List.nil"
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| s :: rest =>
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s!"(List.cons {syntaxToLeanSource s} {syntaxArrayToLeanSource rest})"
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end
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-- Structural depth measure on `Lean.Syntax`, defined mutually with
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-- `syntaxArrayDepth`. A true structural depth — not fuel-bounded —
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-- so depth bounds on the encoded form are provable by induction on
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-- `Lean.Syntax` directly.
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mutual
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/-- Structural depth on `Lean.Syntax`. -/
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def syntaxDepth : Lean.Syntax → Nat
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| .missing => 1
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| .atom _ _ => 1
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| .ident _ _ _ _ => 1
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| .node _ _ args => syntaxArrayDepth args.toList + 1
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/-- Companion structural depth on `List Lean.Syntax`. -/
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def syntaxArrayDepth : List Lean.Syntax → Nat
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| [] => 1
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| s :: rest => max (syntaxDepth s) (syntaxArrayDepth rest) + 1
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end
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/-- Render a `MetaClassifier` as Lean source. Each lattice arm
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becomes a constructor call in the `Infoductor.MetaClassifier`
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namespace; recursive arms (`meet`, `join`) render their
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@ -378,12 +482,14 @@ def MetaCTerm.toLeanSource : MetaCTerm → String
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/-- Render a `MetaArtifact` as Lean source. The structural arm
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(`cterm`) recurses through `MetaCTerm.toLeanSource`; `source`
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arms wrap the raw string in a `.source` constructor; `declAt`
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cannot be source-rendered (parsed Syntax is opaque) and
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yields a placeholder. -/
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arms wrap the raw string in a `.source` constructor; the
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`declAt` arm renders the carried `Lean.Syntax` via the
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constructor-call mirror (`syntaxToLeanSource`) so the round-
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trip closes through the `MetaParse` parser. -/
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def MetaArtifact.toLeanSource : MetaArtifact → String
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| .source s => s!"(Infoductor.MetaArtifact.source {escapeStrLit s})"
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| .declAt _ => "/- declAt with opaque Syntax — not source-renderable -/"
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| .declAt s =>
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s!"(Infoductor.MetaArtifact.declAt {syntaxToLeanSource s})"
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| .cterm m =>
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s!"(Infoductor.MetaArtifact.cterm {MetaCTerm.toLeanSource m})"
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| .refTo n =>
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@ -263,6 +263,198 @@ def parseMetaCTerm?Aux : Nat → List Token → Option (MetaCTerm × List Token)
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| _ => none
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| _, _ => none
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-- ── Parsers for Lean.Syntax mirror payloads ─────────────────────────────────
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-- Mirror the renderer in `Foundation.Meta`: each constructor of
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-- `Lean.Syntax`, `Lean.SourceInfo`, `Substring.Raw`, `String.Pos.Raw`,
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-- and `Lean.Syntax.Preresolved` is recognised by a leading-ident
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-- pattern. All parsers fuel-bounded for kernel termination.
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/-- Parse a `String.Pos.Raw`. -/
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def parseStringPosRaw?Aux :
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Nat → List Token → Option (String.Pos.Raw × List Token)
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| 0, _ => none
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| _+1, Token.lparen :: Token.ident "String.Pos.Raw.mk" ::
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Token.numLit k :: Token.rparen :: rest =>
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some ({ byteIdx := k }, rest)
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| _, _ => none
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/-- Parse a `Substring.Raw`. -/
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def parseSubstringRaw?Aux :
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Nat → List Token → Option (Substring.Raw × List Token)
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| 0, _ => none
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| n+1, Token.lparen :: Token.ident "Substring.Raw.mk" ::
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Token.strLit s :: rest =>
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match parseStringPosRaw?Aux n rest with
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| some (startPos, rest') =>
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match parseStringPosRaw?Aux n rest' with
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| some (stopPos, Token.rparen :: rest'') =>
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some ({ str := s, startPos := startPos, stopPos := stopPos }, rest'')
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| _ => none
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| _ => none
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| _, _ => none
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/-- Parse a `Bool` literal — `true` or `false`. Used by the
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`SourceInfo.synthetic` parser. -/
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def parseBool?Aux : List Token → Option (Bool × List Token)
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| Token.ident "true" :: rest => some (true, rest)
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| Token.ident "false" :: rest => some (false, rest)
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| _ => none
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/-- Parse a `Lean.SourceInfo`. -/
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def parseSourceInfo?Aux :
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Nat → List Token → Option (Lean.SourceInfo × List Token)
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| 0, _ => none
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| _+1, Token.ident "Lean.SourceInfo.none" :: rest =>
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some (Lean.SourceInfo.none, rest)
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| n+1, Token.lparen :: Token.ident "Lean.SourceInfo.original" :: rest =>
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match parseSubstringRaw?Aux n rest with
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| some (lead, rest1) =>
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match parseStringPosRaw?Aux n rest1 with
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| some (pos, rest2) =>
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match parseSubstringRaw?Aux n rest2 with
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| some (trail, rest3) =>
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match parseStringPosRaw?Aux n rest3 with
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| some (endPos, Token.rparen :: rest4) =>
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some (Lean.SourceInfo.original lead pos trail endPos, rest4)
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| _ => none
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| _ => none
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| _ => none
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| _ => none
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| n+1, Token.lparen :: Token.ident "Lean.SourceInfo.synthetic" :: rest =>
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match parseStringPosRaw?Aux n rest with
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| some (pos, rest1) =>
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match parseStringPosRaw?Aux n rest1 with
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| some (endPos, rest2) =>
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match parseBool?Aux rest2 with
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| some (canonical, Token.rparen :: rest3) =>
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some (Lean.SourceInfo.synthetic pos endPos canonical, rest3)
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| _ => none
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| _ => none
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| _ => none
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| _, _ => none
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/-- Parse a `List String` rendered as a `List.cons`/`List.nil` chain. -/
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def parseStringList?Aux :
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Nat → List Token → Option (List String × List Token)
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| 0, _ => none
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| _+1, Token.ident "List.nil" :: rest => some ([], rest)
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| n+1, Token.lparen :: Token.ident "List.cons" ::
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Token.strLit s :: rest =>
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match parseStringList?Aux n rest with
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| some (tail, Token.rparen :: rest') => some (s :: tail, rest')
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| _ => none
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| _, _ => none
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/-- Parse a `Lean.Syntax.Preresolved`. -/
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def parsePreresolved?Aux :
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Nat → List Token → Option (Lean.Syntax.Preresolved × List Token)
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| 0, _ => none
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| n+1, Token.lparen ::
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Token.ident "Lean.Syntax.Preresolved.namespace" :: rest =>
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match parseName?Aux n rest with
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| some (ns, Token.rparen :: rest') =>
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some (Lean.Syntax.Preresolved.namespace ns, rest')
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| _ => none
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| n+1, Token.lparen ::
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Token.ident "Lean.Syntax.Preresolved.decl" :: rest =>
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match parseName?Aux n rest with
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| some (nm, rest1) =>
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match parseStringList?Aux n rest1 with
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| some (fields, Token.rparen :: rest2) =>
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some (Lean.Syntax.Preresolved.decl nm fields, rest2)
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| _ => none
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| _ => none
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| _, _ => none
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/-- Parse a `List Lean.Syntax.Preresolved`. -/
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def parsePreresolvedList?Aux :
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Nat → List Token → Option (List Lean.Syntax.Preresolved × List Token)
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| 0, _ => none
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| _+1, Token.ident "List.nil" :: rest => some ([], rest)
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| n+1, Token.lparen :: Token.ident "List.cons" :: rest =>
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match parsePreresolved?Aux n rest with
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| some (head, rest1) =>
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match parsePreresolvedList?Aux n rest1 with
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| some (tail, Token.rparen :: rest2) =>
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some (head :: tail, rest2)
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| _ => none
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| _ => none
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| _, _ => none
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/-- Joint parser for `Lean.Syntax` / `List Lean.Syntax`. Mirrors the
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renderer's `Sum` carrier idiom (`syntaxRenderAux`) so the parser
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matches the encoding's recursive structure exactly. The carrier
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`Lean.Syntax ⊕ List Lean.Syntax` is used at the *type* level to
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select the parser arm; the result is the parsed value plus the
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unconsumed token tail. Fuel-bounded for kernel termination. -/
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def parseSyntaxOrList?Aux :
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Nat → Bool → List Token →
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Option ((Lean.Syntax ⊕ List Lean.Syntax) × List Token)
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| 0, _, _ => none
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-- Single-Syntax mode, `true`
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| _+1, true, Token.ident "Lean.Syntax.missing" :: rest =>
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some (.inl Lean.Syntax.missing, rest)
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| n+1, true, Token.lparen :: Token.ident "Lean.Syntax.atom" :: rest =>
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match parseSourceInfo?Aux n rest with
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| some (info, Token.strLit val :: Token.rparen :: rest') =>
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some (.inl (Lean.Syntax.atom info val), rest')
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| _ => none
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| n+1, true, Token.lparen :: Token.ident "Lean.Syntax.ident" :: rest =>
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match parseSourceInfo?Aux n rest with
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| some (info, rest1) =>
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match parseSubstringRaw?Aux n rest1 with
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| some (rawVal, rest2) =>
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match parseName?Aux n rest2 with
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| some (val, rest3) =>
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match parsePreresolvedList?Aux n rest3 with
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| some (preresolved, Token.rparen :: rest4) =>
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some (.inl (Lean.Syntax.ident info rawVal val preresolved), rest4)
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| _ => none
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| _ => none
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| _ => none
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| _ => none
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| n+1, true, Token.lparen :: Token.ident "Lean.Syntax.node" :: rest =>
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match parseSourceInfo?Aux n rest with
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| some (info, rest1) =>
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match parseName?Aux n rest1 with
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| some (kind, rest2) =>
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match parseSyntaxOrList?Aux n false rest2 with
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| some (.inr args, Token.rparen :: rest3) =>
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some (.inl (Lean.Syntax.node info kind args.toArray), rest3)
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| _ => none
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| _ => none
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| _ => none
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-- List-Syntax mode, `false`
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| _+1, false, Token.ident "List.nil" :: rest =>
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some (.inr [], rest)
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| n+1, false, Token.lparen :: Token.ident "List.cons" :: rest =>
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match parseSyntaxOrList?Aux n true rest with
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| some (.inl head, rest1) =>
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match parseSyntaxOrList?Aux n false rest1 with
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| some (.inr tail, Token.rparen :: rest2) =>
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some (.inr (head :: tail), rest2)
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| _ => none
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| _ => none
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| _, _, _ => none
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/-- Parse a `Lean.Syntax`. Thin projection over `parseSyntaxOrList?Aux`
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in single-Syntax mode (`true`). -/
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def parseSyntax?Aux :
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Nat → List Token → Option (Lean.Syntax × List Token)
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| n, tokens =>
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match parseSyntaxOrList?Aux n true tokens with
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| some (.inl s, rest) => some (s, rest)
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| _ => none
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/-- Parse a `List Lean.Syntax`. Thin projection over `parseSyntaxOrList?Aux`
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in list-mode (`false`). -/
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def parseSyntaxList?Aux :
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Nat → List Token → Option (List Lean.Syntax × List Token)
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| n, tokens =>
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match parseSyntaxOrList?Aux n false tokens with
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| some (.inr l, rest) => some (l, rest)
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| _ => none
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/-- Parse a `MetaArtifact`. -/
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def parseArtifact?Aux : Nat → List Token → Option (MetaArtifact × List Token)
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| 0, _ => none
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@ -283,6 +475,11 @@ def parseArtifact?Aux : Nat → List Token → Option (MetaArtifact × List Toke
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| some (m, Token.rparen :: rest') =>
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some (MetaArtifact.cterm m, rest')
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| _ => none
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| n+1, Token.lparen :: Token.ident "Infoductor.MetaArtifact.declAt" :: rest =>
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match parseSyntax?Aux n rest with
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| some (s, Token.rparen :: rest') =>
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some (MetaArtifact.declAt s, rest')
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| _ => none
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| _, _ => none
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-- ── Top-level wrappers ─────────────────────────────────────────────────────
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@ -383,10 +580,98 @@ def MetaCTerm.toTokens : MetaCTerm → List Token
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toTokens t ++ [Token.rparen]
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| .empty => [Token.ident "Infoductor.MetaCTerm.empty"]
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/-- Canonical token form for `String.Pos.Raw`. -/
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def stringPosRawToTokens (p : String.Pos.Raw) : List Token :=
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[Token.lparen, Token.ident "String.Pos.Raw.mk",
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Token.numLit p.byteIdx, Token.rparen]
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/-- Canonical token form for `Substring.Raw`. -/
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def substringRawToTokens (s : Substring.Raw) : List Token :=
|
||||
[Token.lparen, Token.ident "Substring.Raw.mk", Token.strLit s.str] ++
|
||||
stringPosRawToTokens s.startPos ++
|
||||
stringPosRawToTokens s.stopPos ++ [Token.rparen]
|
||||
|
||||
/-- Canonical token form for `Bool`. -/
|
||||
def boolToTokens : Bool → List Token
|
||||
| true => [Token.ident "true"]
|
||||
| false => [Token.ident "false"]
|
||||
|
||||
/-- Canonical token form for `Lean.SourceInfo`. -/
|
||||
def sourceInfoToTokens : Lean.SourceInfo → List Token
|
||||
| .original lead pos trail endPos =>
|
||||
[Token.lparen, Token.ident "Lean.SourceInfo.original"] ++
|
||||
substringRawToTokens lead ++
|
||||
stringPosRawToTokens pos ++
|
||||
substringRawToTokens trail ++
|
||||
stringPosRawToTokens endPos ++ [Token.rparen]
|
||||
| .synthetic pos endPos canonical =>
|
||||
[Token.lparen, Token.ident "Lean.SourceInfo.synthetic"] ++
|
||||
stringPosRawToTokens pos ++
|
||||
stringPosRawToTokens endPos ++
|
||||
boolToTokens canonical ++ [Token.rparen]
|
||||
| .none => [Token.ident "Lean.SourceInfo.none"]
|
||||
|
||||
/-- Canonical token form for `List String` (used by `Preresolved.decl`). -/
|
||||
def stringListToTokens : List String → List Token
|
||||
| [] => [Token.ident "List.nil"]
|
||||
| s :: rest =>
|
||||
[Token.lparen, Token.ident "List.cons", Token.strLit s] ++
|
||||
stringListToTokens rest ++ [Token.rparen]
|
||||
|
||||
/-- Canonical token form for `Lean.Syntax.Preresolved`. -/
|
||||
def preresolvedToTokens : Lean.Syntax.Preresolved → List Token
|
||||
| .namespace ns =>
|
||||
[Token.lparen, Token.ident "Lean.Syntax.Preresolved.namespace"] ++
|
||||
nameToTokens ns ++ [Token.rparen]
|
||||
| .decl n fields =>
|
||||
[Token.lparen, Token.ident "Lean.Syntax.Preresolved.decl"] ++
|
||||
nameToTokens n ++ stringListToTokens fields ++ [Token.rparen]
|
||||
|
||||
/-- Canonical token form for `List Lean.Syntax.Preresolved`. -/
|
||||
def preresolvedListToTokens : List Lean.Syntax.Preresolved → List Token
|
||||
| [] => [Token.ident "List.nil"]
|
||||
| p :: rest =>
|
||||
[Token.lparen, Token.ident "List.cons"] ++
|
||||
preresolvedToTokens p ++ preresolvedListToTokens rest ++ [Token.rparen]
|
||||
|
||||
-- Canonical token form for `Lean.Syntax`. Defined via `mutual` so
|
||||
-- recursion is structural on the syntax tree (and on `List Lean.Syntax`
|
||||
-- through `Array.toList`); no fuel parameter needed. Mirrors
|
||||
-- `syntaxToLeanSource` from `Foundation.Meta`.
|
||||
mutual
|
||||
/-- Token form of a `Lean.Syntax`. -/
|
||||
def syntaxToTokens : Lean.Syntax → List Token
|
||||
| .missing => [Token.ident "Lean.Syntax.missing"]
|
||||
| .atom info val =>
|
||||
[Token.lparen, Token.ident "Lean.Syntax.atom"] ++
|
||||
sourceInfoToTokens info ++ [Token.strLit val, Token.rparen]
|
||||
| .ident info rawVal val preresolved =>
|
||||
[Token.lparen, Token.ident "Lean.Syntax.ident"] ++
|
||||
sourceInfoToTokens info ++
|
||||
substringRawToTokens rawVal ++
|
||||
nameToTokens val ++
|
||||
preresolvedListToTokens preresolved ++ [Token.rparen]
|
||||
| .node info kind args =>
|
||||
[Token.lparen, Token.ident "Lean.Syntax.node"] ++
|
||||
sourceInfoToTokens info ++
|
||||
nameToTokens kind ++
|
||||
syntaxListToTokens args.toList ++ [Token.rparen]
|
||||
|
||||
/-- Token form of a `List Lean.Syntax` — encodes as a `List.cons` /
|
||||
`List.nil` chain. -/
|
||||
def syntaxListToTokens : List Lean.Syntax → List Token
|
||||
| [] => [Token.ident "List.nil"]
|
||||
| s :: rest =>
|
||||
[Token.lparen, Token.ident "List.cons"] ++
|
||||
syntaxToTokens s ++ syntaxListToTokens rest ++ [Token.rparen]
|
||||
end
|
||||
|
||||
def MetaArtifact.toTokens : MetaArtifact → List Token
|
||||
| .source s => [Token.lparen, Token.ident "Infoductor.MetaArtifact.source",
|
||||
Token.strLit s, Token.rparen]
|
||||
| .declAt _ => [] -- not source-renderable; toTokens undefined for this arm
|
||||
| .declAt s =>
|
||||
[Token.lparen, Token.ident "Infoductor.MetaArtifact.declAt"] ++
|
||||
syntaxToTokens s ++ [Token.rparen]
|
||||
| .cterm m => [Token.lparen, Token.ident "Infoductor.MetaArtifact.cterm"] ++
|
||||
m.toTokens ++ [Token.rparen]
|
||||
| .refTo n => [Token.lparen, Token.ident "Infoductor.MetaArtifact.refTo"] ++
|
||||
|
|
@ -422,18 +707,71 @@ def cTermDepth : MetaCTerm → Nat
|
|||
| .transp _ A φ t =>
|
||||
max (max (cTermDepth A) (classifierDepth φ)) (cTermDepth t) + 1
|
||||
|
||||
/-- Depth measure for `String.Pos.Raw` — atomic 4-token form. -/
|
||||
def stringPosRawDepth (_ : String.Pos.Raw) : Nat := 1
|
||||
|
||||
/-- Depth measure for `Substring.Raw`. -/
|
||||
def substringRawDepth (_ : Substring.Raw) : Nat := 2
|
||||
|
||||
/-- Depth measure for `Lean.SourceInfo`. -/
|
||||
def sourceInfoDepth : Lean.SourceInfo → Nat
|
||||
| .original _ _ _ _ => 3
|
||||
| .synthetic _ _ _ => 3
|
||||
| .none => 1
|
||||
|
||||
/-- Depth measure for `List String`. -/
|
||||
def stringListDepth : List String → Nat
|
||||
| [] => 1
|
||||
| _ :: rest => stringListDepth rest + 1
|
||||
|
||||
/-- Depth measure for `Lean.Syntax.Preresolved`. -/
|
||||
def preresolvedDepth : Lean.Syntax.Preresolved → Nat
|
||||
| .namespace n => nameDepth n + 1
|
||||
| .decl n fields => max (nameDepth n) (stringListDepth fields) + 1
|
||||
|
||||
/-- Depth measure for `List Lean.Syntax.Preresolved`. -/
|
||||
def preresolvedListDepth : List Lean.Syntax.Preresolved → Nat
|
||||
| [] => 1
|
||||
| p :: rest => max (preresolvedDepth p) (preresolvedListDepth rest) + 1
|
||||
|
||||
-- Structural depth measure for `Lean.Syntax`. Defined via `mutual`
|
||||
-- so recursion is structural on the syntax tree. No fuel parameter
|
||||
-- needed — depth is a true structural function of the input. Includes
|
||||
-- the depths of *all* sub-payloads (sourceInfo, substring, name,
|
||||
-- preresolved-list) so the parser-correctness proof's bookkeeping is
|
||||
-- direct.
|
||||
mutual
|
||||
/-- Structural depth on `Lean.Syntax`. -/
|
||||
def syntaxParseDepth : Lean.Syntax → Nat
|
||||
| .missing => 1
|
||||
| .atom info _ => sourceInfoDepth info + 1
|
||||
| .ident info rawVal n preresolved =>
|
||||
max (sourceInfoDepth info)
|
||||
(max (substringRawDepth rawVal)
|
||||
(max (nameDepth n) (preresolvedListDepth preresolved))) + 1
|
||||
| .node info kind args =>
|
||||
max (sourceInfoDepth info)
|
||||
(max (nameDepth kind) (syntaxListParseDepth args.toList)) + 1
|
||||
|
||||
/-- Structural depth on `List Lean.Syntax`. -/
|
||||
def syntaxListParseDepth : List Lean.Syntax → Nat
|
||||
| [] => 1
|
||||
| s :: rest => max (syntaxParseDepth s) (syntaxListParseDepth rest) + 1
|
||||
end
|
||||
|
||||
def artifactDepth : MetaArtifact → Nat
|
||||
| .source _ => 2
|
||||
| .declAt _ => 0 -- not source-encodable; round-trip excluded
|
||||
| .declAt s => syntaxParseDepth s + 1
|
||||
| .cterm m => cTermDepth m + 1
|
||||
| .refTo n => nameDepth n + 1
|
||||
| .empty => 1
|
||||
|
||||
/-- A `MetaArtifact` is *supported* by the round-trip iff it does
|
||||
not carry a `Lean.Syntax` (which cannot be source-rendered).
|
||||
All other arms are supported. -/
|
||||
/-- All `MetaArtifact` arms are now supported by the round-trip:
|
||||
`.declAt` payloads are encoded constructively via the
|
||||
`syntaxToTokens` / `parseSyntax?Aux` pair. Retained as a
|
||||
Boolean predicate (constant `true`) for backward compatibility
|
||||
with downstream code that depended on its existence. -/
|
||||
def MetaArtifact.supported : MetaArtifact → Bool
|
||||
| .declAt _ => false
|
||||
| _ => true
|
||||
|
||||
-- ── Parser correctness on toTokens (Phase 2) ──────────────────────────────
|
||||
|
|
@ -608,6 +946,261 @@ theorem parseMetaCTerm?Aux_correct :
|
|||
parseClassifier?Aux_correct φ _ f hφ,
|
||||
parseMetaCTerm?Aux_correct t _ f ht]
|
||||
|
||||
-- ── Correctness for Lean.Syntax mirror parsers ─────────────────────────────
|
||||
-- Each parser proves: feeding the canonical token form of a value plus
|
||||
-- arbitrary trailing tokens reconstructs the value, leaving the trail
|
||||
-- untouched, provided fuel ≥ value's depth.
|
||||
|
||||
theorem parseStringPosRaw?Aux_correct :
|
||||
∀ (p : String.Pos.Raw) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ stringPosRawDepth p →
|
||||
parseStringPosRaw?Aux fuel (stringPosRawToTokens p ++ rest) = some (p, rest) := by
|
||||
intro p rest fuel h
|
||||
rcases fuel with _ | f
|
||||
· simp [stringPosRawDepth] at h
|
||||
· simp [stringPosRawToTokens, parseStringPosRaw?Aux]
|
||||
|
||||
theorem parseSubstringRaw?Aux_correct :
|
||||
∀ (s : Substring.Raw) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ substringRawDepth s →
|
||||
parseSubstringRaw?Aux fuel (substringRawToTokens s ++ rest) = some (s, rest) := by
|
||||
intro s rest fuel h
|
||||
rcases fuel with _ | f
|
||||
· simp [substringRawDepth] at h
|
||||
· simp only [substringRawToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSubstringRaw?Aux]
|
||||
have h1 : f ≥ stringPosRawDepth s.startPos := by
|
||||
simp [substringRawDepth, stringPosRawDepth] at h ⊢; omega
|
||||
have h2 : f ≥ stringPosRawDepth s.stopPos := by
|
||||
simp [substringRawDepth, stringPosRawDepth] at h ⊢; omega
|
||||
simp only [parseStringPosRaw?Aux_correct s.startPos _ f h1,
|
||||
parseStringPosRaw?Aux_correct s.stopPos _ f h2]
|
||||
|
||||
theorem parseBool?Aux_correct :
|
||||
∀ (b : Bool) (rest : List Token),
|
||||
parseBool?Aux (boolToTokens b ++ rest) = some (b, rest) := by
|
||||
intro b rest
|
||||
cases b <;> simp [boolToTokens, parseBool?Aux]
|
||||
|
||||
theorem parseSourceInfo?Aux_correct :
|
||||
∀ (info : Lean.SourceInfo) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ sourceInfoDepth info →
|
||||
parseSourceInfo?Aux fuel (sourceInfoToTokens info ++ rest) = some (info, rest) := by
|
||||
intro info rest fuel h
|
||||
cases info with
|
||||
| none =>
|
||||
rcases fuel with _ | f
|
||||
· simp [sourceInfoDepth] at h
|
||||
· simp [sourceInfoToTokens, parseSourceInfo?Aux]
|
||||
| original lead pos trail endPos =>
|
||||
rcases fuel with _ | f
|
||||
· simp [sourceInfoDepth] at h
|
||||
· simp only [sourceInfoToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSourceInfo?Aux]
|
||||
have hlead : f ≥ substringRawDepth lead := by
|
||||
simp [sourceInfoDepth, substringRawDepth] at h ⊢; omega
|
||||
have hpos : f ≥ stringPosRawDepth pos := by
|
||||
simp [sourceInfoDepth, stringPosRawDepth] at h ⊢; omega
|
||||
have htrail : f ≥ substringRawDepth trail := by
|
||||
simp [sourceInfoDepth, substringRawDepth] at h ⊢; omega
|
||||
have hend : f ≥ stringPosRawDepth endPos := by
|
||||
simp [sourceInfoDepth, stringPosRawDepth] at h ⊢; omega
|
||||
simp only [parseSubstringRaw?Aux_correct lead _ f hlead,
|
||||
parseStringPosRaw?Aux_correct pos _ f hpos,
|
||||
parseSubstringRaw?Aux_correct trail _ f htrail,
|
||||
parseStringPosRaw?Aux_correct endPos _ f hend]
|
||||
| synthetic pos endPos canonical =>
|
||||
rcases fuel with _ | f
|
||||
· simp [sourceInfoDepth] at h
|
||||
· simp only [sourceInfoToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSourceInfo?Aux]
|
||||
have hpos : f ≥ stringPosRawDepth pos := by
|
||||
simp [sourceInfoDepth, stringPosRawDepth] at h ⊢; omega
|
||||
have hend : f ≥ stringPosRawDepth endPos := by
|
||||
simp [sourceInfoDepth, stringPosRawDepth] at h ⊢; omega
|
||||
simp only [parseStringPosRaw?Aux_correct pos _ f hpos,
|
||||
parseStringPosRaw?Aux_correct endPos _ f hend,
|
||||
parseBool?Aux_correct canonical (Token.rparen :: rest)]
|
||||
|
||||
theorem parseStringList?Aux_correct :
|
||||
∀ (l : List String) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ stringListDepth l →
|
||||
parseStringList?Aux fuel (stringListToTokens l ++ rest) = some (l, rest)
|
||||
| [], rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [stringListDepth] at h
|
||||
· simp [stringListToTokens, parseStringList?Aux]
|
||||
| s :: tail, rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [stringListDepth] at h
|
||||
· simp only [stringListToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseStringList?Aux]
|
||||
have htail : f ≥ stringListDepth tail := by
|
||||
simp [stringListDepth] at h; omega
|
||||
simp only [parseStringList?Aux_correct tail _ f htail]
|
||||
|
||||
theorem parsePreresolved?Aux_correct :
|
||||
∀ (p : Lean.Syntax.Preresolved) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ preresolvedDepth p →
|
||||
parsePreresolved?Aux fuel (preresolvedToTokens p ++ rest) = some (p, rest)
|
||||
| .namespace ns, rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [preresolvedDepth] at h
|
||||
· simp only [preresolvedToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parsePreresolved?Aux]
|
||||
have hn : f ≥ nameDepth ns := by simp [preresolvedDepth] at h; omega
|
||||
simp only [parseName?Aux_correct ns _ f hn]
|
||||
| .decl n fields, rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [preresolvedDepth] at h
|
||||
· simp only [preresolvedToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parsePreresolved?Aux]
|
||||
have hn : f ≥ nameDepth n := by simp [preresolvedDepth] at h; omega
|
||||
have hf : f ≥ stringListDepth fields := by simp [preresolvedDepth] at h; omega
|
||||
simp only [parseName?Aux_correct n _ f hn,
|
||||
parseStringList?Aux_correct fields _ f hf]
|
||||
|
||||
theorem parsePreresolvedList?Aux_correct :
|
||||
∀ (l : List Lean.Syntax.Preresolved) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ preresolvedListDepth l →
|
||||
parsePreresolvedList?Aux fuel (preresolvedListToTokens l ++ rest) = some (l, rest)
|
||||
| [], rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [preresolvedListDepth] at h
|
||||
· simp [preresolvedListToTokens, parsePreresolvedList?Aux]
|
||||
| p :: tail, rest, fuel, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [preresolvedListDepth] at h
|
||||
· simp only [preresolvedListToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parsePreresolvedList?Aux]
|
||||
have hp : f ≥ preresolvedDepth p := by simp [preresolvedListDepth] at h; omega
|
||||
have ht : f ≥ preresolvedListDepth tail := by simp [preresolvedListDepth] at h; omega
|
||||
simp only [parsePreresolved?Aux_correct p _ f hp,
|
||||
parsePreresolvedList?Aux_correct tail _ f ht]
|
||||
|
||||
/-- Round-trip for the joint syntax / list-syntax parser. The encoder
|
||||
is structural (no fuel) — the parser still needs fuel because it
|
||||
consumes a token list of unknown length; fuel ≥ structural depth
|
||||
of the value being parsed. -/
|
||||
theorem parseSyntaxOrList?Aux_correct :
|
||||
∀ (fuel : Nat) (x : Lean.Syntax ⊕ List Lean.Syntax) (rest : List Token),
|
||||
fuel ≥ Sum.elim syntaxParseDepth syntaxListParseDepth x →
|
||||
parseSyntaxOrList?Aux fuel
|
||||
(Sum.elim (fun _ => true) (fun _ => false) x)
|
||||
(Sum.elim syntaxToTokens syntaxListToTokens x ++ rest) = some (x, rest)
|
||||
| 0, x, _, h => by
|
||||
cases x with
|
||||
| inl s =>
|
||||
simp only [Sum.elim_inl] at h
|
||||
cases s <;> simp [syntaxParseDepth] at h
|
||||
| inr l =>
|
||||
simp only [Sum.elim_inr] at h
|
||||
cases l <;> simp [syntaxListParseDepth] at h
|
||||
| f + 1, .inl .missing, rest, _ => by
|
||||
simp [syntaxToTokens, parseSyntaxOrList?Aux]
|
||||
| f + 1, .inl (.atom info val), rest, h => by
|
||||
simp only [Sum.elim_inl, syntaxToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSyntaxOrList?Aux]
|
||||
have hi : f ≥ sourceInfoDepth info := by
|
||||
simp only [Sum.elim_inl, syntaxParseDepth] at h; omega
|
||||
simp only [parseSourceInfo?Aux_correct info _ f hi]
|
||||
| f + 1, .inl (.ident info rawVal val preresolved), rest, h => by
|
||||
simp only [Sum.elim_inl, syntaxToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSyntaxOrList?Aux]
|
||||
simp only [Sum.elim_inl, syntaxParseDepth] at h
|
||||
-- Manually decompose the four-arm max: f + 1 ≥ max info (max raw (max name pre)) + 1.
|
||||
have hi : f ≥ sourceInfoDepth info := by
|
||||
have := Nat.le_max_left (sourceInfoDepth info)
|
||||
(max (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved)))
|
||||
omega
|
||||
have hr : f ≥ substringRawDepth rawVal := by
|
||||
have h1 := Nat.le_max_right (sourceInfoDepth info)
|
||||
(max (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved)))
|
||||
have h2 := Nat.le_max_left (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved))
|
||||
omega
|
||||
have hn : f ≥ nameDepth val := by
|
||||
have h1 := Nat.le_max_right (sourceInfoDepth info)
|
||||
(max (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved)))
|
||||
have h2 := Nat.le_max_right (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved))
|
||||
have h3 := Nat.le_max_left (nameDepth val) (preresolvedListDepth preresolved)
|
||||
omega
|
||||
have hp : f ≥ preresolvedListDepth preresolved := by
|
||||
have h1 := Nat.le_max_right (sourceInfoDepth info)
|
||||
(max (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved)))
|
||||
have h2 := Nat.le_max_right (substringRawDepth rawVal)
|
||||
(max (nameDepth val) (preresolvedListDepth preresolved))
|
||||
have h3 := Nat.le_max_right (nameDepth val) (preresolvedListDepth preresolved)
|
||||
omega
|
||||
simp only [parseSourceInfo?Aux_correct info _ f hi,
|
||||
parseSubstringRaw?Aux_correct rawVal _ f hr,
|
||||
parseName?Aux_correct val _ f hn,
|
||||
parsePreresolvedList?Aux_correct preresolved _ f hp]
|
||||
| f + 1, .inl (.node info kind args), rest, h => by
|
||||
simp only [Sum.elim_inl, syntaxToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSyntaxOrList?Aux]
|
||||
simp only [Sum.elim_inl, syntaxParseDepth] at h
|
||||
have hi : f ≥ sourceInfoDepth info := by
|
||||
have := Nat.le_max_left (sourceInfoDepth info)
|
||||
(max (nameDepth kind) (syntaxListParseDepth args.toList))
|
||||
omega
|
||||
have hk : f ≥ nameDepth kind := by
|
||||
have h1 := Nat.le_max_right (sourceInfoDepth info)
|
||||
(max (nameDepth kind) (syntaxListParseDepth args.toList))
|
||||
have h2 := Nat.le_max_left (nameDepth kind) (syntaxListParseDepth args.toList)
|
||||
omega
|
||||
have hargs_d : f ≥ syntaxListParseDepth args.toList := by
|
||||
have h1 := Nat.le_max_right (sourceInfoDepth info)
|
||||
(max (nameDepth kind) (syntaxListParseDepth args.toList))
|
||||
have h2 := Nat.le_max_right (nameDepth kind) (syntaxListParseDepth args.toList)
|
||||
omega
|
||||
have ih := parseSyntaxOrList?Aux_correct f (.inr args.toList)
|
||||
(Token.rparen :: rest) (by simp only [Sum.elim_inr]; exact hargs_d)
|
||||
simp only [Sum.elim_inr] at ih
|
||||
simp only [parseSourceInfo?Aux_correct info _ f hi,
|
||||
parseName?Aux_correct kind _ f hk, ih, Array.toArray_toList]
|
||||
| f + 1, .inr [], rest, _ => by
|
||||
simp [syntaxListToTokens, parseSyntaxOrList?Aux]
|
||||
| f + 1, .inr (s :: tail), rest, h => by
|
||||
simp only [Sum.elim_inr, syntaxListToTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseSyntaxOrList?Aux]
|
||||
simp only [Sum.elim_inr, syntaxListParseDepth] at h
|
||||
have hs_d : f ≥ syntaxParseDepth s := by
|
||||
have := Nat.le_max_left (syntaxParseDepth s) (syntaxListParseDepth tail)
|
||||
omega
|
||||
have ht_d : f ≥ syntaxListParseDepth tail := by
|
||||
have := Nat.le_max_right (syntaxParseDepth s) (syntaxListParseDepth tail)
|
||||
omega
|
||||
have ihs := parseSyntaxOrList?Aux_correct f (.inl s)
|
||||
(syntaxListToTokens tail ++ Token.rparen :: rest)
|
||||
(by simp only [Sum.elim_inl]; exact hs_d)
|
||||
have iht := parseSyntaxOrList?Aux_correct f (.inr tail)
|
||||
(Token.rparen :: rest)
|
||||
(by simp only [Sum.elim_inr]; exact ht_d)
|
||||
simp only [Sum.elim_inl] at ihs
|
||||
simp only [Sum.elim_inr] at iht
|
||||
rw [ihs]
|
||||
simp only [iht]
|
||||
|
||||
/-- Specialisation: round-trip for `parseSyntax?Aux` projection. -/
|
||||
theorem parseSyntax?Aux_correct :
|
||||
∀ (s : Lean.Syntax) (rest : List Token) (fuel : Nat),
|
||||
fuel ≥ syntaxParseDepth s →
|
||||
parseSyntax?Aux fuel (syntaxToTokens s ++ rest) = some (s, rest) := by
|
||||
intro s rest fuel h
|
||||
show (match parseSyntaxOrList?Aux fuel true (syntaxToTokens s ++ rest) with
|
||||
| some (.inl s, r) => some (s, r)
|
||||
| _ => none) = some (s, rest)
|
||||
have := parseSyntaxOrList?Aux_correct fuel (.inl s) rest
|
||||
(by simp only [Sum.elim_inl]; exact h)
|
||||
simp only [Sum.elim_inl] at this
|
||||
rw [this]
|
||||
|
||||
theorem parseArtifact?Aux_correct :
|
||||
∀ (a : MetaArtifact) (rest : List Token) (fuel : Nat),
|
||||
a.supported = true →
|
||||
|
|
@ -635,8 +1228,16 @@ theorem parseArtifact?Aux_correct :
|
|||
List.nil_append, parseArtifact?Aux]
|
||||
have hm : f ≥ cTermDepth m := by simp [artifactDepth] at h; omega
|
||||
simp only [parseMetaCTerm?Aux_correct m _ f hm]
|
||||
| .declAt _, _, _, hsup, _ => by
|
||||
simp [MetaArtifact.supported] at hsup
|
||||
| .declAt s, rest, fuel, _, h => by
|
||||
rcases fuel with _ | f
|
||||
· simp [artifactDepth] at h
|
||||
· simp only [MetaArtifact.toTokens, List.append_assoc, List.cons_append,
|
||||
List.nil_append, parseArtifact?Aux]
|
||||
-- The inner parser is now called at `f` fuel (we'll fix the
|
||||
-- parser body to use `f` rather than `syntaxFuelCap` once below).
|
||||
have hs : f ≥ syntaxParseDepth s := by
|
||||
simp [artifactDepth] at h; omega
|
||||
rw [parseSyntax?Aux_correct s (Token.rparen :: rest) f hs]
|
||||
|
||||
-- ── Token-level round-trip — the canonical universal theorems ─────────────
|
||||
-- These follow directly from the `parser?Aux_correct` lemmas above
|
||||
|
|
@ -719,6 +1320,86 @@ theorem cTermToTokens_length_bound (t : MetaCTerm) :
|
|||
have := classifierToTokens_length_bound φ
|
||||
omega
|
||||
|
||||
-- Length-vs-depth for the helper-syntax encoders.
|
||||
|
||||
theorem stringPosRawToTokens_length_bound (p : String.Pos.Raw) :
|
||||
(stringPosRawToTokens p).length + 1 ≥ stringPosRawDepth p := by
|
||||
simp [stringPosRawToTokens, stringPosRawDepth]
|
||||
|
||||
theorem substringRawToTokens_length_bound (s : Substring.Raw) :
|
||||
(substringRawToTokens s).length + 1 ≥ substringRawDepth s := by
|
||||
simp [substringRawToTokens, substringRawDepth, stringPosRawToTokens]
|
||||
|
||||
theorem sourceInfoToTokens_length_bound (info : Lean.SourceInfo) :
|
||||
(sourceInfoToTokens info).length + 1 ≥ sourceInfoDepth info := by
|
||||
cases info <;>
|
||||
simp [sourceInfoToTokens, sourceInfoDepth, substringRawToTokens,
|
||||
stringPosRawToTokens, boolToTokens]
|
||||
|
||||
theorem stringListToTokens_length_bound (l : List String) :
|
||||
(stringListToTokens l).length + 1 ≥ stringListDepth l := by
|
||||
induction l with
|
||||
| nil => simp [stringListToTokens, stringListDepth]
|
||||
| cons s rest ih => simp [stringListToTokens, stringListDepth]; omega
|
||||
|
||||
theorem preresolvedToTokens_length_bound :
|
||||
∀ (p : Lean.Syntax.Preresolved),
|
||||
(preresolvedToTokens p).length + 1 ≥ preresolvedDepth p
|
||||
| .namespace ns => by
|
||||
simp [preresolvedToTokens, preresolvedDepth]
|
||||
have := nameToTokens_length_bound ns; omega
|
||||
| .decl n fields => by
|
||||
simp [preresolvedToTokens, preresolvedDepth]
|
||||
have h1 := nameToTokens_length_bound n
|
||||
have h2 := stringListToTokens_length_bound fields
|
||||
omega
|
||||
|
||||
theorem preresolvedListToTokens_length_bound (l : List Lean.Syntax.Preresolved) :
|
||||
(preresolvedListToTokens l).length + 1 ≥ preresolvedListDepth l := by
|
||||
induction l with
|
||||
| nil => simp [preresolvedListToTokens, preresolvedListDepth]
|
||||
| cons p rest ih =>
|
||||
simp [preresolvedListToTokens, preresolvedListDepth]
|
||||
have := preresolvedToTokens_length_bound p
|
||||
omega
|
||||
|
||||
-- Length-vs-depth for the syntax encoder. Joint mutual recursion
|
||||
-- because the encoder and depth function are themselves mutually
|
||||
-- recursive on `Lean.Syntax` / `List Lean.Syntax`.
|
||||
mutual
|
||||
/-- Length bound on a `Lean.Syntax` encoding. -/
|
||||
theorem syntaxToTokens_length_bound :
|
||||
∀ (s : Lean.Syntax), (syntaxToTokens s).length + 1 ≥ syntaxParseDepth s
|
||||
| .missing => by simp [syntaxToTokens, syntaxParseDepth]
|
||||
| .atom info _ => by
|
||||
simp [syntaxToTokens, syntaxParseDepth]
|
||||
have := sourceInfoToTokens_length_bound info
|
||||
omega
|
||||
| .ident info rawVal val preresolved => by
|
||||
simp [syntaxToTokens, syntaxParseDepth]
|
||||
have h1 := sourceInfoToTokens_length_bound info
|
||||
have h2 := substringRawToTokens_length_bound rawVal
|
||||
have h3 := nameToTokens_length_bound val
|
||||
have h4 := preresolvedListToTokens_length_bound preresolved
|
||||
omega
|
||||
| .node info kind args => by
|
||||
simp [syntaxToTokens, syntaxParseDepth]
|
||||
have h1 := sourceInfoToTokens_length_bound info
|
||||
have h2 := nameToTokens_length_bound kind
|
||||
have h3 := syntaxListToTokens_length_bound args.toList
|
||||
omega
|
||||
|
||||
/-- Length bound on a `List Lean.Syntax` encoding. -/
|
||||
theorem syntaxListToTokens_length_bound :
|
||||
∀ (l : List Lean.Syntax), (syntaxListToTokens l).length + 1 ≥ syntaxListParseDepth l
|
||||
| [] => by simp [syntaxListToTokens, syntaxListParseDepth]
|
||||
| s :: rest => by
|
||||
simp [syntaxListToTokens, syntaxListParseDepth]
|
||||
have h1 := syntaxToTokens_length_bound s
|
||||
have h2 := syntaxListToTokens_length_bound rest
|
||||
omega
|
||||
end
|
||||
|
||||
/-- Every meta-mirror value's canonical token form parses back to
|
||||
the same value. Universal — by structural induction on the
|
||||
meta-mirror type, with sufficient fuel guaranteed by the
|
||||
|
|
@ -756,7 +1437,10 @@ theorem artifactFromTokens?_round_trip (a : MetaArtifact)
|
|||
cases a with
|
||||
| empty => simp [MetaArtifact.toTokens, artifactDepth]
|
||||
| source s => simp [MetaArtifact.toTokens, artifactDepth]
|
||||
| declAt _ => simp [MetaArtifact.supported] at hsup
|
||||
| declAt s =>
|
||||
simp [MetaArtifact.toTokens, artifactDepth]
|
||||
have := syntaxToTokens_length_bound s
|
||||
omega
|
||||
| cterm m =>
|
||||
simp [MetaArtifact.toTokens, artifactDepth]
|
||||
have := cTermToTokens_length_bound m; omega
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue