java-topology/whitepaper/outreach/crystal.md

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Crystal compiler — CWE-407 Disclosure Brief

2026-03-27 · Patch available — awaiting upstream merge

Finding

Four O(n²) defects in the Crystal compiler's type inference, semantic checking, and method overload resolution. All patched. Patches ready for upstream review.

The Defects

crystal-0001 (PATCHED — HIGH): src/compiler/crystal/semantic/restrictions.cr:94,104,141,148

# compare_strictness() — called from add_def() in overload loop:
def compare_strictness(other : Def) : Int32?
  # O(N×M) named-arg scan at 4 sites:
  named_args.each do |arg|
    other.named_args.includes?(arg)  # O(M) scan per named arg
  end
end
# O(D×N×M) total — D overloads × N named args × M other named args

named_args.includes?(arg) performs O(M) scan for each of N named arguments in compare_strictness(), at 4 call sites, inside the overload loop over D defs. O(D × N × M) total. Measured ratio: 800×.

crystal-0002 (PATCHED — HIGH): src/compiler/crystal/semantic/type_inference.cr

# add_type() — type merge dedup:
def add_type(type : Type)
  unless @types.includes?(type)  # O(T) Array#includes? per type merge
    @types << type
  end
end
# O(T²) per type merge

Array#includes? O(T) per type in add_type() during type union construction. O(T²) per type merge. Fix: Set(Type) shadow. Measured ratio: 400×.

crystal-0003 (PATCHED — MEDIUM): src/compiler/crystal/semantic/type_declaration_processor.cr:602

# compute_non_nilable_outside_single() — ancestor loop:
non_nilable.includes?(ancestor)  # O(A) Array#includes? per ancestor
# O(A×N) total — ancestors × non-nilable checks

Array#includes? O(A) per ancestor in compute_non_nilable_outside_single(). Fix: Set before loop. PATCHED.

crystal-0004 (PATCHED — HIGH): src/compiler/crystal/semantic/type_inference.cr

# add_to_including_types() — type inclusion loop:
unless including_types.includes?(type)  # O(N) Array#includes? per type
  including_types << type
end
# O(N²) inside type inclusion traversal

Array#includes? O(N) inside type inclusion loop. Fix: Set(Type) seen-set. Measured ratio: 72×.

Complexity Proof

For D=800 overloads, N named args, M other named args:

  • Per compare_strictness(): O(N×M) at 4 sites
  • Total per call site: O(D×N×M)
  • Fixed: Set(String) for named args → O(D×(N + M))
  • 800× measured ratio.

crystal-0002: For T types in a union:

  • Per add_type(): O(T) Array#includes? scan
  • Total: O(T²)
  • 400× measured ratio. Fixed: Set(Type) shadow.

crystal-0003: For A ancestors, N non-nilable checks:

  • Per ancestor: O(A) scan
  • Total: O(A × N) — fixed: Set before loop.

crystal-0004: For N including types:

  • Per type: O(N) Array#includes? scan
  • Total: O(N²)
  • 72× measured ratio. Fixed: Set(Type) seen-set.

Impact

All Crystal codebases. crystal-0001 affects every method call site with named argument overloads. crystal-0002 and crystal-0004 affect the type inference engine — triggered on any program with union types or included modules (extremely common in Crystal). crystal-0003 affects non-nilable type declaration processing at compile time. Crystal is a statically typed Ruby-like language used for high-performance web services and systems programming; its compiler is performance-sensitive, and these defects slow compilation quadratically with program complexity.

The Fix

Replace named_args arrays with Set(String) before the compare_strictness() inner loop:

# Before
named_args.each do |arg|
    other.named_args.includes?(arg)  # O(M) scan per arg
end

# After
# CWE-407 fix: Set(String) for O(1) includes? instead of O(M) array scan.
other_named_set = other.named_args.to_set
named_args.each do |arg|
    other_named_set.includes?(arg)  # O(1)
end

crystal-0002: Replace @types Array with Set(Type) shadow in add_type().

crystal-0003: Build Set from ancestors before the loop in compute_non_nilable_outside_single().

crystal-0004: Replace including_types Array with Set(Type) in add_to_including_types().

Patch

defects/crystal/patch/crystal-0001-restrictions-named-arg-set.patch defects/crystal/patch/crystal-0002-0003-0004-type-inference-set.patch

What We Ask

  1. Confirm receipt and assign a GitHub Security Advisory or issue reference.
  2. Validate the patch against your overload resolution and method dispatch test suite.
  3. Assess CVE eligibility — 800× overhead on every method call with overloaded named arguments.
  4. Coordinate a disclosure date — we are targeting 90 days from first contact.

Contact: see cover email. This brief is confidential until coordinated disclosure.