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Milner: polymorphic typing with a sound inference algorithm

Contribution grade

Programming languages and type systems · Programming languages and type systems

Reference score170,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Let-local polymorphism and constrained non-generic parameter variables are organized into a usable type discipline, a recursive inference algorithm and separate semantic/syntactic soundness theorems for Exp.

Scientific scope

Let-local polymorphism and constrained non-generic parameter variables are organized into a usable type discipline, a recursive inference algorithm and separate semantic/syntactic soundness theorems for Exp. The proof concerns Exp under a respecting environment and its defined type-error semantics. It does not prove termination, arbitrary program correctness or full imperative-ML safety. Completeness/most-general inference is conjectured here, not proved; the stateful polymorphic-list example exposes an extension failure. Hindley's principal schemes and Robinson's unification are inherited, and later Damas–Milner results remain separate.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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