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Scott: lattice models for computation and self-application

Contribution grade

Mathematical semantics of programming languages · Mathematical semantics of programming languages

Reference score210,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

PRG-2 combines information approximation, complete-lattice types, continuity, effective bases and a recursive self-function-space outline to model higher-order computation mathematically.

Scientific scope

PRG-2 combines information approximation, complete-lattice types, continuity, effective bases and a recursive self-function-space outline to model higher-order computation mathematically. The function space contains continuous mappings, not every set-theoretic function; the recursive domain equation holds up to isomorphism. An effective basis is additional structure: continuity alone does not make every element computable. PRG-2 sketches construction and store/procedure semantics rather than fully proving all later domain-theory or compiler-correctness results. Originality/first-model claims are not independently certified.

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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