What is recorded here?
Scott's PRG-2 monograph organized partial computational information as ordered approximations in complete lattices, with continuous mappings and effective bases supporting mathematical program semantics. The outline describes products, sums and continuous function spaces, then a limiting construction whose elements can themselves represent functions on the same space. This supplies a mathematical account of recursive data and self-application beyond recording execution steps.
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Scientific scope
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.
Read the original work
- Dana Scott, Outline of a Mathematical Theory of Computation, Oxford Programming Research Group Technical Monograph PRG-2 (November 1970)
- Oxford Computer Science publication record: Outline of a Mathematical Theory of Computation, PRG02
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People and systems
Dana Scott
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English catalogue narrative
Scott: lattice models for computation and self-application
Scott's PRG-2 monograph organized partial computational information as ordered approximations in complete lattices, with continuous mappings and effective bases supporting mathematical program semantics.
The outline describes products, sums and continuous function spaces, then a limiting construction whose elements can themselves represent functions on the same space. This supplies a mathematical account of recursive data and self-application beyond recording execution steps.
Scientific scope
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.
People and systems
Dana Scott