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An Axiomatisation of Computationally Adequate Domain Theoretic Models of FPC

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Ax_FPC.pdf (260.6Kb)
Date
1994
Author
Fiore, Marcelo P
Plotkin, Gordon
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Abstract
Categorical models of the metalanguage FPC (a type theory with sums, products, exponentials and recursive types) are defined. Then, domain-theoretic models of FPC are axiomatised and a wide subclass of them —the non-trivial and absolute ones— are proved to be both computationally sound and adequate. Examples include: the category of cpos and partial continuous functions and functor categories over it.
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http://hdl.handle.net/1842/209
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