| A. Bauer. Topology and computability. Thesis proposal, Carnegie Mellon University. Available from http://www.cs.cmu.edu/~birkedal/ltc/ (1998). |
.... There are other natural models in which the interpretation of real real is constrained to include only continuous functions (this seems reasonable since in fact all computable total functions R R are continuous) Mathematical structures which provide Henkin models for our SP are studied in e.g. [Nor98,Bau98] Some of these models contain copies of the classical reals R, while others contain only the computable (or recursive) reals. 5.2 A specification for PCF computations We now present a specification SP 0 corresponding to the familiar functional language PCF [Plo77] A constructive refinement ....
A. Bauer. Topology and computability. Thesis proposal, Carnegie Mellon University. Available from http://www.cs.cmu.edu/~birkedal/ltc/ (1998).
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