Douglas J. Howe. A classical set-theoretic model of polymorphic extensional type theory. (Accepted for publication in Information and Computation).  Home/Search   Document Details and Download   Summary   Related Articles   Check

....Tableau are avoided and the methodology becomes richer. 1 Recent work of Howe has shown how to provide a classical semantics for certain constructive type theories that permits classical reasoning; however, the programs synthesized may contain oracles that cannot be executed (Howe, 1996; Howe, 1997). A. Ayari and D. Basin We would like to close with two areas where we see a need for further work. The first concerns the specialization of generic theorem provers for program synthesis. In this paper we have shown some of the advantages of implementing program development methodologies in a ....

Howe, D. J. (1997). A classical set-theoretic model of polymorphic extensional type theory. Submitted to Information and Computation.

....approach will be to extend IOC with classical principles for reasoning and set construction. As is, IOC is constructive, in the sense that the intended universe for the logic is a (countable) set of descriptions (of data and classes) The work will be primarily theoretical, building on our work in [11], but if successful it will be used for some of the applications discussed above. The work on particular logics just described, and the separate applications outlined below, do not absolutely require the proposed logical framework. In the unlikely event that a satisfactory framework cannot be ....

Douglas J. Howe. A classical set-theoretic model of polymorphic extensional type theory. (Accepted for publication in Information and Computation).

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