Niels Jakob Rehof Morten Heine Srensen

نویسنده

  • Ruy J. G. B. de Queiroz
چکیده

Gir71] J.-Y. Girard. Une extension dy syst eme de fonctionelles recursives de G del et son application aux fondements de l'analyse. 2. An operational semantics (big step semantics, evaluation function) should be deened for the-operator (or an extension thereof), and Plotkin's program should be carried out (standardization, machine-calculus correspondence.) Given a notion of operational equivalence we can ask whether the addition of yields an operationally conservative extension. 3. Presumably some extension of has a twin call-by-value calculus. It would be interesting to nd such twins and compare them. 4. Assuming we have a programming language corresponding to , give a CPS-semantics for that language. 5. It would appear that the-calculus can be extended with various reduction rules under preservation of the Church-Rosser property. It would be interesting to nd complete extensions of the-calculus. 20 6. It would be interesting to extend the set of reduction rules for the-calculus so that one can represent numerals and at least all primitive recur-sion functions on numerals. This does not appear to have been done in a pure rst-order setting before.

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تاریخ انتشار 1994