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Relational semantics for recursive types and bounded quantification

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Automata, Languages and Programming (ICALP 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 372))

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Abstract

The language Fun [Cardelli, Wegner, 1985] is a typed polymorphic lambda calculus with record types, quantification over subtypes of a given type and inheritance. In this paper it is extended with recursive types, and the consistency of the resulting language is proved by constructing an interpretation of its types as partial equivalence relations of a special kind, terms being interpreted as equivalence classes, modulo such relations, of elements of a model of the underlying language of untyped terms.

Research supported by EEC Joint Collaboration Contract ST2-0374-C (EDB) and 40% M.P.I.

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Universita' di Torino, C.so Svizzera 185, I-10149, Torino

    Felice Cardone

Authors
  1. Felice Cardone
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Editor information

Giorgio Ausiello Mariangiola Dezani-Ciancaglini Simonetta Ronchi Della Rocca

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© 1989 Springer-Verlag Berlin Heidelberg

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Cardone, F. (1989). Relational semantics for recursive types and bounded quantification. In: Ausiello, G., Dezani-Ciancaglini, M., Della Rocca, S.R. (eds) Automata, Languages and Programming. ICALP 1989. Lecture Notes in Computer Science, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035759

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  • DOI: https://doi.org/10.1007/BFb0035759

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51371-1

  • Online ISBN: 978-3-540-46201-9

  • eBook Packages: Springer Book Archive

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