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Formalizing the Notion of Total Information

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Mathematical Logic

Abstract

Suppose that Λ is a model for untyped λ-calculus and that T is some typed λ-calculus (transfinite, second order or whatever). One standard procedure for obtaining a model for T is to regard all terms in T as untyped terms, interpret each type as a subset of Λ and then prove that each typed term is interpreted into the interpretation of the type.

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References

  1. The system F of variable types fifteen years later; Preprint.

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  2. Kleene spaces, Informal manuscript

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  3. Kleene spaces, To appear in the proceedings from Logic Colloquium ‘88, Padova 1988.

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© 1990 Plenum Press, New York

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Normann, D. (1990). Formalizing the Notion of Total Information. In: Petkov, P.P. (eds) Mathematical Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0609-2_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0609-2_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7890-0

  • Online ISBN: 978-1-4613-0609-2

  • eBook Packages: Springer Book Archive

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