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Impredicative Overloading in Explicit Mathematics (2000)  (Make Corrections)  (5 citations)
Thomas Studer



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Abstract: In this article we introduce the system OTN of explicit mathematics based on elementary separation, product, join and weak power types. We present a set-theoretical model for OTN, and we develop in OTN a theory of impredicative overloading. Together this yields a solution to the problem of impredicativity encountered in denotational semantics for overloading and late-binding. Further, our work provides a first example of an application of power types in explicit mathematics. Keywords:... (Update)

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BibTeX entry:   (Update)

Thomas Studer. Impredicative overloading in explicit mathematics. Submitted. http://citeseer.ist.psu.edu/studer00impredicative.html   More

@misc{ studer-impredicative,
  author = "T. Studer",
  title = "Impredicative overloading in explicit mathematics",
  text = "Thomas Studer. Impredicative overloading in explicit mathematics. Submitted.",
  url = "citeseer.ist.psu.edu/studer00impredicative.html" }
Citations (may not include all citations):
112   Constructivism in Mathematics (context) - Troelstra, van Dalen - 1988
88   A calculus for overloaded functions with subtyping - Castagna, Ghelli et al. - 1995
69   A language and axioms for explicit mathematics (context) - Feferman - 1975
63   Constructive theories of functions and classes (context) - Feferman - 1979
43   Logics for termination and correctness of functional program.. (context) - Feferman - 1992
43   Object-Oriented Programming: A Unified Foundation (context) - Castagna - 1997
43   Logics for termination and correctness of functional program.. (context) - Feferman - 1991
34   Foundations of Constructive Mathematics: Metamathematical St.. (context) - Beeson - 1985
27   Polymorphic typed lambda-calculi in a type-free axiomatic fr.. (context) - Feferman - 1990
22   Constructive Foundations for Functional Languages (context) - Turner - 1991
18   early: a calculus with overloading and early binding (context) - Castagna, Ghelli et al. - 1993
11   Logics of partial terms for strict and non-strict functional.. (context) - Stark, constant - 1998
11   Induction in the elementary theory of types and names (context) - Jager - 1988
9   call-by-name and the logic of values (context) - Stark - 1997
7   A static type system for late binding overloading (context) - Ghelli - 1991
6   and Thomas Strahm (context) - Jager, Kahle - 1999
5   Applikative Theorien und explizite Mathematik (context) - Jager - 1997
5   str : a calculus with overloading and late-binding (context) - Studer, for
1   Power types in explicit mathematics (context) - Jager - 1997
1   Relating Quine's NF to Feferman's EM (context) - Cantini - 1999
1   17 Address Thomas Studer Institut fur Informatik und angewan.. (context) - Turner, of et al. - 1996
1   On power set in explicit mathematics (context) - Glass - 1996



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.iam.unibe.ch/~tstuder/):   More
Explicit mathematics: W-type, models - Studer (1997)   (Correct)
A Semantics for ...: A Calculus With Overloading and Late-Binding - Studer (1999)   (Correct)
Universes in Explicit Mathematics - Jäger, Kahle, Studer (1999)   (Correct)

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