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    CSL
    2003
    Springer
    79views Automated Reasoning» more  CSL 2003»
    A Strongly Normalising Curry-Howard Correspondence for IZF Set Theory
    14 years 1 months ago
    A Strongly Normalising Curry-Howard Correspondence for IZF Set Theory
    Download  www.pps.jussieu.fr
    We propose a method for realising the proofs of Intuitionistic Zermelo-Fraenkel set theory (IZF) by strongly normalising λ-terms. This
    Alexandre Miquel
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    MLQ
    2006
    84views more  MLQ 2006»
    A note on Bar Induction in Constructive Set Theory
    13 years 7 months ago
    A note on Bar Induction in Constructive Set Theory
    Download  www.amsta.leeds.ac.uk
    Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
    Michael Rathjen
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    HIS
    2003
    105views Information Technology» more  HIS 2003»
    On a Set Theory With Uncertain Membership Relations
    13 years 9 months ago
    On a Set Theory With Uncertain Membership Relations
    Download  kurt.scitec.kobe-u.ac.jp
    We logically model uncertainty by expanding language without changing logical reasoning rules. We expand the language of set theory by adding new predicate symbols, uncertain membe...
    Shunsuke Yatabe, Yuzuru Kakuda, Makoto Kikuchi
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    BSL
    2007
    51views more  BSL 2007»
    Relating First-order Set Theories and Elementary Toposes
    13 years 7 months ago
    Relating First-order Set Theories and Elementary Toposes
    Download  homepages.inf.ed.ac.uk
    We show how to interpret the language of first-order set theory in an elementary topos endowed with, as extra structure, a directed structural system of inclusions (dssi). As our ...
    Steven Awodey, Carsten Butz, Alex Simpson, Thomas ...
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    BSL
    2008
    95views more  BSL 2008»
    Cohen and Set Theory
    13 years 8 months ago
    Cohen and Set Theory
    Download  math.bu.edu
    We discuss the work of Paul Cohen in set theory and its influence, especially the background, discovery, development of forcing. Paul Joseph Cohen (1934
    Akihiro Kanamori
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