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Solving Recursive Domain Equations in Models of Intuitionistic Set Theory (2001)  (Make Corrections)  
Alex K. Simpson



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Abstract: This paper is not finished. This version contains the main proofs, but not the proofs of all lemmas etc. There are also some minor notational problems (e.g. the usage of (Update)

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1.9:   Computational Adequacy for Recursive Types in Models of.. - Simpson (2002)   (Correct)
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BibTeX entry:   (Update)

@misc{ simpson-solving,
  author = "Alex K. Simpson",
  title = "Solving Recursive Domain Equations in Models of Intuitionistic Set Theory",
  url = "citeseer.ist.psu.edu/simpson01solving.html" }
Citations (may not include all citations):
359   Introduction to Higher Order Categorical Logic (context) - Lambek, Scott - 1986
150   The category-theoretic solution of recursive domain equation.. (context) - Smyth, Plotkin - 1982
59   Axiomatic Domain Theory in Categories of Partial Maps (context) - Fiore - 1996
54   Games and Full Abstraction for a Functional Metalanguage wit.. (context) - McCusker - 1998
46   Recursive types reduced to inductive types (context) - Freyd - 1990
45   First steps in synthetic domain theory (context) - Hyland - 1990
38   Categorical Logic and Type Theory (context) - Jacobs - 1999
36   Remarks on algebraically compact categories (context) - Freyd - 1992
28   The fixed point property in synthetic domain theory (context) - Taylor - 1991
26   Tripos theory (context) - Hyland, Johnstone et al. - 1980
25   Recursive types in Kleisli categories - Simpson - 1992
19   General synthetic domain theory --- a logical approach - Reus, Streicher - 1999
16   ective topos (context) - Hyland - 1982
16   Complete cuboidal sets in axiomatic domain theory - Fiore, Plotkin et al. - 1997
14   Algebraic Set Theory (context) - Joyal, Moerdijk - 1995
13   An extension of models of axiomatic domain theory to models .. - Fiore, Plotkin - 1997
12   Computational adequacy in an elementary topos - Simpson - 1999
9   A uniform account of domain theory in realizability models (context) - Longley, Simpson - 1997
9   A presentation of the initial lift algebra (context) - Jibladze - 1997
7   Elementary axioms for categories of classes (context) - Simpson - 1999
5   examples in synthetic domain theory (context) - van Oosten, Simpson et al. - 2000
5   ective domains and intrinsic structure (context) - Phoa - 1990
5   Cambridge University Press (context) - Taylor - 1999
5   Theoretical Computer Science (context) - Fiore, Rosolini - 1999
4   Continuity and E#ectivity in Topoi (context) - Rosolini - 1986
1   Relating theories of the #-calculus (context) - Scott - 1980

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