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Glueing and Orthogonality for Models of Linear Logic (2001)  (Make Corrections)  (6 citations)
Martin Hyland



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Abstract: We present the general theory of the method of glueing and associated technique of orthogonality for constructing categorical models of all the structure of linear logic: in particular we treat the exponentials in detail. We indicate simple applications of the methods and show that they cover familiar examples. 1 (Update)

Context of citations to this paper:   More

.... pair of sets for Chu spaces or dialectica categories, and morphisms I A versus those A in the double glueing construction (see [9,8]) employed by Tan [12] Structurally somewhat simpler models, on the other hand, such as coherence spaces or hypercoherences, can do...

.... model, but we can make the connections (more directly) between our models and the versions of abstract games described in our [7] and [8]. Observe that a related model is described from a different point of view at the end of [1] The graph games model we analyse here embeds...

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BibTeX entry:   (Update)

M. Hyland and A. Schalk. Glueing and orthogonality for models of linear logic. Submitted for publication. http://citeseer.ist.psu.edu/hyland01glueing.html   More

@misc{ hyland-glueing,
  author = "M. Hyland and A. Schalk",
  title = "Glueing and orthogonality for models of linear logic",
  text = "M. Hyland and A. Schalk. Glueing and orthogonality for models of linear
    logic. Submitted for publication.",
  url = "citeseer.ist.psu.edu/hyland01glueing.html" }
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Documents on the same site (http://www.cs.man.ac.uk/~schalk/work.html):
Poset-valued sets or How to build models for Linear Logics - Andrea Schalk Valeria (2001)   (Correct)
Games on Graphs and Sequentially Realizable Functionals - Exte Nd Ed   (Correct)

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