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A Model of Intuitionistic Affine Logic from Stable Domain Theory (1994)  (Make Corrections)  
Torben Braüner



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Abstract: Girard worked with the category of coherence spaces and continuous stable maps and observed that the functor that forgets the linearity of linear stable maps has a left adjoint. This fundamental observation gave rise to the discovery of Linear Logic. Since then, the category of coherence spaces and linear stable maps, with the comonad induced by the adjunction, has been considered a canonical model of Linear Logic. Now, the same phenomenon is present if we consider the category of pre dI... (Update)

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BibTeX entry:   (Update)

@misc{ ner-model,
  author = "Torben Braüner",
  title = "A Model of Intuitionistic Affine Logic from Stable Domain Theory",
  url = "citeseer.ist.psu.edu/194436.html" }
Citations (may not include all citations):
291   Computational lambda-calculus and monads - Moggi - 1989
125   Event structures (context) - Winskel - 1987
46   Term assignment for intuitionistic linear logic (context) - Benton, Bierman et al. - 1992
46   On Intuitionistic Linear Logic (context) - Bierman - 1994
41   Annals of Pure and Applied Logic (context) - Jacobs, weakening
21   A note on inconsistencies caused by fixpoints in a cartesian.. (context) - Huwig, Poigne - 1990
7   Basic category theory (context) - Poigne - 1992
6   The girard translation extended with recursion (context) - Brauner
4   A general adequacy result for a linear functional language (context) - Brauner
2   Categories for the Working Matematician (context) - Lane - 1971

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