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Finiteness Spaces (2001)  (Make Corrections)  
Thomas Ehrhard



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Abstract: We investigate a new denotational model of linear logic based on the purely relational model. In this semantics, webs are equipped with a notion of "finitary" subsets, satisfying a closure condition with respect to an orthogonality relation between subsets of the web, and proofs are interpreted by finitary sets. This model seems quite different in spirit from the usual models of linear logic (coherence semantics, hypercoherence semantics, the various existing game semantics : : : ); in... (Update)

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BibTeX entry:   (Update)

@misc{ ehrhard-finiteness,
  author = "Thomas Ehrhard",
  title = "Finiteness Spaces",
  url = "citeseer.ist.psu.edu/ehrhard01finiteness.html" }
Citations (may not include all citations):
215   Theoretical Computer Science (context) - Girard, variable et al. - 1986  ACM
66   What is a categorical model of intuitionistic linear logic - Bierman - 1995
47   volume 7 of Cambridge Tracts in Theoretical Computer Science (context) - Girard, Lafont et al. - 1989
8   Probabilistic game semantics - Danos, Harmer - 2000  ACM   DBLP
5   On phase semantics and denotational semantics: the exponenti.. (context) - Bucciarelli, Ehrhard - 1999  DBLP
4   Quantitative semantics revisited (context) - Barreiro, Ehrhard - 1999  ACM   DBLP
2   On Kothe sequence spaces and linear logic (context) - Ehrhard - 2000
1   On phase semantics and denotational semantics: the second or.. (context) - Bac - 2000

Documents on the same site (http://iml.univ-mrs.fr/~ehrhard/pub.html):   More
On Köthe sequence spaces and linear logic - Ehrhard (2001)   (Correct)
Hypercoherences: A Strongly Stable Model of Linear Logic - Ehrhard (1993)   (Correct)
Sequentiality in an Extensional Framework - Bucciarelli, Ehrhard (1993)   (Correct)

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