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Syntactic Multicategories and Categorical Combinators for Linear Logic (1993)  (Make Corrections)  (1 citation)
Eike Ritter, et al.



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Abstract: ) Eike Ritter Valeria de Paiva Computer Laboratory University of Cambridge 1 Introduction This paper contributes to the area of "categorical combinatory logic" or "categorical combinators", following the steps of Curien [Cur93] and Ritter [Rit92]. We provide a precise syntactic formulation of the notion of a multicategory (a recent reference is Lambek [Lam89]) and based on that we give categorical combinators for (multiplicative) Intuitionistic Linear Logic, following the general approach of... (Update)

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.... combinators has been a relatively long one, with an interesting interaction between the more abstract side of the work (reported in [7]) and its mechanized version. We started with a first (theoretically correct) formulation of the combinators for each of the several...

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Rewriting Properties of Combinators for Intuitionistic.. - Nesi, de Paiva, Ritter (1994)   (Correct)

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0.0:   On Explicit Substitutions and Names - Ritter, de Paiva (1997)   (Correct)

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BibTeX entry:   (Update)

E. Ritter, V. de Paiva, `Syntactic Multicategories and Categorical Combinators for Linear Logic', submitted for presentation at CTCS'93, May 1993. http://citeseer.ist.psu.edu/ritter93syntactic.html   More

@misc{ ritter93syntactic,
  author = "E. Ritter and V. de Paiva",
  title = "Syntactic Multicategories and Categorical Combinators for Linear Logic",
  text = "E. Ritter, V. de Paiva, `Syntactic Multicategories and Categorical Combinators
    for Linear Logic', submitted for presentation at CTCS'93, May 1993.",
  year = "1993",
  url = "citeseer.ist.psu.edu/ritter93syntactic.html" }
Citations (may not include all citations):
215   Theoretical Computer Science (context) - Lafont, abstract - 1988
106   The categorical abstract machine (context) - Cousineau, Curien et al. - 1987
46   Term assignment for intuitionistic linear logic (context) - Benton, Bierman et al. - 1992
23   and Functional Programming (context) - Curien, Sequential - 1993
19   Multicategories revisited (context) - Lambek - 1989
18   A categorical semantics of constructions (context) - Ehrhard - 1988
11   Categorical Abstract Machines for Higher-Order Lambda Calcul.. (context) - Ritter - 1992

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