(Enter summary)
Abstract: We develop a notion of Kripke-like parameterized logical predicates for two fragments of intuitionistic linear logic (MILL and DILL) in terms of their category-theoretic models. Such logical predicates are derived from the categorical glueing construction combined with the free symmetric monoidal cocompletion. As applications, we obtain full completeness results of translations between linear type theories. (Update)
Context of citations to this paper: More
.... predicates (unary logical relations) for linear logic, which were originally introduced for categorytheoretic models of linear logic [5]. In this note we present the proof in entirely syntactic manner, for making the presentation self contained and also easier to access...
...in our previous work on models of linear type theories can be derived within this axiomatics. 1 Introduction In the previous work [2, 3] we have considered a glueing construction for symmetric monoidal (closed) categories, for studying the logical predicates for models of...
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3: Girard, J-Y. 1987. `Linear Logic'. In: Theoretical Computer Science 59, pp1-102.
2: What is a categorical model of intuitionistic linear logic
- Bierman - 1995
2: Categorical glueing and logical predicates for models of linear logic
- Hasegawa - 1999
BibTeX entry: (Update)
Hasegawa, M. (1999) Logical predicates for intuitionistic linear type theories. In Typed Lambda Calculi and Applications (TLCA'99), Lecture Notes in Computer Science 1581. Springer-Verlag. http://citeseer.ist.psu.edu/hasegawa99logical.html More
@inproceedings{ hasegawa99logical,
author = "Masahito Hasegawa",
title = "Logical Predicates for Intuitionistic Linear Type Theories",
booktitle = "Proceedings of the 4th International Conference on Typed Lambda Calculi and Applications ({TLCA}'99)",
publisher = "Springer-Verlag",
series = "LNCS",
volume = "1581",
address = "L'Aquila, Italy",
editor = "Jean-Yves Girard",
pages = "198--212",
year = "1999",
url = "citeseer.ist.psu.edu/hasegawa99logical.html" }
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