Lambda Calculus and Intuitionistic Linear Logic
Studia Logica 59 (3):417-448 (1997)
| Abstract | The introduction of Linear Logic extends the Curry-Howard Isomorphism to intensional aspects of the typed functional programming. In particular, every formula of Linear Logic tells whether the term it is a type for, can be either erased/duplicated or not, during a computation. So, Linear Logic can be seen as a model of a computational environment with an explicit control about the management of resources | |||||||||
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Simona Ronchi della Rocca & Luca Roversi (1997). Lambda Calculus and Intuitionistic Linear Logic. Studia Logica 59 (3):417-448.
Marie-Renée Fleury & Myriam Quatrini (2007). A Mixed Λ-Calculus. Studia Logica 87 (2-3):269 - 294.
Paulo Oliva (2008). An Analysis of Gödel's Dialectica Interpretation Via Linear Logic. Dialectica 62 (2):269–290.
Mitsuhiro Okada & Kazushige Terui (1999). The Finite Model Property for Various Fragments of Intuitionistic Linear Logic. Journal of Symbolic Logic 64 (2):790-802.
Sara Negri (2002). Varieties of Linear Calculi. Journal of Philosophical Logic 31 (6):569-590.
Ken-etsu Fujita (1998). On Proof Terms and Embeddings of Classical Substructural Logics. Studia Logica 61 (2):199-221.
Thomas Ehrhard (ed.) (2004). Linear Logic in Computer Science. Cambridge University Press.
Peter W. O'Hearn & David J. Pym (1999). The Logic of Bunched Implications. Bulletin of Symbolic Logic 5 (2):215-244.
Simone Martini & Andrea Masini (1994). A Modal View of Linear Logic. Journal of Symbolic Logic 59 (3):888-899.
Andreja Prijatelj (1995). Reflections on “Difficult” Embeddings. Journal of Philosophical Logic 24 (1):71 - 84.
Richard Moot & Mario Piazza (2001). Linguistic Applications of First Order Intuitionistic Linear Logic. Journal of Logic, Language and Information 10 (2):211-232.
Norihiro Kamide (2004). Quantized Linear Logic, Involutive Quantales and Strong Negation. Studia Logica 77 (3):355 - 384.
Ruggero Pagnan (2013). Syllogisms in Rudimentary Linear Logic, Diagrammatically. Journal of Logic, Language and Information 22 (1):71-113.
Frank A. Bäuerle, David Albrecht, John N. Crossley & John S. Jeavons (1998). Curry-Howard Terms for Linear Logic. Studia Logica 61 (2):223-235.
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