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Abstract: The -calculus is a dependent type theory with both linear and intuitionistic dependent function spaces. It can be seen to arise in two ways. Firstly, in logical frameworks, where it is the language of the RLF logical framework and can uniformly represent linear and other relevant logics. Secondly, it is a presentation of the proof-objects of BI, the logic of bunched implications. BI is a logic which directly combines linear and intuitionistic implication and, in its predicate version, has both... (Update)
Context of citations to this paper: More
.... This new logic has been studied from proof theoretic and semantic point of views [33] with main focuses on Kripke resources models [18] and on the corresponding calculus [25] With its sharing interpretation, BI is an appropriate foundation for some computer science...
...linear logic (MILL) that allows to capture interferences between resources. It can be well understood through its Kripke resource models [21] but also proof theoretically through its bunched sequent calculus [34] and the corresponding calculus [27] With its so called...
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2: Linear logic : its syntax and semantics - Girard - 1995
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BibTeX entry: (Update)
S. Ishtiaq and D. Pym. Kripke resources models of a dependently-typed bunched -calculus. In Computer Science Logic, CSL'99, LNCS, Madrid, Spain, 1999. http://citeseer.ist.psu.edu/ishtiaq99kripke.html More
@inproceedings{ ishtiaq99kripke,
author = "Samin S. Ishtiaq and David J. Pym",
title = "Kripke Resource Models of a Dependently-Typed, Bunched lambda-Calculus",
booktitle = "{CSL}",
pages = "235-249",
year = "1999",
url = "citeseer.ist.psu.edu/ishtiaq99kripke.html" }
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