Studia Logica 76 (2):201 - 225 (2004)
|Abstract||The starting point of the present study is the interpretation of intuitionistic linear logic in Petri nets proposed by U. Engberg and G. Winskel. We show that several categories of order algebras provide equivalent interpretations of this logic, and identify the category of the so called strongly coherent quantales arising in these interpretations. The equivalence of the interpretations is intimately related to the categorical facts that the aforementioned categories are connected with each other via adjunctions, and the compositions of the connecting functors with co-domain the category of strongly coherent quantales are dense. In particular, each quantale canonically induces a Petri net, and this association gives rise to an adjunction between the category of quantales and a category whose objects are all Petri nets.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Michael Moses (2010). The Block Relation in Computable Linear Orders. Notre Dame Journal of Formal Logic 52 (3):289-305.
Menachem Kojman & Saharon Shelah (1992). Nonexistence of Universal Orders in Many Cardinals. Journal of Symbolic Logic 57 (3):875-891.
Katarzyna Slomczyńska (2005). Free Spectra of Linear Equivalential Algebras. Journal of Symbolic Logic 70 (4):1341 - 1358.
Lars Birkedal (2002). A General Notion of Realizability. Bulletin of Symbolic Logic 8 (2):266-282.
Yves Lafont (1996). The Undecidability of Second Order Linear Logic Without Exponentials. Journal of Symbolic Logic 61 (2):541-548.
Thomas Ehrhard (2004). A Completeness Theorem for Symmetric Product Phase Spaces. Journal of Symbolic Logic 69 (2):340 - 370.
Maarten De Rijke (1995). The Logic of Peirce Algebras. Journal of Logic, Language and Information 4 (3).
George Georgescu (2006). N-Valued Logics and Łukasiewicz–Moisil Algebras. Axiomathes 16 (1-2).
Norihiro Kamide (2004). Quantized Linear Logic, Involutive Quantales and Strong Negation. Studia Logica 77 (3):355 - 384.
Added to index2009-01-28
Total downloads4 ( #180,507 of 556,896 )
Recent downloads (6 months)0
How can I increase my downloads?