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CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 5 months ago
Graphical Presentations of Symmetric Monoidal Closed Theories
Abstract. We define a notion of symmetric monoidal closed (smc) theory, consisting of a smc signature augmented with equations, and describe the classifying categories of such theo...
Richard H. G. Garner, Tom Hirschowitz, Auré...
FCT
1995
Springer
13 years 8 months ago
Axiomatizing Petri Net Concatenable Processes
The concatenable processes of a Petri net N can be characterized ly as the arrows of a symmetric monoidal category P[N]. Yet, this is only a partial axiomatization, since P[N] is b...
Vladimiro Sassone
BIRTHDAY
2008
Springer
13 years 7 months ago
Finite Dimensional Vector Spaces Are Complete for Traced Symmetric Monoidal Categories
We show that the category FinVectk of finite dimensional vector spaces and linear maps over any field k is (collectively) complete for the traced symmetric monoidal category freely...
Masahito Hasegawa, Martin Hofmann, Gordon D. Plotk...
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 5 months ago
Binding bigraphs as symmetric monoidal closed theories
Milner's bigraphs [1] are a general framework for reasoning about distributed and concurrent programming languages. Notably, it has been designed to encompass both the -calcul...
Tom Hirschowitz, Aurélien Pardon
CONCUR
2009
Springer
13 years 11 months ago
Variable Binding, Symmetric Monoidal Closed Theories, and Bigraphs
Richard H. G. Garner, Tom Hirschowitz, Auré...