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CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 10 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
14 years 1 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 11 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 10 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