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CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 8 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...
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 8 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
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 8 months ago
A General Framework for Sound and Complete Floyd-Hoare Logics
er presents an abstraction of Hoare logic to traced symmetric monoidal categories, a eral framework for the theory of systems. Our abstraction is based on a traced monoidal functor...
Rob Arthan, Ursula Martin, Erik A. Mathiesen, Paul...
CORR
2010
Springer
137views Education» more  CORR 2010»
13 years 8 months ago
Open Graphs and Monoidal Theories
String diagrams are a powerful tool for reasoning about physical processes, logic circuits, tensor networks, and many other compositional structures. The distinguishing feature of...
Lucas Dixon, Aleks Kissinger