Fetching the paper…
Reading the bibliography…
One goal of applied category theory is to better understand networks appearing throughout science and engineering.
J. Master, Petri nets based on Lawvere theories. Available as arXiv:1904.09091
1904
Earlier work this paper cites.
D. Cicala, Rewriting Structured Cospans: A Syntax For Open Systems
1906
Earlier work this paper cites.
1910
Earlier work this paper cites.
D. Verdon, Coherence for braided and symmetric pseudomonoids. Available as arXiv:1705.09354
1911
Earlier work this paper cites.
S. Mac Lane, Natural associativity and commutativity, Rice Univ. Stud
1963
Earlier work this paper cites.
C. Ehresmann, Catégories et Structures
1965
Earlier work this paper cites.
F. Horn and R. Jackson, General mass action kinetics, Arch. Ration. Mech. An
1972
Earlier work this paper cites.
J. L. Peterson, Petri Net Theory and the Modeling of Systems
1981
Earlier work this paper cites.
R. M. Burstall and D. E. Rydeheard, Computational Category Theory
1988
Earlier work this paper cites.
J. Meseguer and U. Montanari, Petri nets are monoids, Inform. and Comput
1990
Earlier work this paper cites.
M. A. Marsan, G. Balbo, G. Conte, S. Donatelli and G. Franceschinis, Modelling with Generalized Stochastic Petri Nets
1995
Earlier work this paper cites.
B. Day and R. Street, Monoidal bicategories and Hopf algebroids, Adv. Math
1997
Cited alongside, same era.
M. Grandis and R. Paré, Limits in double categories, Cah. Top. Géom. Différ. Catég
1999
Cited alongside, same era.
P. J. Haas, Stochastic Petri Nets: Modelling, Stability, Simulation
2002
Cited alongside, same era.
M. Grandis and R. Paré, Adjoints for double categories, Cah. Top. Géom. Différ. Catég
2004
Cited alongside, same era.
R. Rosebrugh, N. Sabadini and R. F. C. Walters, Generic commutative separable algebras and cospans of graphs, Theory Appl. Categ
2005
Cited alongside, same era.
N. Martins-Ferreira, Pseudo-categories, J. Homotopy Relat. Struct
2006
Cited alongside, same era.
J. C. Baez, B. Fong and B. Pollard, A compositional framework for Markov processes, J. Math. Phys
2016
Later among the works it cites.
B. Fong, The Algebra of Open and Interconnected Systems
2016
Later among the works it cites.
M. Stay, Compact closed bicategories, Theory Appl. Categ
2016
Later among the works it cites.
J. C. Baez and B. Pollard, A compositional framework for chemical reaction networks, Rev. Math. Phys
2017
Later among the works it cites.
K. Courser, A bicategory of decorated cospans, Theory Appl. Categ. 32
2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K. Courser, Open Systems: a Double Categorical Perspective
2008
Cited alongside, same era.
M. Shulman, Framed bicategories and monoidal fibrations, Theory Appl. Categ
2008
Cited alongside, same era.
S. Niefield, Span, cospan, and other double categories, Theory Appl. Categ
2012
Cited alongside, same era.
C. Girault and R. Valk, Petri Nets for Systems Engineering: a Guide to Modeling, Verification, and Applications
2013
Cited alongside, same era.
B. Fong, Decorated cospans, Theory Appl. Categ. 30
2015
Cited alongside, same era.
J. C. Baez, K. Courser and C. Vasilakopoulou, Structured versus decorated cospans. Manuscript in preparation
Cited in the paper.
J. C. Baez, B. Coya and F. Rebro, Props in circuit theory, Theory Appl. Categ
2018
Later among the works it cites.
J. C. Baez and B. Fong, A compositional framework for passive linear networks, Theory Appl. Categ
2018
Later among the works it cites.
B. Fong, Decorated corelations, Theory Appl. Categ
2018
Later among the works it cites.
J. C. Baez and J. Master, Open Petri nets, Math. Struct. Comput. Sci
2020
Closest in time.
B. Fong and M. Sarazola, A recipe for black box functors, Theory Appl. Categ
2020
Closest in time.