Fetching the paper…
Reading the bibliography…
We show how finite limits and colimits can be calculated compositionally using the algebras of spans and cospans, and give as an application a proof of the Kleene Theorem on regular languages.
A. Carboni, R.F.C. Walters, Cartesian bicategories I, Journal of Pure and Applied Algebra, 49 , pp 11-32, 1987
1987
Earlier work this paper cites.
1987
Earlier work this paper cites.
P. Katis, N. Sabadini, R.F.C. Walters, Bicategories of processes, Journal of Pure and Applied Algebra, 115, pp 141–178, 1997
1997
Earlier work this paper cites.
P. Katis, N. Sabadini, R.F.C. Walters, Span(Graph): A categorical algebra of transition systems, Proc. AMAST ’97, SLNCS 1349, pp 307–321, Springer Verlag, 1997
1997
Earlier work this paper cites.
P. Katis, N. Sabadini, R.F.C. Walters, On the algebra of systems with feedback and boundary, Rendiconti del Circolo Matematico di Palermo Serie II, Suppl. 63: pp 123–156, 2000
2000
Cited alongside, same era.
P. Katis, N. Sabadini, R.F.C. Walters, A formalisation of the IWIM Model, in: Proc. COORDINATION 2000, (Eds.) A. Porto, G.-C. Roman, LNCS 1906, pp 267–283, Springer Verlag, 2000
2000
Cited alongside, same era.
P. Katis, N. Sabadini, R.F.C. Walters, Feedback, trace and fixed-point semantics, Theoret. Informatics Appl. 36, pp 181–194, 2002
2002
Cited alongside, same era.
J. Kock, Frobenius algebras and 2D topological Quantum Field Theories , Cambridge University Press, 2004
2004
Cited alongside, same era.
R. Rosebrugh, N. Sabadini, R.F.C. Walters, Calculating colimits and limits compositionally, in preparation
Cited in the paper.
R. Rosebrugh, N. Sabadini, R.F.C. Walters, Minimization and minimal realization in Span(Graph), Mathematical Structures in Computer Science, Volume 14, 685-714, 2004
2004
Later among the works it cites.
R. Rosebrugh, N. Sabadini, and R.F.C. Walters. Generic commutative separable algebras and cospans of graphs
2005
Later among the works it cites.
M. Menni, N. Sabadini, R. F. C. Walters, A universal property of the monoidal 2-category of cospans of ordinals and surjections, Theory and Applications of Categories, Vol. 18, No. 19, pp 631-653, 2007
2007
Closest in time.
R. Rosebrugh, N. Sabadini, R.F.C. Walters, Calculating colimits and limits compositionally, presented to Category Theory 2007, Carvoeiro, Portugal, 18th June 2007
2007
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…