2 papers
math.CT2026
The free bifibration on a functor
Bryce Clarke, Gabriel Scherer, Noam Zeilberger
We consider the problem of constructing the free bifibration generated by a functor of categories . This problem was previously considered by Lamarche, and is closely…
math.CT2025
The categorical contours of the Chomsky-Schützenberger representation theorem
Paul-André Melliès, Noam Zeilberger
We develop fibrational perspectives on context-free grammars and on nondeterministic finite-state automata over categories and operads. A generalized CFG is a functor from a free c…