2 papers
math.CO2026
From one generator to loop order on the three-cube
Jonathan Washburn, Milan Zlatanović
We study the monoid of based closed walks on the -skeleton of the three-dimensional cube . The fundamental group of this graph is the free group . We prov…
math.LO2026
The -calculus: from distinction to arithmetic
Jonathan Washburn, Milan Zlatanović
Let denote the primitive act of distinction, formally realized as the one-step extension of a finite record. We prove that the -orbit is initial among -alge…