TY  - JOUR
TI  - Differential Semigroups of Automaton Perturbations and Incremental Syntactic Reconstruction
AU  - Michael Nsikan John
AU  - Okeke Ikenna Stephen
AU  - Robert Akerejola F.
AU  - Alhassan, C. J.
PY  - 2026
JO  - International Journal of Mathematics and Statistics
VL  - 1
IS  - 1
SP  - 1-9
DO  - 10.5281/zenodo.20450607
UR  - https://doi.org/10.5281/zenodo.20450607
AB  - This paper investigates the enumeration of elements in three classes of signed partial transformation semigroups: partial signed order-preserving, partial signed order-decreasing, and partial signed order-preserving-or-order-reversing transformations. It examines the reported PSPD₄ numerical inconsistency and develops a domain-rank framework for extending the finite enumerations, while distinguishing interpolated computational conjectures from exact counting formulae.
ER  -