3 papers
math.RA2026
Conjecture on Maximal Sublattices of Finite Semidistributive Lattices and Beyond
K. Adaricheva, A. Mata, S. Silberger +1
We study maximal sublattices of finite semidistributive lattices via their complements. We focus on the conjecture that such complements are always intervals, which is known to be…
math.LO2025
Infinite convex geometries with lower semi-modularity and join semi-distributivity
Adam Mata
The following article treats about convex geometries which are lower semi-modular and join semi-distributive lattices. Firstly, it is shown that there is a class of infinite co…
cs.SC2025
Probabilistic Shoenfield Machines
Maksymilian Bujok, Adam Mata
The article provides the theoretical framework of Probabilistic Shoenfield Machines (PSMs), an extension of the classical Shoenfield Machine that models randomness in the computati…