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math.LO2025
Notions of rank and independence in countably categorical theories
Vera Koponen
For an -categorical theory and model of we define a hierarchy of ranks, the -ranks for which only care about imaginary elements ``up to level $n…
cs.AI2025
Domain size asymptotics for Markov logic networks
Vera Koponen
A Markov logic network (MLN) determines a probability distribution on the set of structures, or ``possible worlds'', with doma…
cs.LO2025
A convergence law for continuous logic and continuous structures with finite domains
Vera Koponen
We consider continuous relational structures with finite domain and a many valued logic, , with values in the unit interval and which uses continuous…