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math.LO2022
Relating description complexity to entropy
Reijo Jaakkola, Antti Kuusisto, Miikka Vilander
We demonstrate some novel links between entropy and description complexity, a notion referring to the minimal formula length for specifying given properties. Let MLU be the logic o…
math.LO2022
First-order logic with self-reference
Reijo Jaakkola, Antti Kuusisto
We consider an extension of first-order logic with a recursion operator that corresponds to allowing formulas to refer to themselves. We investigate the obtained language under two…