11 citations · 19 across the 12 of their papers we have counts for
4 papers · 1 filter
Description Complexity of Unary Structures in First-Order Logic with Links to Entropy
Reijo Jaakkola, Antti Kuusisto, Miikka Vilander
The description complexity of a model is the length of the shortest formula that defines the model. We study the description complexity of unary structures in first-order logic FO,…
A monotone connection between model class size and description length
Reijo Jaakkola, Antti Kuusisto, Miikka Vilander
This paper links sizes of model classes to the minimum lengths of their defining formulas, that is, to their description complexities. Limiting to models with a fixed domain of siz…
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…
The Succinctness of First-order Logic over Modal Logic via a Formula Size Game
Lauri Hella, Miikka Vilander
We propose a new version of formula size game for modal logic. The game characterizes the equivalence of pointed Kripke-models up to formulas of given numbers of modal operators an…