Papers › The ghosts of forgotten things: A study on size after forgetting
The ghosts of forgotten things: A study on size after forgetting
Paolo Liberatore
Forgetting is removing variables from a logical formula while preserving the constraints on the other variables. In spite of being a form of reduction, it does not always decrease the size of the formula and may sometimes increase it. This article discusses the implications of such an increase and analyzes the computational properties of the phenomenon. Given a propositional Horn formula, a set of variables and a maximum allowed size, deciding whether forgetting the variables from the formula can be expressed in that size is Dᵖ-hard in Σᵖ₂. The same problem for unrestricted propositional formulae is Dᵖ₂-hard in Σᵖ₃.
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