A logical account of uncertain databases based on linear logic
Sungwoo Park, Seung-won Hwang · 2009
A formal semantics of uncertain databases typically takes an algebraic approach by mapping an uncertain database to a set of relational databases, or possible worlds. We present a new semantics for uncertain databases which takes a logical approach by translating uncertain databases into logical theories. A characteristic feature of our semantics is that it uses linear logic, instead of propositional logic, as its logical foundation. Linear logic lends itself well to a logical interpretation of uncertain information because unlike propositional logic, it treats logical formulae not as persistent facts but as consumable resources.