We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Logic synthesis has made impressive progress in the last decade and has pervaded digital design replacing almost universally manual techniques. A remarkable exception is computer ...
We extend Fagin’s result on the equivalence between functional dependencies in relational databases and propositional Horn clauses. It is shown that this equivalence still holds...
A classical higher-order logic PFsub of partial functions is defined. The logic extends a version of Farmer's logic PF by enriching the type system of the logic with subset ty...
Dependently typed -calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types"...