Natural limitations of decisions procedures for arithmetic with bounded quantifiers.
Nice local global fields. IV.
Normal forms in partial modal logic
A "partial" generalization of Fine's definition [Fin] of normal forms in normal minimal modal logic is given. This means quick access to complete axiomatizations and decidability proofs for partial modal logic [Thi].
Normalisation of the theory of Cartesian closed categories and conservativity of extensions of
Normalisation of the Theory T of Cartesian Closed Categories and Conservativity of Extensions T[x] of T
Using an inductive definition of normal terms of the theory of Cartesian Closed Categories with a given graph of distinguished morphisms, we give a reduction free proof of the decidability of this theory. This inductive definition enables us to show via functional completeness that extensions of such a theory by new constants (“indeterminates”) are conservative.
Notes on a class of tiling problems