This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
The logic of proofs (LP) was proposed as Gödel’s missed link between Intuitionistic and S4-proofs, but so far the tableau-based methods proposed for LPhave not explored this cl...
We present new proofs of cut elimination for intuitionistic, classical, and linear sequent calculi. In all cases the proofs proceed by three nested structural inductions, avoiding...
It is well known how to use an intuitionistic meta-logic to specify natural deduction systems. It is also possible to use linear logic as a meta-logic for the specification of a va...