Abstract. Church's Problem (1962) asks for the construction of a procedure which, given a logical specification on sequence pairs, realizes for any input sequence X an output...
The logic of proofs is known to be complete for the semantics of proofs in PA. In this paper we present a refinement of this theorem, we will show that we can assure that all the ...
We refine HO/N game semantics with an additional notion of pointer (mu-pointers) and extend it to first-order classical logic with completeness results. We use a Church style exte...
A new semantics is presented for the logic of proofs (LP), [1, 2], based on the intuition that it is a logic of explicit knowledge. This semantics is used to give new proofs of se...
By terms-allowed-in-types capacity, the Logic of Proofs LP includes formulas of the form t : Ï•(t), which have self-referential meanings. In this paper, “prehistoric phenomenaâ€...