Bi-intuitionistic logic is the extension of intuitionistic logic with exclusion, a connective dual to implication. Cut-elimination in biintuitionistic logic is complicated due to t...
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
In this paper, we describe a proof-theoretic foundation for bottom-up logic programming based on uniform proofs in the setting of the logical framework LF. We present a forward un...
This article considers the coordination language Reo, a Petri net variant called zero-safe nets, and intuitionistic temporal linear logic (ITLL). The first part examines the seman...
We present one way of combining a logical framework and first-order logic. The logical framework is used as an interface to a first-order theorem prover. Its main purpose is to k...