We show in this paper that all fragments of intuitionistic propostional logic based on a subset of the connectives $\wedge, \vee, \rightarrow, \neg$ satisfy interpolation. Fragments containing ...

Boolean algebra, and other forms of abstract propositional logic, are based on dealing with compound propositions made up of simple propositions joined by logical connectors like "and", "or", and ...

Propositional Logic ¶ to be concrete, we will focus on propositional logic you should already know about this from programming, and discrete math but lets quickly review it … here is an example ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...