Abstract. Nominal logic is a variant of first-order logic equipped with a “freshname quantifier” N and other features useful for reasoning about languages with bound names. I...
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Permissive-Nominal Logic (PNL) is an extension of firstorder logic where term-formers can bind names in their arguments. This allows for direct axiomatisations with binders, such...
ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...