We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Abstract. The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. T...
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...
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
We introduce the logical story behind file input in ACL2 and discuss the types of theorems that can be proven about filereading operations. We develop a low level library for re...