This paper describes the concept of higher order quotients and an implementation in Isabelle. Higher order quotients are a generalization of quotients. They use partial equivalence...
We study the formal rst order system Tind in the standard language of Gentzen's LK. Tind extends LK by the purely logical rule of term-induction, that is a restricted inductio...
High-level query constructs help greatly improve the clarity of programs and the productivity of programmers, and are being introduced to increasingly more languages. However, the...
We introduce graph reduction technology that implements functional languages with control, such as Scheme with call/cc, where continuations can be manipulated explicitly as values,...
We describe an embedding of the ACL2 logic into higherorder logic. An implementation of this embedding allows ACL2 to be used as an oracle for higher-order logic provers. Categori...
Michael J. C. Gordon, Warren A. Hunt Jr., Matt Kau...