In this paper we explore the use of ellipsis in proofs about lists. We present a higher-order formulation of elliptic formulae, and describe its implementation in the λClam proof ...
Bundy and Richardson [7] presented a technique for reasoning about lists using ellipsis (the dots in 1+2+...+10), where a polymorphic function, denoted by 2, is used to encapsulate...
The well-known third list homomorphism theorem states that if a function h is both an instance of foldr and foldl, it is a list homomorphism. Plenty of previous works devoted to co...
The B+ tree is an ordered tree structure with a fringe list. It is the most widely used data structure for data organisation and searching in database systems specifically, and, p...
Abstract. Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent...