This paper provides a set-theoretic model of knowledge and unawareness, in which reasoning through theorems is employed. A new property called Awareness Leads to Knowledge shows t...
In joint work with Peter O’Hearn and others, based on early ideas of Burstall, we have developed an extension of Hoare logic that permits reasoning about low-level imperative pr...
Topological logics are a family of languages for representing and reasoning about topological data. In this paper, we consider propositional topological logics able to express the...
Roman Kontchakov, Ian Pratt-Hartmann, Michael Zakh...
Abstract. The Nuprl system is a framework for reasoning about mathematics and programming. Over the years its design has been substantially improved to meet the demands of large-sc...
Stuart F. Allen, Robert L. Constable, Richard Eato...
Abstract. Dominance constraints are widely used in computational linguistics as a language for talking and reasoning about trees. In this paper, we extend dominance constraints by ...