Order-sorted logic is a useful tool for knowledge representation and reasoning because it enables representation of sorted terms and formulas along with partially ordered sorts (c...
Abstract. We present an abstract view of existential variables in a dependently typed lambda-calculus based on modal type theory. This allows us to justify optimizations to pattern...
First-order modal logic is very much under current development, with many different semantics proposed. The use of rigid objects goes back to Saul Kripke. More recently several se...