A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
Many semantic web applications require support for mappings between roles (or properties) defined in multiple independently developed ontology modules. Distributed Description Log...
Jie Bao, George Voutsadakis, Giora Slutzki, Vasant...
This chapter covers extensions of the basic description logics introduced in Chapter 2 by very expressive constructs that require advanced reasoning techniques. In particular, we ...
One can add the machinery of relation symbols and terms to a propositional modal logic without adding quantifiers. Ordinarily this is no extension beyond the propositional. But if...