This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

This is a preview. Log in through your library . Abstract We prove the following surprising property of Heyting's intuitionistic propositional calculus, IpC. Consider the collection of formulas, φ, ...

An introduction to symbolic logic. Symbolic logic provides a framework of formal reasoning with applications in mathematics, cognitive science, computer science and philosophy. Topics include ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...

when thinking about logical agents, we imagine that the agent has a knowledge base (KB for short) that contains logical sentences that describe the state of the world you could think of a KB as a ...

This course is available on the BSc in Philosophy and Economics, BSc in Philosophy, Logic and Scientific Method, BSc in Philosophy, Politics and Economics and BSc in Politics and Philosophy. This ...