We introduce classical predicate logic, and talk a bit about its motivation. Before we do that, we review a bit one of the ideas from last time about combining proofs, since understanding how this ...

Note that when we have finished this proof in Example 3 we have an introduction of existential followed immediately by an elimination of existential. This inevitably happens when one pastes together ...

In two ways. First, most of the examples involve functions on fundamental inductive data types – such as lists, trees and dictionaries – and proofs about these functions.

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

Proof-theoretical notions and techniques, developed on the basis of sentential/symbolic representations of formal proofs, are applied to Euler diagrams. A translation of an Euler diagrammatic system ...

This paper is focused on translating the modalities of fundamental temporal logical systems into the language of Transparent Intensional Logic, which represents a very expressive methodology for the ...

Karl-Georg Niebergall, On the Logic of Reducibility: Axioms and Examples, Erkenntnis (1975-), Vol. 53, No. 1/2, Concepts of Reduction in Logic and Philosophy (2000), pp. 27-61 ...