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 ...

A two-stage procedure is described which induces type-logical grammar lexicons from sentences annotated with skeletal terms of the simply typed lambda calculus. First, a generalized formulae-as-types ...

Technical Terms Computational Logic: The study of formal systems used to represent and automate logical reasoning, particularly through algorithms and computer-based proof methods.

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 ...