Logic for Computable Functions (LCF) is an interactive automated theorem prover developed at the universities of Edinburgh and Stanford by Robin Milner and others in 1972. LCF introduced the general-purpose programming language ML to allow users to write theorem-proving tactics. Theorems in the system are propositions of a special "theorem" abstract datatype. The ML type system ensures that theorems are derived using only the inference rules given by the operations of the abstract type.
Successors include HOL (Higher Order Logic) and Isabelle.
Famous quotes containing the words logic and/or functions:
“We want in every man a long logic; we cannot pardon the absence of it, but it must not be spoken. Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as propositions and have a separate value, it is worthless.”
—Ralph Waldo Emerson (1803–1882)
“Empirical science is apt to cloud the sight, and, by the very knowledge of functions and processes, to bereave the student of the manly contemplation of the whole.”
—Ralph Waldo Emerson (1803–1882)