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:
“The logic of the world is prior to all truth and falsehood.”
—Ludwig Wittgenstein (1889–1951)
“Let us stop being afraid. Of our own thoughts, our own minds. Of madness, our own or others’. Stop being afraid of the mind itself, its astonishing functions and fandangos, its complications and simplifications, the wonderful operation of its machinery—more wonderful because it is not machinery at all or predictable.”
—Kate Millett (b. 1934)