Isabelle: The Next 700 Theorem Provers
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by
Lawrence C. Paulson
2000
Abstract
Isabelle is a generic theorem prover, designed for interactive reasoning in a
variety of formal theories. At present it provides useful proof procedures for
Constructive Type Theory, various first-order logics, Zermelo-Fraenkel set
theory, and higher-order logic. This survey of Isabelle serves as an
introduction to the literature. It explains why generic theorem proving is
beneficial. It gives a thorough history of Isabelle, beginning with its origins
in the LCF system. It presents an account of how logics are represented,
illustrated using classical logic. The approach is compared with the Edinburgh
Logical Framework. Several of the Isabelle object-logics are presented.
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