Isabelle : a generic theorem prover
"As a generic theorem prover, Isabelle supports a variety of logics. Distinctive features include Isabelle's representation of logics within a meta-logic and the use of higher-order unification to combine inference rules. Isabelle can be applied to reasoning in pure mathematics or verification of computer systems. This volume constitutes the Isabelle documentation. It begins by outlining theoretical aspects and then demonstrates the use in practice. Virtually all Isabelle functions are described, with advice on correct usage and numerous examples. Isabelle's built-in logics are also described in detail. There is a comprehensive bebliography and index. The book addresses prospective users of Isabelle as well as researchers in logic and automated reasoning."--PUBLISHER'S WEBSITE
Electronic resources (Books)
xvii, 321 pages : illustrations ; 24 cm
9783540582441, 9780387582443, 3540582444, 0387582444
30667004
I. Introduction to Isabelle. 1. Foundations. 2. Getting Started with Isabelle. 3. Advanced Methods
II. The Isabelle Reference Manual. 4. Basic Use of Isabelle. 5. Proof Management: The Subgoal Module. 6. Tactics. 7. Tacticals. 8. Theorems and Forward Proof. 9. Theories, Terms and Types. 10. Defining Logics. 11. Syntax Transformations. 12. Substitution Tactics. 13. Simplification. 14. The Classical Reasoner
III. Isabelle's Object-Logics. 15. Basic Concepts. 16. First-Order Logic. 17. Zermelo-Fraenkel Set Theory. 18. Higher-Order Logic. 19. First-Order Sequent Calculus. 20. Constructive Type Theory
A: Syntax of Isabelle Theories
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