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Isabelle/HOL : a Proof Assistant for Higher-Order Logic

By: Paulson, Lawrence C.
Contributor(s): Nipkow, Tobias | Wenzel, Markus | Paulson, Lawrence C.
Material type: materialTypeLabelBookSeries: 2283. Lecture notes in computer science.Publisher: Berlin: Springer-Verlag, 2002Description: xiii, 218 p.; : 24 cm.ISBN: 3540433767 .Subject(s): Automatic theorem proving | Computer logic | Programming in HOL | Concrete syntax | Sets, Function & Relations | Tuples | Simplification, recursion & induction | Security protocol | Artificial intelligence | Logic & setsDDC classification: 004 Summary: This textbook-like tutorial is a self-contained introduction to interactive proof, specification, and verification in higher-order logic, using the proof assistant Isabelle 2002. In contrast to existing Isabelle documentation, this book provides a direct route into higher-order logic by bypassing first-order logic and minimizing discussion of meta-theory. Isabelle is a generic system for implementing logical formalisms, and Isabelle/​HOL is the specialization of Isabelle for higher-order logic; this theorem prover is well suited as a specification and verification system.
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This textbook-like tutorial is a self-contained introduction to interactive proof, specification, and verification in higher-order logic, using the proof assistant Isabelle 2002. In contrast to existing Isabelle documentation, this book provides a direct route into higher-order logic by bypassing first-order logic and minimizing discussion of meta-theory. Isabelle is a generic system for implementing logical formalisms, and Isabelle/​HOL is the specialization of Isabelle for higher-order logic; this theorem prover is well suited as a specification and verification system.

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