Lawrence C. Paulson – författare
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4 produkter
4 produkter
Del 2 - Cambridge Tracts in Theoretical Computer Science
Logic and Computation
Interactive Proof with Cambridge LCF
Häftad, Engelska, 1990
721 kr
Skickas inom 7-10 vardagar
This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.
Häftad, Engelska, 2002
649 kr
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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.
Häftad, Engelska, 1994
558 kr
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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.
Häftad, Engelska, 2010
1 108 kr
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This volume contains the papers presented at ITP 2010: the First International ConferenceonInteractiveTheoremProving. It washeldduring July11-14,2010 in Edinburgh, Scotland as part of the Federated Logic Conference (FLoC, July 9-21, 2010) alongside the other FLoC conferences and workshops. ITP combines the communities of two venerable meetings: the TPHOLs c- ference and the ACL2 workshop. The former conference originated in 1988 as a workshop for users of the HOL proof assistant. The ?rst two meetings were at the University of Cambridge, but afterwards they were held in a variety of venues. By 1992, the workshop acquired the name Higher-Order Logic Theorem Proving and Its Applications. In 1996, it was christened anew as Theorem Pr- ing in Higher-Order Logics, TPHOLs for short, and was henceforth organizedas a conference. Each of these transitions broadened the meeting's scope from the original HOL system to include other proof assistants based on forms of high- order logic, including Coq, Isabelle and PVS.TPHOLs has regularly published research done using ACL2 (the modern version of the well-known Boyer-Moore theorem prover), even though ACL2 implements a unique computational form of ?rst-order logic. The ACL2 community has run its own series of workshops since1999. BymergingTPHOLswith the ACL2workshop,weinclude a broader community of researchers who work with interactive proof tools. With our enlarged community, it was not surprising that ITP attracted a record-breaking 74 submissions, each of which was reviewed by at least three Programme Committee members.