Author: Michael J. C. Gordon
Publisher:
ISBN: 9780521441896
Category : Computers
Languages : en
Pages : 472
Book Description
Higher-Order Logic (HOL) is a proof development system intended for applications to both hardware and software. It is principally used in two ways: for directly proving theorems, and as theorem-proving support for application-specific verification systems. HOL is currently being applied to a wide variety of problems, including the specification and verification of critical systems. Introduction to HOL provides a coherent and self-contained description of HOL containing both a tutorial introduction and most of the material that is needed for day-to-day work with the system. After a quick overview that gives a "hands-on feel" for the way HOL is used, there follows a detailed description of the ML language. The logic that HOL supports and how this logic is embedded in ML, are then described in detail. This is followed by an explanation of the theorem-proving infrastructure provided by HOL. Finally two appendices contain a subset of the reference manual, and an overview of the HOL library, including an example of an actual library documentation.
Introduction to HOL
Author: Michael J. C. Gordon
Publisher:
ISBN: 9780521441896
Category : Computers
Languages : en
Pages : 472
Book Description
Higher-Order Logic (HOL) is a proof development system intended for applications to both hardware and software. It is principally used in two ways: for directly proving theorems, and as theorem-proving support for application-specific verification systems. HOL is currently being applied to a wide variety of problems, including the specification and verification of critical systems. Introduction to HOL provides a coherent and self-contained description of HOL containing both a tutorial introduction and most of the material that is needed for day-to-day work with the system. After a quick overview that gives a "hands-on feel" for the way HOL is used, there follows a detailed description of the ML language. The logic that HOL supports and how this logic is embedded in ML, are then described in detail. This is followed by an explanation of the theorem-proving infrastructure provided by HOL. Finally two appendices contain a subset of the reference manual, and an overview of the HOL library, including an example of an actual library documentation.
Publisher:
ISBN: 9780521441896
Category : Computers
Languages : en
Pages : 472
Book Description
Higher-Order Logic (HOL) is a proof development system intended for applications to both hardware and software. It is principally used in two ways: for directly proving theorems, and as theorem-proving support for application-specific verification systems. HOL is currently being applied to a wide variety of problems, including the specification and verification of critical systems. Introduction to HOL provides a coherent and self-contained description of HOL containing both a tutorial introduction and most of the material that is needed for day-to-day work with the system. After a quick overview that gives a "hands-on feel" for the way HOL is used, there follows a detailed description of the ML language. The logic that HOL supports and how this logic is embedded in ML, are then described in detail. This is followed by an explanation of the theorem-proving infrastructure provided by HOL. Finally two appendices contain a subset of the reference manual, and an overview of the HOL library, including an example of an actual library documentation.
Theorem Proving in Higher Order Logics
Author: Stefan Berghofer
Publisher: Springer
ISBN: 3642033598
Category : Computers
Languages : en
Pages : 517
Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.
Publisher: Springer
ISBN: 3642033598
Category : Computers
Languages : en
Pages : 517
Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.
Concrete Semantics
Author: Tobias Nipkow
Publisher: Springer
ISBN: 3319105426
Category : Computers
Languages : en
Pages : 304
Book Description
Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
Publisher: Springer
ISBN: 3319105426
Category : Computers
Languages : en
Pages : 304
Book Description
Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
Isabelle/HOL
Author: Tobias Nipkow
Publisher: Springer
ISBN: 3540459499
Category : Mathematics
Languages : en
Pages : 220
Book Description
This volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages.
Publisher: Springer
ISBN: 3540459499
Category : Mathematics
Languages : en
Pages : 220
Book Description
This volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages.
VLSI Specification, Verification and Synthesis
Author: Graham Birtwistle
Publisher: Springer Science & Business Media
ISBN: 1461320070
Category : Technology & Engineering
Languages : en
Pages : 405
Book Description
VLSI Specification, Verification and Synthesis Proceedings of a workshop held in Calgary from 12-16 January 1987. The collection of papers in this book represents some of the discussions and presentations at a workshop on hardware verification held in Calgary, January 12-16 1987. The thrust of the workshop was to give the floor to a few leading researchers involved in the use of formal approaches to VLSI design, and provide them ample time to develop not only their latest ideas but also the evolution of these ideas. In contrast to simulation, where the objective is to assist in detecting errors in system behavior in the case of some selected inputs, the intent of hardware verification is to formally prove that a chip design meets a specification of its intended behavior (for all acceptable inputs). There are several important applications where formal verification of designs may be argued to be cost-effective. Examples include hardware components used in "safety critical" applications such as flight control, industrial plants, and medical life-support systems (such as pacemakers). The problems are of such magnitude in certain defense applications that the UK Ministry of Defense feels it cannot rely on commercial chips and has embarked on a program of producing formally verified chips to its own specification. Hospital, civil aviation, and transport boards in the UK will also use these chips. A second application domain for verification is afforded by industry where specific chips may be used in high volume or be remotely placed.
Publisher: Springer Science & Business Media
ISBN: 1461320070
Category : Technology & Engineering
Languages : en
Pages : 405
Book Description
VLSI Specification, Verification and Synthesis Proceedings of a workshop held in Calgary from 12-16 January 1987. The collection of papers in this book represents some of the discussions and presentations at a workshop on hardware verification held in Calgary, January 12-16 1987. The thrust of the workshop was to give the floor to a few leading researchers involved in the use of formal approaches to VLSI design, and provide them ample time to develop not only their latest ideas but also the evolution of these ideas. In contrast to simulation, where the objective is to assist in detecting errors in system behavior in the case of some selected inputs, the intent of hardware verification is to formally prove that a chip design meets a specification of its intended behavior (for all acceptable inputs). There are several important applications where formal verification of designs may be argued to be cost-effective. Examples include hardware components used in "safety critical" applications such as flight control, industrial plants, and medical life-support systems (such as pacemakers). The problems are of such magnitude in certain defense applications that the UK Ministry of Defense feels it cannot rely on commercial chips and has embarked on a program of producing formally verified chips to its own specification. Hospital, civil aviation, and transport boards in the UK will also use these chips. A second application domain for verification is afforded by industry where specific chips may be used in high volume or be remotely placed.
House of Leaves
Author: Mark Z. Danielewski
Publisher: Pantheon
ISBN: 0375420525
Category : Fiction
Languages : en
Pages : 738
Book Description
THE MIND-BENDING CULT CLASSIC ABOUT A HOUSE THAT’S LARGER ON THE INSIDE THAN ON THE OUTSIDE • A masterpiece of horror and an astonishingly immersive, maze-like reading experience that redefines the boundaries of a novel. ''Simultaneously reads like a thriller and like a strange, dreamlike excursion into the subconscious." —Michiko Kakutani, The New York Times "Thrillingly alive, sublimely creepy, distressingly scary, breathtakingly intelligent—it renders most other fiction meaningless." —Bret Easton Ellis, bestselling author of American Psycho “This demonically brilliant book is impossible to ignore.” —Jonathan Lethem, award-winning author of Motherless Brooklyn One of The Atlantic’s Great American Novels of the Past 100 Years Years ago, when House of Leaves was first being passed around, it was nothing more than a badly bundled heap of paper, parts of which would occasionally surface on the Internet. No one could have anticipated the small but devoted following this terrifying story would soon command. Starting with an odd assortment of marginalized youth—musicians, tattoo artists, programmers, strippers, environmentalists, and adrenaline junkies—the book eventually made its way into the hands of older generations, who not only found themselves in those strangely arranged pages but also discovered a way back into the lives of their estranged children. Now made available in book form, complete with the original colored words, vertical footnotes, and second and third appendices, the story remains unchanged. Similarly, the cultural fascination with House of Leaves remains as fervent and as imaginative as ever. The novel has gone on to inspire doctorate-level courses and masters theses, cultural phenomena like the online urban legend of “the backrooms,” and incredible works of art in entirely unrealted mediums from music to video games. Neither Pulitzer Prize-winning photojournalist Will Navidson nor his companion Karen Green was prepared to face the consequences of the impossibility of their new home, until the day their two little children wandered off and their voices eerily began to return another story—of creature darkness, of an ever-growing abyss behind a closet door, and of that unholy growl which soon enough would tear through their walls and consume all their dreams.
Publisher: Pantheon
ISBN: 0375420525
Category : Fiction
Languages : en
Pages : 738
Book Description
THE MIND-BENDING CULT CLASSIC ABOUT A HOUSE THAT’S LARGER ON THE INSIDE THAN ON THE OUTSIDE • A masterpiece of horror and an astonishingly immersive, maze-like reading experience that redefines the boundaries of a novel. ''Simultaneously reads like a thriller and like a strange, dreamlike excursion into the subconscious." —Michiko Kakutani, The New York Times "Thrillingly alive, sublimely creepy, distressingly scary, breathtakingly intelligent—it renders most other fiction meaningless." —Bret Easton Ellis, bestselling author of American Psycho “This demonically brilliant book is impossible to ignore.” —Jonathan Lethem, award-winning author of Motherless Brooklyn One of The Atlantic’s Great American Novels of the Past 100 Years Years ago, when House of Leaves was first being passed around, it was nothing more than a badly bundled heap of paper, parts of which would occasionally surface on the Internet. No one could have anticipated the small but devoted following this terrifying story would soon command. Starting with an odd assortment of marginalized youth—musicians, tattoo artists, programmers, strippers, environmentalists, and adrenaline junkies—the book eventually made its way into the hands of older generations, who not only found themselves in those strangely arranged pages but also discovered a way back into the lives of their estranged children. Now made available in book form, complete with the original colored words, vertical footnotes, and second and third appendices, the story remains unchanged. Similarly, the cultural fascination with House of Leaves remains as fervent and as imaginative as ever. The novel has gone on to inspire doctorate-level courses and masters theses, cultural phenomena like the online urban legend of “the backrooms,” and incredible works of art in entirely unrealted mediums from music to video games. Neither Pulitzer Prize-winning photojournalist Will Navidson nor his companion Karen Green was prepared to face the consequences of the impossibility of their new home, until the day their two little children wandered off and their voices eerily began to return another story—of creature darkness, of an ever-growing abyss behind a closet door, and of that unholy growl which soon enough would tear through their walls and consume all their dreams.
Hol, Human Occupied Landfill
Author: Chris Elliott
Publisher: The CaBil
ISBN: 9780966476514
Category : Games & Activities
Languages : en
Pages : 150
Book Description
Publisher: The CaBil
ISBN: 9780966476514
Category : Games & Activities
Languages : en
Pages : 150
Book Description
Isabelle
Author: Lawrence C. Paulson
Publisher: Springer Science & Business Media
ISBN: 9783540582441
Category : Computers
Languages : en
Pages : 348
Book Description
This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.
Publisher: Springer Science & Business Media
ISBN: 9783540582441
Category : Computers
Languages : en
Pages : 348
Book Description
This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.
Certified Programming with Dependent Types
Author: Adam Chlipala
Publisher: MIT Press
ISBN: 0262545748
Category : Computers
Languages : en
Pages : 437
Book Description
A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Publisher: MIT Press
ISBN: 0262545748
Category : Computers
Languages : en
Pages : 437
Book Description
A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Theorem Proving in Higher Order Logics
Author: Klaus Schneider
Publisher: Springer Science & Business Media
ISBN: 3540745904
Category : Computers
Languages : en
Pages : 408
Book Description
This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.
Publisher: Springer Science & Business Media
ISBN: 3540745904
Category : Computers
Languages : en
Pages : 408
Book Description
This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.