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Forall X

Forall X
Author: P. D. Magnus
Publisher:
Total Pages: 0
Release: 2023
Genre: Logic
ISBN:

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Forall X

Forall X
Author: P. D. Magnus
Publisher: Orange Grove Texts Plus
Total Pages: 0
Release: 2009-09-24
Genre:
ISBN: 9781616100353

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This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. It contains content, practice exercises, symbolic notations, and solutions to selected exercises. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. Anyone using this book is best advised to make a hard copy for reading and to work through practice exercises with pencil and paper. See: http: //www.fecundity.com/logic/download.html to download the book in raw LaTeX, and to link to Lulu on-demand publisher to order a bound hard copy. The most recent version is available on-line at http: //www.fecundity.com/logic, OGT+ ISBN: 97816161003


Certified Programming with Dependent Types

Certified Programming with Dependent Types
Author: Adam Chlipala
Publisher: MIT Press
Total Pages: 437
Release: 2013-12-06
Genre: Computers
ISBN: 0262317885

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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.


Death

Death
Author: Jaggi Vasudev (Sadhguru)
Publisher: Penguin/Ananda
Total Pages: 0
Release: 2020
Genre: Philosophy
ISBN: 9780143450832

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Whether a believer or not, a devotee or an agnostic, an accomplished seeker or a simpleton, this is truly a book for all those who shall die!


Sets, Logic, Computation

Sets, Logic, Computation
Author: Richard Zach
Publisher:
Total Pages: 418
Release: 2021-07-13
Genre:
ISBN:

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A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.


Program Proofs

Program Proofs
Author: K. Rustan M. Leino
Publisher: MIT Press
Total Pages: 498
Release: 2023-03-07
Genre: Computers
ISBN: 026254623X

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This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and the verification-aware programming language Dafny. Program Proofs shows students what it means to write specifications for programs, what it means for programs to satisfy those specifications, and how to write proofs that connect specifications and programs. Writing with clarity and humor, K. Rustan M. Leino first provides an overview of the basic theory behind reasoning about programs. He then gradually builds up to complex concepts and applications, until students are facing real programs using objects, data structures, and non-trivial recursion. To emphasize the practical nature of program proofs, all material and examples use the verification-aware programming language Dafny, but no previous knowledge of Dafny is assumed. Written in a highly readable and student-friendly style Builds up to complex concepts in an incremental manner Comprehensively covers how to write proofs and how to specify and verify both functional programs and imperative programs Uses real program text from a real programming language, not psuedo code Features engaging illustrations and hands-on learning exercises


SQL and Relational Theory

SQL and Relational Theory
Author: C. Date
Publisher: "O'Reilly Media, Inc."
Total Pages: 447
Release: 2011-12-16
Genre: Computers
ISBN: 1449316409

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SQL is full of difficulties and traps for the unwary. You can avoid them if you understand relational theory, but only if you know how to put the theory into practice. In this insightful book, author C.J. Date explains relational theory in depth, and demonstrates through numerous examples and exercises how you can apply it directly to your use of SQL. This second edition includes new material on recursive queries, “missing information” without nulls, new update operators, and topics such as aggregate operators, grouping and ungrouping, and view updating. If you have a modest-to-advanced background in SQL, you’ll learn how to deal with a host of common SQL dilemmas. Why is proper column naming so important? Nulls in your database are causing you to get wrong answers. Why? What can you do about it? Is it possible to write an SQL query to find employees who have never been in the same department for more than six months at a time? SQL supports “quantified comparisons,” but they’re better avoided. Why? How do you avoid them? Constraints are crucially important, but most SQL products don’t support them properly. What can you do to resolve this situation? Database theory and practice have evolved since the relational model was developed more than 40 years ago. SQL and Relational Theory draws on decades of research to present the most up-to-date treatment of SQL available. C.J. Date has a stature that is unique within the database industry. A prolific writer well known for the bestselling textbook An Introduction to Database Systems (Addison-Wesley), he has an exceptionally clear style when writing about complex principles and theory.


SQL and Relational Theory

SQL and Relational Theory
Author: C.J. Date
Publisher: "O'Reilly Media, Inc."
Total Pages: 584
Release: 2015-11-06
Genre: Computers
ISBN: 1491941154

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Annotation C.J. Date, one of the key researchers in the field of relational databases, explains in this book the best practices of database coding, with clear explanations of the reasoning behind them. Common advice (such as avoiding NULLs) and not-so-common advices (such as avoiding duplicate records) are laid out in a clear manner.


Handbook of Practical Logic and Automated Reasoning

Handbook of Practical Logic and Automated Reasoning
Author: John Harrison
Publisher: Cambridge University Press
Total Pages: 703
Release: 2009-03-12
Genre: Computers
ISBN: 0521899575

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A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.


Higher Order Logic Theorem Proving and its Applications

Higher Order Logic Theorem Proving and its Applications
Author: L.J.M. Claesen
Publisher: Elsevier
Total Pages: 588
Release: 2014-05-23
Genre: Mathematics
ISBN: 148329840X

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The HOL system is a higher order logic theorem proving system implemented at Edinburgh University, Cambridge University and INRIA. Its many applications, from the verification of hardware designs at all levels to the verification of programs and communication protocols are considered in depth in this volume. Other systems based on higher order logic, namely Nuprl and LAMBDA are also discussed. Features given particular consideration are: novel developments in higher order logic and its implementations in HOL; formal design and verification methodologies for hardware and software; public domain availability of the HOL system. Papers addressing these issues have been divided as follows: Mathematical Logic; Induction; General Modelling and Proofs; Formalizing and Modelling of Automata; Program Verification; Hardware Description Language Semantics; Hardware Verification Methodologies; Simulation in Higher Order Logic; Extended Uses of Higher Order Logic. Academic and industrial researchers involved in formal hardware and software design and verification methods should find the publication especially interesting and it is hoped it will also provide a useful reference tool for those working at software institutes and within the electronics industries.