Logic for Information Technology

Logic for Information Technology PDF Author: Antony Galton
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 312

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Book Description
This introduction to logic as it applies to information technology is written specifically from the point of view of computer science students. The author's approach adheres to imparting the canonical logic theories--propositional calculus and first-order predicate calculus. The text first introduces a wide range of general logic concepts that are applicable to any variety of logic, followed by detailed clear exposition of the propositional and predicate calculuses and their proof theories. Different methods of validating propositional inferences, as well as the means of determining the adequacy of such methods, are discussed. Algorithmic aspects are stressed, as is the deductive character of logic. The author takes pains throughout the text to eradicate a number of common confusions and misunderstandings, including those between the material conditional (if/then) and logical implication; between syntactical and semantical consequence relations (deducibility vs entailment); and between Use and Mention. All variables used in the predicate calculus are bound by quantifiers, thus avoiding the cumbersome use of variable assignments.

Logic for Artificial Intelligence and Information Technology

Logic for Artificial Intelligence and Information Technology PDF Author: Dov M. Gabbay
Publisher:
ISBN: 9781904987390
Category : Computers
Languages : en
Pages : 584

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Book Description
Logic for Artificial Intelligence and Information Technology is based on student notes used to teach logic to second year undergraduates and Artificial Intelligence to graduate students at the University of London since1984, first at Imperial College and later at King's College. Logic has been applied to a wide variety of subjects such as theoretical computer science, software engineering, hardware design, logic programming, computational linguistics and artificial intelligence. In this way it has served to stimulate the research for clear conceptual foundations. Over the past 20 years many extensions of classical logic such as temporal, modal, relevance, fuzzy, probabilistic and non-monotoinic logics have been widely used in computer science and artificial intelligence, therefore requiring new formulations of classical logic, which can be modified to yield the effect of the new applied logics. The text introduces classical logic in a goal directed way which can easily deviate into discussing other applied logics. It defines the many types of logics and differences between them. Dov Gabbay, FRSC, FAvH, FRSA, FBCS, is Augustus De Morgan Professor of Logic at the University of London. He has written over 300 papers in logic and over 20 books. He is Editor-in-Chief of several leading journals and has published over 50 handbooks of logic volumes. He is a world authority on applied logics and is one of the directors and founder of the UK charity the International Federation of Computational Logic

Logic and Information Flow

Logic and Information Flow PDF Author: Jan Eijck
Publisher: MIT Press
ISBN: 9780262220477
Category : Computers
Languages : en
Pages : 256

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Book Description
The logic of information flow has applications in both computer science and natural language processing and is a growing area within mathematical and philosophical logic.

Essential Logic for Computer Science

Essential Logic for Computer Science PDF Author: Rex Page
Publisher: MIT Press
ISBN: 0262039184
Category : Computers
Languages : en
Pages : 305

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Book Description
An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.

Logic for Information Technology

Logic for Information Technology PDF Author: Antony Galton
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 312

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Book Description
This introduction to logic as it applies to information technology is written specifically from the point of view of computer science students. The author's approach adheres to imparting the canonical logic theories--propositional calculus and first-order predicate calculus. The text first introduces a wide range of general logic concepts that are applicable to any variety of logic, followed by detailed clear exposition of the propositional and predicate calculuses and their proof theories. Different methods of validating propositional inferences, as well as the means of determining the adequacy of such methods, are discussed. Algorithmic aspects are stressed, as is the deductive character of logic. The author takes pains throughout the text to eradicate a number of common confusions and misunderstandings, including those between the material conditional (if/then) and logical implication; between syntactical and semantical consequence relations (deducibility vs entailment); and between Use and Mention. All variables used in the predicate calculus are bound by quantifiers, thus avoiding the cumbersome use of variable assignments.

Mathematical Logic for Computer Science

Mathematical Logic for Computer Science PDF Author: Mordechai Ben-Ari
Publisher: Springer Science & Business Media
ISBN: 1447103351
Category : Computers
Languages : en
Pages : 311

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Book Description
This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.

Logic for Computer Scientists

Logic for Computer Scientists PDF Author: Uwe Schöning
Publisher: Springer Science & Business Media
ISBN: 0817647635
Category : Mathematics
Languages : en
Pages : 173

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Book Description
This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Logic and the Organization of Information

Logic and the Organization of Information PDF Author: Martin Frické
Publisher: Springer Science & Business Media
ISBN: 1461430887
Category : Computers
Languages : en
Pages : 317

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Book Description
Logic and the Organization of Information closely examines the historical and contemporary methodologies used to catalogue information objects—books, ebooks, journals, articles, web pages, images, emails, podcasts and more—in the digital era. This book provides an in-depth technical background for digital librarianship, and covers a broad range of theoretical and practical topics including: classification theory, topic annotation, automatic clustering, generalized synonymy and concept indexing, distributed libraries, semantic web ontologies and Simple Knowledge Organization System (SKOS). It also analyzes the challenges facing today’s information architects, and outlines a series of techniques for overcoming them. Logic and the Organization of Information is intended for practitioners and professionals working at a design level as a reference book for digital librarianship. Advanced-level students, researchers and academics studying information science, library science, digital libraries and computer science will also find this book invaluable.

Fundamentals of Logic and Computation

Fundamentals of Logic and Computation PDF Author: Zhe Hou
Publisher: Springer Nature
ISBN: 3030878821
Category : Computers
Languages : en
Pages : 225

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Book Description
This textbook aims to help the reader develop an in-depth understanding of logical reasoning and gain knowledge of the theory of computation. The book combines theoretical teaching and practical exercises; the latter is realised in Isabelle/HOL, a modern theorem prover, and PAT, an industry-scale model checker. I also give entry-level tutorials on the two software to help the reader get started. By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity. The final chapter closes the gap with a discussion on the insight that links logic with computation. This book is written for a high-level undergraduate course or a Master's course. The hybrid skill set of practical theorem proving and model checking should be helpful for the future of readers should they pursue a research career or engineering in formal methods.

The Logic of Information

The Logic of Information PDF Author: Luciano Floridi
Publisher: Oxford University Press
ISBN: 0192570277
Category : Mathematics
Languages : en
Pages : 373

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Book Description
Luciano Floridi presents an innovative approach to philosophy, conceived as conceptual design. He explores how we make, transform, refine, and improve the objects of our knowledge. His starting point is that reality provides the data, to be understood as constraining affordances, and we transform them into information, like semantic engines. Such transformation or repurposing is not equivalent to portraying, or picturing, or photographing, or photocopying anything. It is more like cooking: the dish does not represent the ingredients, it uses them to make something else out of them, yet the reality of the dish and its properties hugely depend on the reality and the properties of the ingredients. Models are not representations understood as pictures, but interpretations understood as data elaborations, of systems. Thus, he articulates and defends the thesis that knowledge is design and philosophy is the ultimate form of conceptual design. Although entirely independent of Floridi's previous books, The Philosophy of Information (OUP 2011) and The Ethics of Information (OUP 2013), The Logic of Information both complements the existing volumes and presents new work on the foundations of the philosophy of information.

Mathematical Logic

Mathematical Logic PDF Author: Wei Li
Publisher: Springer Science & Business Media
ISBN: 3764399775
Category : Mathematics
Languages : en
Pages : 273

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Book Description
Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.