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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.
Author: Antony Galton
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 312
Get Book Here
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.
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.
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
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.
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.
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.
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.
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.
Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1000400654
Category : Business & Economics
Languages : en
Pages : 286
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Book Description
Focusing on the cutting-edge applications of AI cognitive computing from neuromorphic to quantum cognition as applied to AI business analytics, this new volume explores AI’s importance in managing cognitive processes along with ontological modeling concepts for venturing into new business frontiers. The volume presents a selection of significant new accomplishments in the areas of AI cognitive computing ranging from neurocognition perception and decision-making in the human brain—combining neurocognitive techniques and effective computing—to basic facial recognition computing models. Topics include: Agent neurocomputing techniques for facial expression recognition Computing haptic motion and ontology epistemic Characterizations of morph schemas for visual analytics Learning and perceptive computing Functional and structural neuroimaging modeling Observed links between facial recognition and affective emotional processes Interaction of cognitive and emotional processes during social decision-making Neurocognitive processing of emotional facial expressions in individuals Neurocognitive affective system for emotive robot androids Virtual reality-based affect adaptive neuromorphic computing Executive surveys indicate that cognitive adoption is very important in business strategy for success and to remain competitive. Employing cognitive-based processes provides the way to get the right information in the right hands at the right time, which is the key to winning in the digital era and to driving business value that emphasizes competitive differentiation. Several chapters of the volume address the goal of using cognitive technology to improve search capabilities, to provide personalized customer service in business and in health and wellness, and to create better workflow management. Key features: Looks at the newest frontiers on very popular AI and analytics topics Discusses new techniques for visual analytics and data filtering Shows how AI and cognitive science merges with quantum neurocognitive computing Presents ontology models with ontology preservation data filtering techniques Provides a cross-transposition on AI and digitizations for business model innovations Artificial Intelligence and Computing Logic: Cognitive Technology for AI Business Analytics is a valuable resource that informs businesses and other enterprises the value of artificial intelligence and computing logic applications.
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.
