1 edition of Logic and applications to computer science found in the catalog.
Logic and applications to computer science
Special issue. Devoted to a workshop held in Paris on 31 January-1 February 1990 and 23-24 January 1991. Contains the revised versions of six refereed contributions.
|Statement||guest editor: E. Grandjean.|
|Series||Theoretical computer science -- vol.101 (1)|
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From the Back Cover. This textbook provides a first introduction to mathematical logic which is closely attuned to the applications of logic in computer science. In it the authors emphasize the notion that deduction is a form of computation.
While all the traditional subjects of logic Logic and applications to computer science book covered thoroughly - syntax, semantics, completeness, Cited by: Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © Birkhӓuser, this second edition provides Logic and applications to computer science book modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of Logic and applications to computer science book mathematics and theoretical computer science from logic and set theory.5/5(1).
In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the recent dramatic growth in the applications of Logic and applications to computer science book to computer science. Thus our choice of topics has been heavily influenced by such.
In writing this book, our goal was to produce a text suitable for a Logic and applications to computer science book course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science.
Thus, our choice oftopics has been heavily influenced by such. From such axioms, the text then derives de tailed explanations of the elements of modem logic and mathematics: set theory, arithmetic, number theory, combinatorics, probability, and graph theory, with applications to computer : Birkhäuser Basel.
The coverage of this book is quite good for what concerns logic in computer science. However, Logic and applications to computer science book it as an introduction on logic for computer scientists is probably ambitious because the explanations are rather complicated for undergraduates.
A first course on logic and another on AI would not hurt before getting into this one/5(9). From here the author gives detailed, yet succinct, accounts of the applicatons of Boolean algebra to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory.
Although the book is aimed primarily at math, computer science, and electrical engineering majors, Cited by: Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set : Springer-Verlag New York.
applications of logic in computer science, neither is it primarily intended to be a first course in logic for students of mathematics or philosophy, although we believe that mush of the material will be increasingly relevant to both of these groups as computational ideas pervade their syllabuses.
mathematical procedure, the computer’s stock in trade. Algorithm has ceased to be used as a variant form of the older word. Webster’s II New Riverside University Dictionary Motivation for the Study of Logic In the early years of this century symbolic or formal logic File Size: KB.
Computer Logic: Design Principles and Applications introduces and describes the relevant concepts, principles and applications of modern computer logic design. The book is self-contained, with an introductory chapter that concisely covers the history of computing devices, as well as number systems, number conversions, signed and unsigned.
This chapter discusses the applications of variable-valued logic to pattern recognition and machine learning. Most of the work done on multiple-valued logic in relation to computer science is oriented toward providing a theoretical and practical basis for constructing non-binary computer and switching systems.
Students of science and engineering are required to study mathematics during their ﬁrst years at a university. Traditionally, they concentrate on calculus, linear algebra and differential equations, but in computer science and engineering, logic, combi- natorics and discrete mathematics are.
A very brief overview of the applications of logic in computer science. It begins with the discussion of propositional logic, giving two constraint-based algorithms for solving the satisfiability problem, called "linear" and "cubic" (I don't get it - how can an NP-complete problem have a cubic algorithm, unless P=NP?/5.
Areas of interest include mathematical and philosophical logic, computer science logic, foundations and philosophy of mathematics and the sciences, use of formal logic in areas of theoretical computer science and artificial intelligence, logic and linguistics, and the relationship between logic and other branches of knowledge.
The Handbook of Logic in Computer Science is a six volume, internationally authored work which offers a comprehensive treatment of the application of the concepts of logic to theoretical computer science.
Each volume is comprised of an average of five page monographs and presents an in-depth overview of a major subject area. information Computer science is the study of information processes. A process is a sequence processes of steps. Each step changes the state of the world in some small way, and the result of all the steps produces some goal state.
For example, baking a cake, mailing a letter, and planting a. Indeed, there is a very amazing one: existential second-order logic corresponds exactly (!) to the class of NP-complete problems.
This result is known as Fagin's theorem, it has lead to the new area of descriptive complexity where complexity classes are described by means of logical formalisms.
Professor Tremblay has co-authored several books in the McGraw-Hill Science Series and is also a co-author of "Logic and Discrete Mathematics: A Computer Science. He is currently a professor in the Department of Computer Science at the University of Saskatchewan. Professor Tremblay has co-authored several books in the McGraw-Hill Science Series and is also a co-author of "Logic and Discrete Mathematics: A Computer Science 4/5(3).
For example: Ranganathan Padmanabhan & Sergiu Rudeanu: "Axioms for Lattices and Boolean Algebras", World Scientific, James Donald Monk & Robert Bonnet: "Handbook of Boolean Algebras vols. ",North-Holland. Set Theory is indivisible from Logic where Computer Science has its roots.
It has been and is likely to continue to be a a source of fundamental ideas in Computer Science from theory to practice; Computer Science, being a science of the arti cial, has had many of Cited by: 2. Theoretical foundations and analysis. Logic plays a fundamental role in computer science.
Some of the key areas of logic that are particularly significant are computability theory (formerly called recursion theory), modal logic and category theory of computation is based on concepts defined by logicians and mathematicians such as Alonzo Church and Alan Turing.
Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science.
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Since the inputs and outputs of logic gates are just wires carrying on/off signals, logic gates can be wired together by connecting outputs from some gates to inputs of other gates.
The result is a logic circuit. An example is also shown in Figure The logic circuit in the figure has three inputs, labeled \(A, B,\) and \(C\). This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory.
It also serves as an excellent independent study reference and resource for instructors. Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic.
Logic is now widely recognized as one of the foundational disciplines of computing, and its applications reach almost every aspect of the subject, from software engineering and hardware to programming languages and AI.
The Handbook of Logic in Computer Science is a multi-volume work covering all the major areas of application of logic to theoretical computer science. Logic for Computer Science. Publisher: Wikibooks Description: This book discusses logic as a tool for computer science; a field that uses logic at all levels.
It provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the. Logic is the science of correct reasoning. What then is reasoning.
According to Aristotle [13, Topics, a25], reasoning is any argument in which certain assumptions or premises are laid down and then something other than these necessarily follows.
Thus logic is the science of necessary inference. Notes on Discrete Mathematics by James Aspnes. This is a course note on discrete mathematics as used in Computer Science. Topics covered includes: Mathematical logic, Set theory, The real numbers, Induction and recursion, Summation notation, Asymptotic notation, Number theory, Relations, Graphs, Counting, Linear algebra, Finite fields.
\plug-in" style approach to Computer Science: the same book could theoretically be used for multiple courses or the book could be extended by adding another part for a new language with minimal e ort.
Another inspiration for the structure of this book is the Computer Science I Honors course that I File Size: 2MB. GATE Study Material for CS and IT – For all the students appearing in GATEa comprehensive pool of GATE study material has been prepared.
You can get all the important GATE preparation for CS and IT details. The list of books, topics and GATE Study Material for CS and IT has been prepared after a lot of research. Applied logic - Applied logic - Applications of logic: The second main part of applied logic concerns the uses of logic and logical methods in different fields outside logic itself.
The most general applications are those to the study of language. Logic has also been applied to the study of knowledge, norms, and time. The second half of the 20th century witnessed an intensive interaction. From the reviews: "The book under review covers the topics which can usually be found in textbooks of discrete mathematics for students in computer science or mathematics (Boolean logic, predicate While the range of topics is relatively standard, the way they are presented is highly original.
This book introduces college students to the elementary theory of logic, sets, probability theory, and linear algebra and treats a number of applications either from everyday situations or from applications to the biological and social sciences. Diestel is excellent and has a free version available online.
It is not the easiest book around, but it runs deep and has a nice unifying theme of studying how. UGC NET Computer Science Solved Question Papers UGC NET Computer Science Previous Solved Papers E-Book.
UGC NET Computer Science Reference Books. NTA UGC NET Computer Science Updated Syllabus (June Onwards) please give us advice how to clear the UGC - Computer Applications NET. Reply Delete. Replies. Reply. Unknown 3 May at Logic plays a central role in the development of every area of learning, especially in mathematics and computer science.
Besides the philosophers, computer scientists also use logic to develop programming languages and to establish the correctness of programs. Electronics engineers apply logic in the design of computer chips. This book is designed for a one semester course pdf discrete mathematics for sophomore or junior pdf students.
The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, Business, and the sciences. Besides reading the book, students are strongly encouraged to do all the File Size: 1MB.Discrete Structures for Computer Science: Counting, Recursion, and Probability.
Post date: 28 Apr This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students. It covers mathematical reasoning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and.Applications.
Digital logic design forms the foundation of electrical engineering and computer engineering. Ebook logic designers build ebook electronic components that use both electrical and computational characteristics such as power, current, logical function, protocol, and user Outlook: The number of jobs was expected to grow by 3% from towhich is slower than average.