Computer Science And Multiple Valued Logic
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Computer Science And Multiple Valued Logic
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Author : David C. Rine
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Computer Science And Multiple Valued Logic written by David C. Rine and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Technology & Engineering categories.
Computer Science and Multiple-Valued Logic: Theory and Applications focuses on the processes, methodologies, and approaches involved in multiple-valued logic and its relationship to computer science. The selection first tackles an introduction to multiple-valued logic, lattice theory of post algebras, multiple-valued logic design and applications in binary computers, smallest many-valued logic for the treatment of complemented and uncomplemented error signals, and chain based lattices. Discussions focus on formulation, representation theory, theory and circuit design, logical tables, and unary operations. The text then examines multiple-valued signal processing with limiting, development of multiple-valued logic as related to computer science, p-algebras, and an algorithm for axiomatizing every finite logic. The book takes a look at completeness properties of multiple-valued logic algebras, computer simplification of multi-valued switching functions, and minimization of multivalued functions. Topics include generation of prime implicants, realizations, minimization algorithms, decomposition algorithm for multi-valued switching functions, and relation between the sum-of-products form and array of cubes. The selection is aimed at computer engineers, computer scientists, applied mathematicians, and physicists interested in multiple-valued logic as the discipline relates to computer engineering and computer science.
Representation Of Multiple Valued Logic Functions
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Author : Radomir S. Stanković
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2012
Representation Of Multiple Valued Logic Functions written by Radomir S. Stanković and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them.
Beyond Two Theory And Applications Of Multiple Valued Logic
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Author : Melvin Fitting
language : en
Publisher: Physica
Release Date : 2013-06-05
Beyond Two Theory And Applications Of Multiple Valued Logic written by Melvin Fitting and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.
This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.
Multiple Valued Logic
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Author : Institute of Electrical and Electronics Engineers, Inc. Staff
language : en
Publisher:
Release Date : 1999
Multiple Valued Logic written by Institute of Electrical and Electronics Engineers, Inc. Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Electronic books categories.
This text covers the 29th International Conference on Multi-Valued Logic, looking at computational mathematics and complexity theory. It is aimed at researchers, professors, practitioners, students and other computing professionals."
Claudio Moraga A Passion For Multi Valued Logic And Soft Computing
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Author : Rudolf Seising
language : en
Publisher: Springer
Release Date : 2016-10-20
Claudio Moraga A Passion For Multi Valued Logic And Soft Computing written by Rudolf Seising and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Computers categories.
The book is an authoritative collection of contributions by leading experts on the topics of fuzzy logic, multi-valued logic and neural network. Originally written as an homage to Claudio Moraga, seen by his colleagues as an example of concentration, discipline and passion for science, the book also represents a timely reference guide for advance students and researchers in the field of soft computing, and multiple-valued logic.
Multi Valued Reasoning About Reactive Systems
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Author : Orna Kupferman
language : en
Publisher:
Release Date : 2022-12
Multi Valued Reasoning About Reactive Systems written by Orna Kupferman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12 with categories.
Traditionally computer science has been Boolean in nature giving rise to systems based on proving correctness. Correctness is binary, but many questions we want to ask about systems are multi-valued. In modern computing systems this is becoming increasingly insufficient. In particular, beyond checking whether a system satisfies its specification, we may want to evaluate the quality in which the specification is satisfied. This has led to a shift from Boolean specification formalisms to multi-valued ones, which involves a development of multi-valued temporal logics as well as algorithms and tools for reasoning about such logics. This timely in-depth review describes the basics of specification and verification of reactive systems, and the automata-theoretic approach for them: by translating temporal-logic formulas to automata. As introductory material, the author describes the Boolean setting in which the formalisms specify infinite computations. This begins with linear temporal logic, and then focusses on automata on infinite words and their theoretical properties. The author then shows how to refine the Boolean correctness query by a quantitative one in two multi-valued settings. The formalisms introduced are such that the satisfaction value of a temporal-logic formula in a computation, or the membership value of a word in the language of an automaton, are multi valued, and classical decision problems become search problems. Multi-Valued Reasoning about Reactive Systems is a concise source for all researchers and students wishing to understand quickly the theory behind the topic and the context it has within the wider active research branch.
Representations Of Multiple Valued Logic Functions
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Author : Radomir S. Stankovic
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Representations Of Multiple Valued Logic Functions written by Radomir S. Stankovic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.
Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms
Constraint Solving Over Multi Valued Logics
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Author : Francisco Azevedo
language : en
Publisher: IOS Press
Release Date : 2003
Constraint Solving Over Multi Valued Logics written by Francisco Azevedo and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.
Systems are subject to faults in their components, affecting their overall behaviour. This work addresses such problems developing models with multi-valued logics that it formalizes and generalizes to multiple faults. Such logics extend Boolean logic by encoding dependencies on faults.
Automated Deduction In Multiple Valued Logics
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Author : Reiner Hähnle
language : en
Publisher:
Release Date : 1993
Automated Deduction In Multiple Valued Logics written by Reiner Hähnle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
A notation called sets-as-signs is developed, and then it is demonstrated how it can be used to modify any known inference method to handle many-valued logics. Applications are discussed, both in pure mathematics, and in hardware verification and interval arithmetic. Concludes with a historical overview of activities in many-valued theorem proving. Annotation copyright by Book News, Inc., Portland, OR
Multiple Valued Computing In Quantum Molecular Biology
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Author : Hafiz Md. Hasan Babu
language : en
Publisher: CRC Press
Release Date : 2023-10-03
Multiple Valued Computing In Quantum Molecular Biology written by Hafiz Md. Hasan Babu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-03 with Computers categories.
This book focuses on the design methodologies of various quantum circuits, DNA circuits, DNA-quantum circuits and quantum-DNA circuits. It considers the merits and challenges of multivalued logic circuits in quantum, DNA, quantum-DNA and DNA-quantum computing. Multiple-Valued Computing in Quantum Molecular Biology: Arithmetic and Combinational Circuits is Volume 1 of a two-volume set. From fundamentals to advanced levels, this book discusses different multiple-valued logic DNA-quantum and quantum-DNA circuits. The text consists of four parts. Part I introduces multiple-valued quantum computing and DNA computing. It contains the basic understanding of multiple-valued quantum computing, multiple-valued DNA computing, multiple-valued quantum-DNA computing and multiple-valued DNA-quantum computing. Part II examines heat calculation, speed calculation, heat transfer, data conversion and data management in multi-valued quantum, DNA, quantum-DNA and DNA-quantum computing. Part III discusses multiple-valued logic operations in quantum and DNA computing such as ternary AND, NAND, OR, NOR, XOR, XNOR and multiple-valued arithmetic operations such as adder, multiplier, divider and more. Quantum-DNA and DNA-quantum multiple-valued arithmetic operations are also explained in this section. Part IV explains multiple-valued quantum and DNA combinational circuits such as multiple-valued DNA-quantum and quantum-DNA multiplexer, demultiplexer, encoder and decoder. This book will be of great help to researchers and students in quantum computing, DNA computing, quantum-DNA computing and DNA-quantum computing researchers.