Further Improvements In The Boolean Domain

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Further Improvements in the Boolean Domain

Bernd Steinbach
Further Improvements in the Boolean Domain Book PDF

Author : Bernd Steinbach
Publisher : Cambridge Scholars Publishing
Page : 536 pages
File Size : 55,7 Mb
Release : 2019-01-18
Category : Computers
ISBN : 9781527526389

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Further Improvements in the Boolean Domain by Bernd Steinbach Pdf

The amount of digital systems supporting our daily life is increasing continuously. Improved technical facilities for their production have led to growing challenges for engineers and scientists working in the Boolean domain. A Boolean variable can only carry two different Boolean values: FALSE or TRUE (0 or 1), and has the best interference resistance in technical systems. However, a Boolean function exponentially depends on the number of its variables. This exponential complexity is the reason for major problems in the process of design and realization of circuits. According to Moore’s Law, the complexity of digital systems approximately doubles every 18 months. This requires comprehensive knowledge and techniques to solve very complex Boolean problems. This volume represents the third book in a series that provides further insights into the Boolean domain. Part 1 explores powerful models, methods and techniques which improve the efficiency in solving Boolean problems of extreme complexity. The universality of Boolean equations as a model to solve Non-deterministic Polynomial-time (NP) hard problems, as well as special properties of index generation functions, spectral techniques, or relational approaches, is discussed here. Both hardware devices, such as Field Programmable Gate Arrays (FPGAs) or Graphics Processing Units (GPUs), and optimized algorithms realized in software contribute to the acceleration of Boolean calculations. Part 2 contributes to the synthesis and visualization of digital circuits, and provides interesting new solutions for several types of circuits. A comprehensive collection of benchmarks supports the evolution of both existing and new synthesis approaches. The continuous reduction of the size of the transistors increases the challenges with regard to the reliability of the circuits. Part 3 describes several new approaches for the synthesis of reversible circuits. These approaches, as well as a classification of reversible functions, extend the basis of future quantum computers.

Problems and New Solutions in the Boolean Domain

Bernd Steinbach
Problems and New Solutions in the Boolean Domain Book PDF

Author : Bernd Steinbach
Publisher : Cambridge Scholars Publishing
Page : 480 pages
File Size : 50,9 Mb
Release : 2016-04-26
Category : Algebra, Boolean
ISBN : 9781443892421

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Problems and New Solutions in the Boolean Domain by Bernd Steinbach Pdf

The Internet of Things is a great new challenge for the development of digital systems. In addition to the increasing number of classical unconnected digital systems, more people are regularly using new electronic devices and software that are controllable and usable by means of the internet. All such systems utilize the elementariness of Boolean values. A Boolean variable can carry only two different Boolean values: FALSE or TRUE (0 or 1), and has the best interference resistance in technical systems. However, a Boolean function exponentially depends on the number of its variables. This exponential complexity is the cause of major problems in the process of design and realization of circuits. According to Moore’s Law, the complexity of digital systems approximately doubles every 18 months. This requires comprehensive knowledge and techniques to solve complex Boolean problems. This book summarizes both new problems and solutions in the Boolean domain in solving such issues. Part 1 describes powerful new approaches in solving exceptionally complex Boolean problems. Efficient methods contribute to solving problems of extreme complexity. New algorithms and programs utilize the huge number of computing cores of the Graphical Processing Unit and improve the performance of calculations by several orders of magnitude. Part 2 represents several applications of digital systems. Due to the crucial role of the internet, both solutions and open problems regarding the security of these systems are discussed. The exploration of certain properties of such systems leads to a number of efficient solutions, which can be reused in a wide field of applications. Part 3 discusses the scientific basis of future circuit technologies, investigating the need for completely new design methods for the atomic level of quantum computers. This part also concerns itself with reversible circuits as the basis for quantum circuits and specifies important issues regarding future improvements.

Recent Progress in the Boolean Domain

Bernd Steinbach
Recent Progress in the Boolean Domain Book PDF

Author : Bernd Steinbach
Publisher : Cambridge Scholars Publishing
Page : 455 pages
File Size : 47,6 Mb
Release : 2014-04-23
Category : Mathematics
ISBN : 9781443859677

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Recent Progress in the Boolean Domain by Bernd Steinbach Pdf

In today’s world, people are using more and more digital systems in daily life. Such systems utilize the elementariness of Boolean values. A Boolean variable can carry only two different Boolean values: FALSE or TRUE (0 or 1), and has the best interference resistance in technical systems. However, a Boolean function exponentially depends on the number of its variables. This exponential complexity is the cause of major problems in the process of design and realization of circuits. According to Moore’s Law, the complexity of digital systems approximately doubles every 18 months. This requires comprehensive knowledge and techniques to solve very complex Boolean problems. This book summarizes the recent progress in the Boolean domain in solving such issues. Part 1 describes the most powerful approaches in solving exceptionally complex Boolean problems. It is shown how an extremely rare solution could be found in a gigantic search space of more than 10^195 (this is a number of 196 decimal digits) different color patterns. Part 2 describes new research into digital circuits that realize Boolean functions. This part contains the chapters “Design” and “Test”, which present solutions to problems of power dissipation, and the testing of digital circuits using a special data structure, as well as further topics. Part 3 contributes to the scientific basis of future circuit technologies, investigating the need for completely new design methods for the atomic level of quantum computers. This section also concerns itself with circuit structures in reversible logic as the basis for quantum logic.

Advances in the Boolean Domain

Bernd Steinbach
Advances in the Boolean Domain Book PDF

Author : Bernd Steinbach
Publisher : Cambridge Scholars Publishing
Page : 254 pages
File Size : 46,8 Mb
Release : 2022-09-26
Category : Computers
ISBN : 9781527588738

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Advances in the Boolean Domain by Bernd Steinbach Pdf

This book gathers together the results of research on the Boolean domain related to important real-life applications that will support the reader in solving their scientific and practical tasks. It highlights that ongoing digitalization leads to increasing amounts of complex applications, the digits of which are usually encoded by Boolean variables due to their simplicity as only two values are used. However, as shown here, an exponentially growing number of vectors of Boolean variables can negate this simplicity, which leads to challenges in advancing progress in the Boolean domain and supporting a wide range of applications.

Advanced Boolean Techniques

Rolf Drechsler,Sebastian Huhn
Advanced Boolean Techniques Book PDF

Author : Rolf Drechsler,Sebastian Huhn
Publisher : Springer Nature
Page : 174 pages
File Size : 47,8 Mb
Release : 2023-05-29
Category : Technology & Engineering
ISBN : 9783031289163

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Advanced Boolean Techniques by Rolf Drechsler,Sebastian Huhn Pdf

This book describes recent findings in the domain of Boolean logic and Boolean algebra, covering application domains in circuit and system design, but also basic research in mathematics and theoretical computer science. Content includes invited chapters and a selection of the best papers presented at the 15th annual International Workshop on Boolean Problems.

Reversible Computation: Extending Horizons of Computing

Irek Ulidowski,Ivan Lanese,Ulrik Pagh Schultz,Carla Ferreira
Reversible Computation Extending Horizons of Computing Book PDF

Author : Irek Ulidowski,Ivan Lanese,Ulrik Pagh Schultz,Carla Ferreira
Publisher : Springer Nature
Page : 250 pages
File Size : 45,8 Mb
Release : 2020-05-13
Category : Computers
ISBN : 9783030473617

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Reversible Computation: Extending Horizons of Computing by Irek Ulidowski,Ivan Lanese,Ulrik Pagh Schultz,Carla Ferreira Pdf

This open access State-of-the-Art Survey presents the main recent scientific outcomes in the area of reversible computation, focusing on those that have emerged during COST Action IC1405 "Reversible Computation - Extending Horizons of Computing", a European research network that operated from May 2015 to April 2019. Reversible computation is a new paradigm that extends the traditional forwards-only mode of computation with the ability to execute in reverse, so that computation can run backwards as easily and naturally as forwards. It aims to deliver novel computing devices and software, and to enhance existing systems by equipping them with reversibility. There are many potential applications of reversible computation, including languages and software tools for reliable and recovery-oriented distributed systems and revolutionary reversible logic gates and circuits, but they can only be realized and have lasting effect if conceptual and firm theoretical foundations are established first.

Logic Functions and Equations

Bernd Steinbach,Christian Posthoff
Logic Functions and Equations Book PDF

Author : Bernd Steinbach,Christian Posthoff
Publisher : Springer Nature
Page : 818 pages
File Size : 54,7 Mb
Release : 2022-06-06
Category : Technology & Engineering
ISBN : 9783030889456

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Logic Functions and Equations by Bernd Steinbach,Christian Posthoff Pdf

The greatly expanded and updated 3rd edition of this textbook offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science and engineering. The authors’ approach emphasizes a thorough understanding of the fundamental principles as well as numerical and computer-based solution methods. The book provides insight into applications across propositional logic, binary arithmetic, coding, cryptography, complexity, logic design, and artificial intelligence. Updated throughout, some major additions for the 3rd edition include: a new chapter about the concepts contributing to the power of XBOOLE; a new chapter that introduces into the application of the XBOOLE-Monitor XBM 2; many tasks that support the readers in amplifying the learned content at the end of the chapters; solutions of a large subset of these tasks to confirm learning success; challenging tasks that need the power of the XBOOLE software for their solution. The XBOOLE-monitor XBM 2 software is used to solve the exercises; in this way the time-consuming and error-prone manipulation on the bit level is moved to an ordinary PC, more realistic tasks can be solved, and the challenges of thinking about algorithms leads to a higher level of education.

Index Generation Functions

Tsutomu Sasao
Index Generation Functions Book PDF

Author : Tsutomu Sasao
Publisher : Springer Nature
Page : 165 pages
File Size : 48,6 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031799112

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Index Generation Functions by Tsutomu Sasao Pdf

Index generation functions are binary-input integer valued functions. They represent functions of content addressable memories (CAMs). Applications include: IP address tables; terminal controllers; URL lists; computer virus scanning circuits; memory patch circuits; list of English words; code converters; and pattern matching circuits. This book shows memory-based realization of index generation functions. It shows: 1. methods to implement index generation functions by look-up table (LUT) cascades and index generation units (IGU), 2. methods to reduce the number of variables using linear transformations, and 3. methods to estimate the sizes of memories, with many illustrations, tables, examples, exercises, and their solutions.

Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications

Wolfgang Bibel,P.H. Schmitt
Automated Deduction A Basis for Applications Volume I Foundations Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications Book PDF

Author : Wolfgang Bibel,P.H. Schmitt
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 45,5 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9789401704373

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Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications by Wolfgang Bibel,P.H. Schmitt Pdf

We are invited to deal with mathematical activity in a sys tematic way [ ... ] one does expect and look for pleasant surprises in this requirement of a novel combination of psy chology, logic, mathematics and technology. Hao Wang, 1970, quoted from(Wang, 1970). The field of mathematics has been a key application area for automated theorem proving from the start, in fact the very first automatically found the orem was that the sum of two even numbers is even (Davis, 1983). The field of automated deduction has witnessed considerable progress and in the last decade, automated deduction methods have made their way into many areas of research and product development in computer science. For instance, deduction systems are increasingly used in software and hardware verification to ensure the correctness of computer hardware and computer programs with respect to a given specification. Logic programming, while still falling somewhat short of its expectations, is now widely used, deduc tive databases are well-developed and logic-based description and analysis of hard-and software is commonplace today.

Logic Functions and Equations

Christian Posthoff,Bernd Steinbach
Logic Functions and Equations Book PDF

Author : Christian Posthoff,Bernd Steinbach
Publisher : Springer
Page : 511 pages
File Size : 41,5 Mb
Release : 2018-12-31
Category : Computers
ISBN : 9783030024208

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Logic Functions and Equations by Christian Posthoff,Bernd Steinbach Pdf

The expanded and updated 2nd edition of this classic text offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science. The approach emphasizes a thorough understanding of the fundamental principles as well as numerical and computer-based solution methods. Updated throughout, some major additions for the 2nd edition include: - an expanded introductory section on logic equations; - a new chapter on sets, lattices, and classes of logic functions; - a new chapter about SAT-problems; - a new chapter about methods to solve extremely complex problems; and - an expanded section with new decomposition methods utilizing the Boolean Differential Calculus extended to lattices of logic functions. The book provides insight into applications across binary arithmetic, coding, complexity, logic design, programming, computer architecture, and artificial intelligence. Based on the extensive teaching experience of the authors, Logic Functions and Equations is highly recommended for a one- or two-semester course in computer science and related programs. It provides straightforward high-level access to these methods and enables sophisticated applications, elegantly bridging the gap between mathematics and the theoretical foundations of computer science.

Tools and Algorithms for the Construction and Analysis of Systems

Dirk Beyer,Marieke Huisman
Tools and Algorithms for the Construction and Analysis of Systems Book PDF

Author : Dirk Beyer,Marieke Huisman
Publisher : Springer
Page : 439 pages
File Size : 55,9 Mb
Release : 2018-04-11
Category : Computers
ISBN : 9783319899602

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Tools and Algorithms for the Construction and Analysis of Systems by Dirk Beyer,Marieke Huisman Pdf

This book is Open Access under a CC BY licence. The LNCS 10805 and 10806 proceedings set constitutes the proceedings of the 24th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2018, which took place in Thessaloniki, Greece, in April 2018, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2018. The total of 43 full and 11 short papers presented in these volumes was carefully reviewed and selected from 154submissions. The papers are organized in topical sections as follows: Part I: theorem proving; SAT and SMT I; deductive verification; software verification and optimization; model checking; and machine learning. Part II: concurrent and distributed systems; SAT and SMT II; security and reactive systems; static and dynamic program analysis; hybrid and stochastic systems; temporal logic and mu-calculus; 7th Competition on Software Verification – SV-COMP.

Advances in Practical Applications of Agents, Multi-Agent Systems, and Complex Systems Simulation. The PAAMS Collection

Frank Dignum,Philippe Mathieu,Juan Manuel Corchado,Fernando De La Prieta
Advances in Practical Applications of Agents Multi Agent Systems and Complex Systems Simulation The PAAMS Collection Book PDF

Author : Frank Dignum,Philippe Mathieu,Juan Manuel Corchado,Fernando De La Prieta
Publisher : Springer Nature
Page : 529 pages
File Size : 54,7 Mb
Release : 2022-10-12
Category : Computers
ISBN : 9783031181924

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Advances in Practical Applications of Agents, Multi-Agent Systems, and Complex Systems Simulation. The PAAMS Collection by Frank Dignum,Philippe Mathieu,Juan Manuel Corchado,Fernando De La Prieta Pdf

This book constitutes the proceedings of the 20th International Conference on Practical Applications of Agents and Multi-Agent Systems, PAAMS 2022, held in L'Aquila, Italy in July 2022. The 37 full papers in this book were reviewed and selected from 67 submissions. Another 10 demonstrations papers were selected from 11 submissions are presented here as short papers. The papers deal with the application and validation of agent-based models, methods, and technologies in a number of key applications areas, including: advanced models and learning, agent-based programming, decision-making, education and social interactions, formal and theoretic models, health and safety, mobility and the city, swarms and task allocation.

Recent Advances in Constraints

Krzysztof Apt,Francois Fages,Francesca Rossi,Peter Szeredi,Josef Váncza
Recent Advances in Constraints Book PDF

Author : Krzysztof Apt,Francois Fages,Francesca Rossi,Peter Szeredi,Josef Váncza
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 42,8 Mb
Release : 2004-04-07
Category : Computers
ISBN : 9783540218340

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Recent Advances in Constraints by Krzysztof Apt,Francois Fages,Francesca Rossi,Peter Szeredi,Josef Váncza Pdf

Constraint programming is the fruit of several decades of research carried out in mathematical logic, automated deduction, operations research and arti?cial intelligence. The tools and programming languages arising from this research ?eldhaveenjoyedrealsuccessintheindustrialworldastheycontributetosolving hard combinatorial problems in diverse domains such as production planning, communication networks, robotics and bioinformatics. This volume contains the extended and reviewed versions of a selection of papers presented at the Joint ERCIM/CoLogNET International Workshop on Constraint Solving and Constraint Logic Programming (CSCLP2003), which was held from June 30 to July 2, 2003. The venue chosen for the seventh edition of this annual workshop was the Computer and Automation Research Institute of the Hungarian Academy of Sciences (MTA SZTAKI) in Budapest, Hungary. This institute is one of the 20 members of the Working Group on Constraints of the European Research Consortium for Informatics and Mathematics (ERCIM). For many participants this workshop provided the ?rst opportunity to visit their ERCIM partner in Budapest. CoLogNET is the European-funded network of excellence dedicated to s- porting and enhancing cooperation and research on all areas of computational logic, and continues the work done previously by the Compulog Net. In part- ular, the aim of the logic and constraint logic programming area of CoLogNET is to foster and support all research activities related to logic programming and constraint logic programming. The editors would like to take the opportunity and thank all the authors who submitted papers to this volume, as well as the reviewers for their helpful work.

KI 2014: Advances in Artificial Intelligence

Carsten Lutz,Michael Thielscher
KI 2014 Advances in Artificial Intelligence Book PDF

Author : Carsten Lutz,Michael Thielscher
Publisher : Springer
Page : 332 pages
File Size : 46,6 Mb
Release : 2014-09-15
Category : Computers
ISBN : 9783319112060

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KI 2014: Advances in Artificial Intelligence by Carsten Lutz,Michael Thielscher Pdf

This book constitutes the refereed proceedings of the 37th Annual German Conference on Artificial Intelligence, KI 2014, held in Stuttgart, Germany, in September 2014. The 24 revised full papers presented together with 7 short papers were carefully reviewed and selected from 62 submissions. The papers are organized in thematic topics on cognitive modeling, computer vision, constraint satisfaction, search, and optimization, knowledge representation and reasoning, machine learning and data mining, planning and scheduling.

Evolutionary Computation in Combinatorial Optimization

Martin Middendorf,Christian Blum
Evolutionary Computation in Combinatorial Optimization Book PDF

Author : Martin Middendorf,Christian Blum
Publisher : Springer
Page : 284 pages
File Size : 49,7 Mb
Release : 2013-03-12
Category : Computers
ISBN : 9783642371981

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Evolutionary Computation in Combinatorial Optimization by Martin Middendorf,Christian Blum Pdf

This book constitutes the refereed proceedings of the 13th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2013, held in Vienna, Austria, in April 2013, colocated with the Evo* 2013 events EuroGP, EvoBIO, EvoMUSART, and EvoApplications. The 23 revised full papers presented were carefully reviewed and selected from 50 submissions. The papers present the latest research and discuss current developments and applications in metaheuristics - a paradigm to effectively solve difficult combinatorial optimization problems appearing in various industrial, economic, and scientific domains. Prominent examples of metaheuristics are ant colony optimization, evolutionary algorithms, greedy randomized adaptive search procedures, iterated local search, simulated annealing, tabu search, and variable neighborhood search. Applications include scheduling, timetabling, network design, transportation and distribution, vehicle routing, the travelling salesman problem, packing and cutting, satisfiability, and general mixed integer programming.