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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.
Tsutomu Sasao - Kyushu Institute of Technology, Japan The material
covered in this book is quite unique especially for p- ple who are
reading English, since such material is quite hard to ?nd in the
U.S. literature. German and Russian people have independently
developed their theories, but such work is not well known in the
U.S. societies. On the other hand, the theories developed in the
U.S. are not conveyed to the other places. Thus, the same theory is
re-invented or re-discovered in various places. For example, the
switching theory was developed independently in the U.S., Europe,
and Japan, almost at the same time [4, 18, 19]. Thus, the same
notions are represented by di?- ent terminologies. For example, the
Shegalkin polynomial is often called complement-free ring-sum,
Reed-Muller expression [10], or Positive -
larityReed-Mullerexpression [19].Anyway,itisquitedesirablethatsuch
a unique book like this is written in English, and many people can
read it without any di?culties. The authors have developed a logic
system called XBOOLE.Itp- forms logical operations on the given
functions. With XBOOLE, the readers can solve the problems given in
the book. Many examples and complete solutions to the problems are
shown, so the readers can study at home. I believe that the book
containing many exercises and their solutions [9] is quite useful
not only for the students, but also the p- fessors.
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.
Tsutomu Sasao - Kyushu Institute of Technology, Japan The material
covered in this book is quite unique especially for p- ple who are
reading English, since such material is quite hard to ?nd in the
U.S. literature. German and Russian people have independently
developed their theories, but such work is not well known in the
U.S. societies. On the other hand, the theories developed in the
U.S. are not conveyed to the other places. Thus, the same theory is
re-invented or re-discovered in various places. For example, the
switching theory was developed independently in the U.S., Europe,
and Japan, almost at the same time [4, 18, 19]. Thus, the same
notions are represented by di?- ent terminologies. For example, the
Shegalkin polynomial is often called complement-free ring-sum,
Reed-Muller expression [10], or Positive -
larityReed-Mullerexpression [19].Anyway,itisquitedesirablethatsuch
a unique book like this is written in English, and many people can
read it without any di?culties. The authors have developed a logic
system called XBOOLE.Itp- forms logical operations on the given
functions. With XBOOLE, the readers can solve the problems given in
the book. Many examples and complete solutions to the problems are
shown, so the readers can study at home. I believe that the book
containing many exercises and their solutions [9] is quite useful
not only for the students, but also the p- fessors.
Die Theoretische Informatik - die mathematische Untersuchung von
Modellen der Berechenbarkeit - ist ein Gebiet, das seine Wurzeln
zum gro eren Teil in mathematischen Grundlagenuntersuchungen der
30er Jahre hat (CHURCH, GtiDEL, KLEENE, POST und TURING) und das
von der nach wie vor anhaltenden technischen Entwicklung in starkem
Ma e beeinflu t wird. Wie kein anderes Gebiet hat es die Aufgabe,
grundlegende Kennt- nisse bereitzustellen, die es auf einem
sicheren wissenschaftli- chen Fundament ermoglichen, Heterogenitat
und Diffusitat vieler Probleme und Erscheinungen in Grenzen zu
halten und eine schnel- le Anpassung an neue Entwicklungen
vorzunehmen. Genau diese fun- damentale Kraft der Theoretischen
Informatik wird an vielen Stellen unterschatzt, und deshalb
erscheint sie haufig als ein Gebiet, das man hal t gepriift wird),
absolvieren mu (weil es aber zur praktischen Arbeit und zur
beruflichen Praxis scheinbar kaum Beziehungen hat. Diesem Vorurteil
entgegenzutreten und die Liicke zwischen mathematischen Grundlagen
und praktischer Infor- matik ein wenig zu schlie en, ist ein
Anliegen dieses Buches.
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