This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.

This book provides a comprehensive introduction to the essential elements of standard (classical) symbolic logic. Key topics covered include: · The characteristic nature and scope of logic as a discipline · The construction of a series of distinctly named formal languages suitable for formal translation · Semantic models · The construction of decision procedures · The execution of proof-theoretic arrangements like natural deduction and proof-sequent systems The book covers both the semantics and proof theory of the standard sentential (propositional) logic and predicate (first-order) logic. Other topics covered include: parsing trees, extraction of alternative notations (for instance, Polish notation), Fitch-style proof-theory, sequent and ‘tree’ proof systems, comparisons and contrasts with intuitionistic logic, and presentations of predicate logic models. An ancillary chapter on elements of set theory is conveniently placed at the end and includes insights into the Zermelo-Fraenkel systematization of set theory. The philosophy of logic is also explored. Exercises in the text provide instruction on mathematical induction for the construction of formula, tests for the well-formedness of Polish notation, and functional completeness. Symbolic Logic is essential reading for all philosophy students taking intermediate level formal logic courses and will also appeal to diligent first year students of logic. The text is replete with exercises on both the formal machinery and the philosophical aspects of logic.

While mathematical software packages are commercially successful and widely used, the use of formal methods in hardware and software development is also becoming more and more important and necessary. This has made deduction systems indispensable because of the complexity and sheer size of the reasoning tasks involved.

The unvarying essential meanings of around 1,000 symbols and symbolic themes commonly found in the art, literature and thought of all cultures through the ages are clarified.

In this study of Hosea Loren Bliese documents his current research into how the poetics of the Hebrew Bible were enhanced by arranging the counts of words and structures in order to beautify the message. The two words "good" and "covenant" are the only words that come once each in the five parts of the book. They point to a structural theme of the book, that God's covenant is good in contrast to idolatrous relationships that lead to disaster. Hosea's symbolic numbers are derived from both twenty-two of the Hebrew letters, and from twenty-six, the value of the divine name YHWH along with other numbers related to the name. Plays on the word "repent" or "return" have a build-up of repetitions to the end where the plea "Return, Israel, to the LORD your God" is prominent. Each of these words is marked by numeric significance. The book is a discourse analysis of Hosea's whole text, focusing on features of prominence, including symbolic numbers. The study analyzes thirty of the forty-five poems in Hosea with the form of metrical chiasmus pointing to a central peak. Bliese has developed this in previous writings. Abundant chi-square probability calculations support his analysis.

CHARME’99 is the tenth in a series of working conferences devoted to the dev- opment and use of leading-edge formal techniques and tools for the design and veri?cation of hardware and systems. Previous conferences have been held in Darmstadt (1984), Edinburgh (1985), Grenoble (1986), Glasgow (1988), Leuven (1989), Torino (1991), Arles (1993), Frankfurt (1995) and Montreal (1997). This workshop and conference series has been organized in cooperation with IFIP WG 10. 5. It is now the biannual counterpart of FMCAD, which takes place every even-numbered year in the USA. The 1999 event took place in Bad Her- nalb, a resort village located in the Black Forest close to the city of Karlsruhe. The validation of functional and timing behavior is a major bottleneck in current VLSI design systems. A predominantly academic area of study until a few years ago, formal design and veri?cation techniques are now migrating into industrial use. The aim of CHARME’99 is to bring together researchers and users from academia and industry working in this active area of research. Two invited talks illustrate major current trends: the presentation by G ́erard Berry (Ecole des Mines de Paris, Sophia-Antipolis, France) is concerned with the use of synchronous languages in circuit design, and the talk given by Peter Jansen (BMW, Munich, Germany) demonstrates an application of formal methods in an industrial environment. The program also includes 20 regular presentations and 12 short presentations/poster exhibitions that have been selected from the 48 submitted papers.

Design Recommendations for Intelligent Tutoring Systems (ITSs) explores the impact of intelligent tutoring system design on education and training. Specifically, this volume examines “Domain Modeling”. The “Design Recommendations book series examines tools and methods to reduce the time and skill required to develop Intelligent Tutoring Systems with the goal of improving the Generalized Intelligent Framework for Tutoring (GIFT). GIFT is a modular, service-oriented architecture developed to capture simplified authoring techniques, promote reuse and standardization of ITSs along with automated instructional techniques and effectiveness evaluation capabilities for adaptive tutoring tools and methods.

Just over 20 years ago the publication of two books indicated the reemergence of Darwinian ideas on the public stage. E. O. Wilson's Sociobiology: The New Synthesis and Richard Dawkins' The Selfish Gene, spelt out and developed the implications of ideas that had been quietly revolutionizing biology for some time. Most controversial of all, needless to say, was the suggestion that such ideas had implications for human behavior in general and social behavior in particular. Nowhere was the outcry greater than in the field of anthropology, for anthropologists saw themselves as the witnesses and defenders of human di versity and plasticity in the face of what they regarded as a biological determin ism supporting a right-wing racist and sexist political agenda. Indeed, how could a discipline inheriting the social and cultural determinisms of Boas, Whorf, and Durkheim do anything else? Life for those who ventured to chal lenge this orthodoxy was not always easy. In the mid-l990s such views are still widely held and these two strands of anthropology have tended to go their own way, happily not talking to one another. Nevertheless, in the intervening years Darwinian ideas have gradually begun to encroach on the cultural landscape in variety of ways, and topics that had not been linked together since the mid-19th century have once again come to be seen as connected. Modern genetics turns out to be of great sig nificance in understanding the history of humanity.

Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.