The Lambda Calculus

Author: H.P. Barendregt
Publisher: Elsevier
ISBN: 9780080933757
Format: PDF, Kindle
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The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

Pillars of Computer Science

Author: Arnon Avron
Publisher: Springer Science & Business Media
ISBN: 3540781269
Format: PDF, ePub
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The Person 1 Boris Abramovich Trakhtenbrot (????? ????????? ???????????) – his Hebrew given name is Boaz ( ) – is universally admired as a founding - ther and long-standing pillar of the discipline of computer science. He is the ?eld's preeminent distinguished researcher and a most illustrious trailblazer and disseminator. He is unmatched in combining farsighted vision, unfaltering c- mitment, masterful command of the ?eld, technical virtuosity, æsthetic expr- sion, eloquent clarity, and creative vigor with humility and devotion to students and colleagues. For over half a century, Trakhtenbrot has been making seminal contributions to virtually all of the central aspects of theoretical computer science, inaugur- ing numerous new areas of investigation. He has displayed an almost prophetic ability to foresee directions that are destined to take center stage, a decade or morebeforeanyoneelsetakesnotice.Hehasneverbeentempted toslowdownor limithisresearchtoareasofendeavorinwhichhehasalreadyearnedrecognition and honor. Rather, he continues to probe the limits and position himself at the vanguard of a rapidly developing ?eld, while remaining, as always, unassuming and open-minded.

Foundations of Mathematics

Author: Erwin Engeler
Publisher: Springer Science & Business Media
ISBN: 3642780520
Format: PDF, Mobi
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This book appeared about ten years ago in Gennan. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathemati cal stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a La'JEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomat ics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint". Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foun dation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm.

Concise Encyclopedia of Semantics

Author: Keith Allan
Publisher: Elsevier
ISBN: 9780080959696
Format: PDF, Docs
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Concise Encyclopedia of Semantics is a comprehensive new reference work aiming to systematically describe all aspects of the study of meaning in language. It synthesizes in one volume the latest scholarly positions on the construction, interpretation, clarification, obscurity, illustration, amplification, simplification, negotiation, contradiction, contraction and paraphrasing of meaning, and the various concepts, analyses, methodologies and technologies that underpin their study. It examines not only semantics but the impact of semantic study on related fields such as morphology, syntax, and typologically oriented studies such as ‘grammatical semantics’, where semantics has made a considerable contribution to our understanding of verbal categories like tense or aspect, nominal categories like case or possession, clausal categories like causatives, comparatives, or conditionals, and discourse phenomena like reference and anaphora. COSE also examines lexical semantics and its relation to syntax, pragmatics, and cognitive linguistics; and the study of how ‘logical semantics’ develops and thrives, often in interaction with computational linguistics. As a derivative volume from Encyclopedia of Language and Linguistics, Second Edition, it comprises contributions from 150 of the foremost scholars of semantics in their various specializations and draws on 20+ years of development in the parent work in a compact and affordable format. Principally intended for tertiary level inquiry and research, this will be invaluable as a reference work for undergraduate and postgraduate students as well as academics inquiring into the study of meaning and meaning relations within languages. As semantics is a centrally important and inherently cross-cutting area within linguistics it will therefore be relevant not just for semantics specialists, but for most linguistic audiences. The first encyclopedia ever published in this fascinating and diverse field Combines the talents of the world’s leading semantics specialists The latest trends in the field authoritatively reviewed and interpreted in context of related disciplines Drawn from the richest, most authoritative, comprehensive and internationally acclaimed reference resource in the linguistics area Compact and affordable single volume reference format

Mathematical Foundations of Computer Science 2009

Author: Rastislav Královic
Publisher: Springer Science & Business Media
ISBN: 3642038158
Format: PDF, Docs
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This book constitutes the refereed proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, MFCS 2009, held in Novy Smokovec, High Tatras, Slovakia, in August 2009. The 56 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 148 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, including algorithmic game theory, algorithmic tearning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, theoretical issues in artificial intelligence.

The Lambda Calculus

Author: Henk Barendregt
Publisher:
ISBN: 9781848900660
Format: PDF, Mobi
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The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of expressions, called lambda terms, together with ways how to rewrite and identify these. In the parts conversion, reduction, theories, and models the view is respectively 'algebraic', computational, with more ('coinductive') identifications, and finally set-theoretic. The lambda terms are built up from variables, using application and abstraction. Applying a term F to M has as intention that F is a function, M its argument, and FM the result of the application. This is only the intention: to actually obtain the result one has to rewrite the expression FM according to the reduction rules. Abstraction provides a way to create functions according to the effect when applying them. The power of the theory comes from the fact that computations, both terminating and infinite, can be expressed by lambda terms at a 'comfortable' level of abstraction.

Mathematical foundations of programming semantics

Author: Stephen D. Brookes
Publisher: Springer Verlag
ISBN:
Format: PDF
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In translating the second edition of his book on high voltage measurement techniques from the original German, published also in English, Russian and Chinese, the author has added a number of revisions and late developments inthe fields of high-voltage technology, electric energy systems and pulsepower. A survey of measurement techniques for nonsinusoidal, rapidly changing high voltages and high currents seemed particularly desireable, since power pulses are employed more frequently outside the normal electronics. Special attention has been given to high-voltage probes, high-current shunts, fast electrical and optical diagnostic principles, transient recorders, electromagnetic compatibility in high-voltage laboratories etc.

Language in Action

Author: Johan van Benthem
Publisher: MIT Press
ISBN: 9780262720243
Format: PDF
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This volume demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature.