The Formal Semantics of Programming Languages

The Formal Semantics of Programming Languages PDF Author: Glynn Winskel
Publisher: MIT Press
ISBN: 9780262731034
Category : Computers
Languages : en
Pages : 388

Get Book Here

Book Description
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.

The Formal Semantics of Programming Languages

The Formal Semantics of Programming Languages PDF Author: Glynn Winskel
Publisher: MIT Press
ISBN: 9780262731034
Category : Computers
Languages : en
Pages : 388

Get Book Here

Book Description
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.

A Little Book on Form

A Little Book on Form PDF Author: Robert Hass
Publisher: Harper Collins
ISBN: 0062332449
Category : Literary Criticism
Languages : en
Pages : 251

Get Book Here

Book Description
An acute and deeply insightful book of essays exploring poetic form and the role of instinct and imagination within form—from former poet laureate, Pulitzer Prize and National Book Award winning author Robert Hass. Robert Hass—former poet laureate, winner of the National Book Award, and recipient of the Pulitzer Prize—illuminates the formal impulses that underlie great poetry in this sophisticated, graceful, and accessible volume of essays drawn from a series of lectures he delivered at the renowned Iowa Writers’ Workshop. A Little Book on Form brilliantly synthesizes Hass’s formidable gifts as both a poet and a critic and reflects his profound education in the art of poetry. Starting with the exploration of a single line as the basic gesture of a poem, and moving into an examination of the essential expressive gestures that exist inside forms, Hass goes beyond approaching form as a set of traditional rules that precede composition, and instead offers penetrating insight into the true openness and instinctiveness of formal creation. A Little Book on Form is a rousing reexamination of our longest lasting mode of literature from one of our greatest living poets.

Introduction to Formal Languages

Introduction to Formal Languages PDF Author: György E. Révész
Publisher: Courier Corporation
ISBN: 0486169375
Category : Mathematics
Languages : en
Pages : 208

Get Book Here

Book Description
Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant mathematical proofs. 1983 edition.

Formal Knot Theory

Formal Knot Theory PDF Author: Louis H. Kauffman
Publisher: Courier Corporation
ISBN: 048645052X
Category : Mathematics
Languages : en
Pages : 274

Get Book Here

Book Description
This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author, Louis H. Kauffman, is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. Kauffman draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. Featured topics include state, trails, and the clock theorem; state polynomials and the duality conjecture; knots and links; axiomatic link calculations; spanning surfaces; the genus of alternative links; and ribbon knots and the Arf invariant. Key concepts are related in easy-to-remember terms, and numerous helpful diagrams appear throughout the text. The author has provided a new supplement, entitled "Remarks on Formal Knot Theory," as well as his article, "New Invariants in the Theory of Knots," first published in The American Mathematical Monthly, March 1988.

The Formal Center in Literature

The Formal Center in Literature PDF Author: Richard Kopley
Publisher: Camden House (NY)
ISBN: 1640140328
Category : Literary Criticism
Languages : en
Pages : 204

Get Book Here

Book Description
An investigation of the phenomenon of the framed formal center in literature of the last 180 years, illuminating both the works and correspondences among works of different genres, periods, and nations.

Formal Axiology and Its Critics

Formal Axiology and Its Critics PDF Author: Rem Blanchard Edwards
Publisher: Rodopi
ISBN: 9789051839104
Category : Philosophy
Languages : en
Pages : 250

Get Book Here

Book Description
Preliminary Material /Editor: Rem B. Edwards --Editorial Foreword /Rem B. Edwards --Acknowledgments /Editor: Rem B. Edwards --One Introduction /Rem B. Edwards --Two Axiology as a Science: Reply to Hector Neri Castañeda, 1961 /Robert S. Hartman --Three Some Spurious Proofs for the Pure Ego /Rem B. Edwards --Four FOrmal Axiology and Its Critics /Robert S. Hartman --Five TEn Unanswered Questions /Rem B. Edwards --Six A Reply to "Ten Unanswered Questions" /Frank G. Forrest --Seven A Quantum Wave Model of Value Theory /Mark A. Moore --About the Contributors /Editor: Rem B. Edwards --Index /Editor: Rem B. Edwards --VIBS /Editor: Rem B. Edwards.

Formal Revolution in the Work of Baudelaire and Flaubert

Formal Revolution in the Work of Baudelaire and Flaubert PDF Author: Kathryn Oliver Mills
Publisher: Lexington Books
ISBN: 1611493951
Category : Literary Criticism
Languages : en
Pages : 201

Get Book Here

Book Description
In Formal Revolution in the Work of Baudelaire and Flaubert, Kathryn Oliver Mills argues that despite the enduring celebrity of Baudelaire and Flaubert, their significance to modern art has been miscast and misunderstood. To date, literary criticism has paid insufficient attention to these authors' literary form and their socio-cultural context. In addition, critical literature has not always adequately integrated individual works to each author’s broader oeuvre: on the one hand critics do not often maintain rigorous distinctions among texts when discussing Baudelaire and Flaubert, and on the other hand scholars of Baudelaire and Flaubert have not consistently considered the relationship of individual texts to either writer’s corpus. Furthermore, critical focus has been on the modernity of Les Fleurs du mal, Madame Bovary, and L'Education Sentimentale. Addressing these lacunae in scholarship, Mills puts forth the argument that Baudelaire's collection of prose poems, Le Spleen de Paris, and Flaubert's short, poetic tales, Trois contes, best embody the modern aesthetic that Baudelaire develops in Le Peintre de la vie moderne and that Flaubert elaborates in his correspondence. Formal Revolution places these relatively less well-known but last published works in relationship with the artistic goals of their authors, showing that Baudelaire and Flaubert were both acutely aware of the need to launch a new form of literature in order to literally “come to terms with” the dramatic changes transforming the nineteenth-century into the Modern Age. More specifically, Formal Revolution demonstrates that for Baudelaire and Flaubert the formal project of fusing prose with poetry—as poetic prose in the case of Flaubert, as poetry in prose in the case of Baudelaire—was crucial to their mission of “painting modern life.” This work concludes that experimentation with literary form represents these two seminal writers’ major legacy to modernity; suggests that the twentieth-century might have gone too far down that road; and speculates about the future direction of literature. The modernity of Baudelaire and Flaubert, still relevant today but often taken for granted, needs to be reexamined in light of the cultural, formal, and contextual considerations that inform Formal Revolution in the Work of Baudelaire and Flaubert.

An Introduction to Formal Logic

An Introduction to Formal Logic PDF Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370

Get Book Here

Book Description
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Linking the Formal and Informal Economy

Linking the Formal and Informal Economy PDF Author: Basudeb Guha-Khasnobis
Publisher: OUP Oxford
ISBN: 0191525480
Category : Business & Economics
Languages : en
Pages : 316

Get Book Here

Book Description
The concepts of formal and informal remain central to the theory and practice of development more than half a century after they were introduced into the debate. They help structure the way that statistical services collect data on the economies of developing countries, the development of theoretical and empirical analysis, and, most important, the formulation and implementation of policy. This volume brings together a significant new collection of studies on formality and informality in developing countries. The volume is multidisciplinary in nature, with contributions from anthropologists, economists, sociologists, and political scientists. It contains contributions from among the very best analysts in development studies. Between them the chapters argue for moving beyond the formal-informal dichotomy. Useful as it has proven to be, a more nuanced approach is needed in light of conceptual and empirical advances, and in light of the policy failures brought about by a characterization of the 'informal' as 'disorganized'. The wealth of empirical information in these studies, and in the literature more widely, can be used to develop guiding principles for intervention that are based on ground level reality.

Topics in the Formal Methodology of Empirical Sciences

Topics in the Formal Methodology of Empirical Sciences PDF Author: Ryszard Wójcicki
Publisher: Springer Science & Business Media
ISBN: 940098944X
Category : Science
Languages : en
Pages : 289

Get Book Here

Book Description
11 original. Modifications which I introduced are radical and often far going. In my opinion the Polish text had two main drawbacks. It was overloaded with informal considerations and at the same time formal concepts included in some parts of the book were presented in a too complicated way. Of course one of the motives to revise it was also the fact that much time has passed since I finished writing the Polish version and obviously certain decisions and ideas contained in the first edition seem not quite relevant now. So it is not only the desire to make the exposition clearer but also the reasons of substantial nature which motivated writing a revised version. I do not think it desirable to bother the reader with a detailed discussion of all changes to which the Polish version was subjected and that is why I will confine myself to pointing out only the most significant ones. Explanations concerning logical and set-theoretical notions applied in the book have been shortened as much as possible, in the Polish version one whole chapter was devoted to the discussion of them.