The Calculi of Lambda Conversion. (AM-6)

Author: Alonzo Church

Publisher: Princeton University Press

ISBN: 1400881935

Category: Mathematics

Page: 77

View: 4692

The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.

Rewriting and Typed Lambda Calculi

Joint International Conferences, RTA and TLCA 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Vienna, Austria, July 14-17, 2014, Proceedings

Author: Gilles Dowek

Publisher: Springer

ISBN: 3319089188

Category: Mathematics

Page: 491

View: 9676

This book constitutes the refereed proceedings of the Joint 25th International Conference on Rewriting Techniques and Applications, RTA 2014, and 12th International Conference on Typed Lambda-Calculi and Applications, TLCA 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 28 revised full papers and 3 short papers presented were carefully reviewed and selected from 87 submissions. The papers provide research results on all aspects of rewriting and typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts. They address a wide variety of topics such as algorithmic aspects, implementation, logic, types, semantics, and programming.

Transitions and Trees

An Introduction to Structural Operational Semantics

Author: Hans H Ttel

Publisher: Cambridge University Press

ISBN: 0521197465

Category: Computers

Page: 272

View: 9690

A rigorous, self-contained introduction to the theory of operational semantics of programming languages and its use.

Semantics Engineering with PLT Redex

Author: Matthias Felleisen,Robert Bruce Findler,Matthew Flatt

Publisher: MIT Press

ISBN: 026225817X

Category: Computers

Page: 520

View: 9037

This text is the first comprehensive presentation of reduction semantics in one volume; it also introduces the first reliable and easy-to-use tool set for such forms of semantics. Software engineers have long known that automatic tool support is critical for rapid prototyping and modeling, and this book is addressed to the working semantics engineer (graduate student or professional language designer). The book comes with a prototyping tool suite to develop, explore, test, debug, and publish semantic models of programming languages. With PLT Redex, semanticists can formulate models as grammars and reduction models on their computers with the ease of paper and pencil. The text first presents a framework for the formulation of language models, focusing on equational calculi and abstract machines, then introduces PLT Redex, a suite of software tools for expressing these models as PLT Redex models. Finally, experts describe a range of models formulated in Redex. PLT Redex comes with the PLT Scheme implementation, available free at Readers can download the software and experiment with Redex as they work their way through the book.


Finite and Infinite Machines

Author: Marvin Lee Minsky

Publisher: Prentice Hall


Category: Machine theory

Page: 317

View: 1018

Introduction to Combinators and (lambda) Calculus

Author: J. R. Hindley,J. P. Seldin

Publisher: CUP Archive

ISBN: 9780521268967

Category: Mathematics

Page: 360

View: 3659

Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'. They have now developed into linguistic tools, useful in several branches of logic and computer science, especially in the study of programming languages. These notes form a simple introduction to the two topics, suitable for a reader who has no previous knowledge of combinatory logic, but has taken an undergraduate course in predicate calculus and recursive functions. The key ideas and basic results are presented, as well as a number of more specialised topics, and man), exercises are included to provide manipulative practice.

The Functional Interpretation of Logical Deduction

Author: Ruy J. G. B. de Queiroz,Anjolina G. de Oliveira,Dov M. Gabbay

Publisher: World Scientific

ISBN: 9814360953

Category: Computers

Page: 266

View: 2856

This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an ‘enriched’ system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing ‘labels’ is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Elementary Differential Topology

Author: James R. Munkres

Publisher: Princeton University Press

ISBN: 9780691090931

Category: Mathematics

Page: 112

View: 8098

The description for this book, Elementary Differential Topology. (AM-54), Volume 54, will be forthcoming.

Literature and the Scottish Reformation

Author: David George Mullan

Publisher: Routledge

ISBN: 1351921975

Category: Literary Criticism

Page: 278

View: 6709

Throughout the twentieth century Scottish literary studies was dominated by a critical consensus that critiqued contemporary anti-Catholic by advancing a re-reading of the Reformation. This consensus understood that Scotland's rich medieval culture had been replaced with an anti-aesthetic tyranny of life and letters. As a result, Scottish literature has consistently been defined in opposition to the Calvinism to which it frequently returns. Yet, as the essays in this collection show, such a consensus appears increasingly untenable in light both of recent research and a more detailed survey of Scottish literature. This collection launches a full-scale reconsideration of the series of relationships between literature and reformation in early modern Scotland. Previous scholarship in this area has tended to dismiss the literary value of the writing of the period - largely as a reaction to its regular theological interests. Instead the essays in this volume reinforce recent work that challenges the received scholarly consensus by taking these interests seriously. This volume argues for the importance of this religiously orientated writing, through the adoption of a series of interdisciplinary approaches. Arranged chronologically, the collection concentrates on major authors and texts while engaging with a number of contemporary critical issues and so highlighting, for example, writing by women in the period. It addresses the concerns of historians and theologians who have routinely accepted the established reading of this period of literary history in Scotland and offers a radically new interpretation of the complex relationships between literature and religious reform in early modern Scotland.

On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)

Author: Sophie Morel

Publisher: Princeton University Press

ISBN: 9781400835393

Category: Mathematics

Page: 232

View: 5263

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula. The first problem, that of applying the fixed point formula to the intersection cohomology, is geometric in nature and is the object of the first chapter, which builds on Morel's previous work. She then turns to the group-theoretical problem of comparing these results with the trace formula, when G is a unitary group over Q. Applications are then given. In particular, the Galois representation on a G(Af)-isotypical component of the cohomology is identified at almost all places, modulo a non-explicit multiplicity. Morel also gives some results on base change from unitary groups to general linear groups.

The Journal of Symbolic Logic

Author: N.A

Publisher: N.A


Category: Logic, Symbolic and mathematical

Page: N.A

View: 649

Includes lists of members.

Verified Functional Programming in Agda

Author: Aaron Stump

Publisher: Morgan & Claypool

ISBN: 1970001267

Category: Computers

Page: 283

View: 9155

Agda is an advanced programming language based on Type Theory. Agda's type system is expressive enough to support full functional verification of programs, in two styles. In external verification, we write pure functional programs and then write proofs of properties about them. The proofs are separate external artifacts, typically using structural induction. In internal verification, we specify properties of programs through rich types for the programs themselves. This often necessitates including proofs inside code, to show the type checker that the specified properties hold. The power to prove properties of programs in these two styles is a profound addition to the practice of programming, giving programmers the power to guarantee the absence of bugs, and thus improve the quality of software more than previously possible. Verified Functional Programming in Agda is the first book to provide a systematic exposition of external and internal verification in Agda, suitable for undergraduate students of Computer Science. No familiarity with functional programming or computer-checked proofs is presupposed. The book begins with an introduction to functional programming through familiar examples like booleans, natural numbers, and lists, and techniques for external verification. Internal verification is considered through the examples of vectors, binary search trees, and Braun trees. More advanced material on type-level computation, explicit reasoning about termination, and normalization by evaluation is also included. The book also includes a medium-sized case study on Huffman encoding and decoding.

Twenty Five Years of Constructive Type Theory

Author: Giovanni Sambin,Jan M. Smith

Publisher: Clarendon Press

ISBN: 0191606936

Category: Mathematics

Page: 292

View: 9195

Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.

Programming Languages and Systems

9th European Symposium on Programming, ESOP 2000 Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2000 Berlin, Germany, March 25- April 2, 2000 Proceedings

Author: Gert Smolka

Publisher: Springer


Category: Computer programming

Page: 429

View: 9030

This book constitutes the refereed proceedings of the 9th European Symposium on Programming, ESOP 2000, held as part of ETAPS 2000 in Berlin, Germany in March/April 2000. The 27 revised full papers presented together with one invited paper were carefully reviewed and selected from 84 submissions. Among the topics addressed are language translation, coordination languages, typed languages, logic programs, Java, C-programming, type systems, language continuations, programming calculi, programming theory, mobile processes, interprocedural program analysis, flow analysis, etc.

Paradigms of Artificial Intelligence Programming

Case Studies in Common Lisp

Author: Peter Norvig

Publisher: Morgan Kaufmann

ISBN: 0080571158

Category: Computers

Page: 946

View: 7528

Paradigms of AI Programming is the first text to teach advanced Common Lisp techniques in the context of building major AI systems. By reconstructing authentic, complex AI programs using state-of-the-art Common Lisp, the book teaches students and professionals how to build and debug robust practical programs, while demonstrating superior programming style and important AI concepts. The author strongly emphasizes the practical performance issues involved in writing real working programs of significant size. Chapters on troubleshooting and efficiency are included, along with a discussion of the fundamentals of object-oriented programming and a description of the main CLOS functions. This volume is an excellent text for a course on AI programming, a useful supplement for general AI courses and an indispensable reference for the professional programmer.

Theory of Computing and Systems

ISTCS '92, Israel Symposium, Haifa, Israel, May 27-28, 1992

Author: Danny Dolev,Zvi Galil,Michael Rodeh

Publisher: Springer Verlag


Category: Computers

Page: 220

View: 1687

"ISTCS '92, the Israel Symposium on the Theory of Computing and Systems, cameabout spontaneously as a result of informal interaction between a group of people who viewed the conference as an appropriate expression of Israeli strength in theoretical aspects of computing and systems. The enthusiasm that the symposium created resulted in the submission of a large number of extremely high quality papers, which led in turn to strict acceptance criteria. This volume contains nineteen selected papers representing the cream of Israeli talent in the field, on a variety of active and interesting topics in the theory of computing and systems."--PUBLISHER'S WEBSITE.