Introduction To Lambda Trees
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| Author | : Ian Chiswell |
| Publisher | : World Scientific |
| Total Pages | : 327 |
| Release | : 2001-02-22 |
| Genre | : Mathematics |
| ISBN | : 9814492582 |
The theory of Λ-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of Λ-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R-trees. In that work they were led to define the idea of a Λ-tree, where Λ is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups Λ, including some interesting connections with model theory.Introduction to Λ-Trees will prove to be useful for mathematicians and research students in algebra and topology.
| Author | : Ian Chiswell |
| Publisher | : World Scientific |
| Total Pages | : 327 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9810243863 |
The theory of ?-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of ?-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmller space for a finitely generated group using R-trees. In that work they were led to define the idea of a ?-tree, where ? is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups ?, including some interesting connections with model theory.Introduction to ?-Trees will prove to be useful for mathematicians and research students in algebra and topology.
| Author | : Greg Michaelson |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2013-04-10 |
| Genre | : Mathematics |
| ISBN | : 0486280292 |
Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.
| Author | : J. Roger Hindley |
| Publisher | : Cambridge University Press |
| Total Pages | : 358 |
| Release | : 2008-07-24 |
| Genre | : Computers |
| ISBN | : 9780521898850 |
Combinatory logic and lambda-calculus, originally devised in the 1920's, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this long-awaited new version is thoroughly revised and offers a fully up-to-date account of the subject, with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.
| Author | : David Kueker |
| Publisher | : CRC Press |
| Total Pages | : |
| Release | : 2020-12-22 |
| Genre | : Mathematics |
| ISBN | : 1000111512 |
Mathematical Logic and Theoretical Computer Science covers various topics ranging from recursion theory to Zariski topoi. Leading international authorities discuss selected topics in a number of areas, including denotational semanitcs, reccuriosn theoretic aspects fo computer science, model theory and algebra, Automath and automated reasoning, stability theory, topoi and mathematics, and topoi and logic. The most up-to-date review available in its field, Mathematical Logic and Theoretical Computer Science will be of interest to mathematical logicians, computer scientists, algebraists, algebraic geometers, differential geometers, differential topologists, and graduate students in mathematics and computer science.
| Author | : Peter Selinger |
| Publisher | : |
| Total Pages | : 108 |
| Release | : 2018-10-04 |
| Genre | : Science |
| ISBN | : 9780359158850 |
This is a set of lecture notes that developed out of courses on the lambda calculus that the author taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, polymorphism, type inference, denotational semantics, complete partial orders, and the language PCF.
| Author | : R.P. Nederpelt |
| Publisher | : Elsevier |
| Total Pages | : 1045 |
| Release | : 1994-10-20 |
| Genre | : Mathematics |
| ISBN | : 008088718X |
The present volume contains a considered choice of the existing literature on Automath. Many of the papers included in the book have been published in journals or conference proceedings, but a number have only circulated as research reports or have remained unpublished. The aim of the editors is to present a representative selection of existing articles and reports and of material contained in dissertations, giving a compact and more or less complete overview of the work that has been done in the Automath research field, from the beginning to the present day. Six different areas have been distinguished, which correspond to Parts A to F of the book. These areas range from general ideas and motivation, to detailed syntactical investigations.
| Author | : Hridesh Rajan |
| Publisher | : MIT Press |
| Total Pages | : 305 |
| Release | : 2022-05-03 |
| Genre | : Computers |
| ISBN | : 0262045451 |
A textbook that uses a hands-on approach to teach principles of programming languages, with Java as the implementation language. This introductory textbook uses a hands-on approach to teach the principles of programming languages. Using Java as the implementation language, Rajan covers a range of emerging topics, including concurrency, Big Data, and event-driven programming. Students will learn to design, implement, analyze, and understand both domain-specific and general-purpose programming languages. Develops basic concepts in languages, including means of computation, means of combination, and means of abstraction. Examines imperative features such as references, concurrency features such as fork, and reactive features such as event handling. Covers language features that express differing perspectives of thinking about computation, including those of logic programming and flow-based programming. Presumes Java programming experience and understanding of object-oriented classes, inheritance, polymorphism, and static classes. Each chapter corresponds with a working implementation of a small programming language allowing students to follow along.
| Author | : Rūsiņš Mārtiņš Freivalds |
| Publisher | : Springer |
| Total Pages | : 637 |
| Release | : 2016-01-14 |
| Genre | : Computers |
| ISBN | : 3662491923 |
This book constitutes the proceedings of the 42nd International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2016, held in Harrachov, Czech Republic, in January 2016. The 43 full papers presented in this volume were carefully reviewed and selected from 116 submissions. They are organized in topical sections named: foundations of computer science; software engineering: methods, tools, applications; and data, information, and knowledge engineering. The volume also contains 7 invited talks in full paper length.
| Author | : Marco Russo |
| Publisher | : Pearson Education |
| Total Pages | : 908 |
| Release | : 2010-11-23 |
| Genre | : Computers |
| ISBN | : 0735658838 |
Dig into LINQ -- and transform the way you work with data. With LINQ, you can query data from a variety of sources -- including databases, objects, and XML files -- directly from Microsoft Visual Basic or C#. Guided by data-access experts who've worked in depth with LINQ and the Microsoft development teams, you'll learn how .NET Framework 4 implements LINQ, and how to exploit it. Clear examples show you how to deliver your own data-access solutions faster and with leaner code. Discover how to: Use LINQ to query databases, object collections, arrays, XML, Microsoft Excel files, and other sources Apply LINQ best practices to build data-enabled .NET applications and services Manipulate data in a relational database with ADO.NET Entity Framework or LINQ to SQL Read, write, and manage XML content more efficiently with LINQ to XML Extend LINQ to support additional data sources by creating custom operators and providers Examine other implementations, such as LINQ to SharePoint Use LINQ within the data, business, and service layers of a distributed application Get code samples on the Web
