Download or read book Induction Recursion and Programming written by Mitchell Wand and published by North-Holland. This book was released on 1980 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Recursive Programming written by Manuel Rubio-Sanchez and published by CRC Press. This book was released on 2017-10-05 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursion is one of the most fundamental concepts in computer science and a key programming technique that allows computations to be carried out repeatedly. Despite the importance of recursion for algorithm design, most programming books do not cover the topic in detail, despite the fact that numerous computer programming professors and researchers in the field of computer science education agree that recursion is difficult for novice students. Introduction to Recursive Programming provides a detailed and comprehensive introduction to recursion. This text will serve as a useful guide for anyone who wants to learn how to think and program recursively, by analyzing a wide variety of computational problems of diverse difficulty. It contains specific chapters on the most common types of recursion (linear, tail, and multiple), as well as on algorithm design paradigms in which recursion is prevalent (divide and conquer, and backtracking). Therefore, it can be used in introductory programming courses, and in more advanced classes on algorithm design. The book also covers lower-level topics related to iteration and program execution, and includes a rich chapter on the theoretical analysis of the computational cost of recursive programs, offering readers the possibility to learn some basic mathematics along the way. It also incorporates several elements aimed at helping students master the material. First, it contains a larger collection of simple problems in order to provide a solid foundation of the core concepts, before diving into more complex material. In addition, one of the book's main assets is the use of a step-by-step methodology, together with specially designed diagrams, for guiding and illustrating the process of developing recursive algorithms. Furthermore, the book covers combinatorial problems and mutual recursion. These topics can broaden students' understanding of recursion by forcing them to apply the learned concepts differently, or in a more sophisticated manner. The code examples have been written in Python 3, but should be straightforward to understand for students with experience in other programming languages. Finally, worked out solutions to over 120 end-of-chapter exercises are available for instructors.
Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2013-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Download or read book Inductive Synthesis of Functional Programs written by Ute Schmid and published by Springer. This book was released on 2003-09-09 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its promise to support human programmers in developing correct and efficient program code and in reasoning about programs, automatic program synthesis has attracted the attention of researchers and professionals since the 1970s. This book focusses on inductive program synthesis, and especially on the induction of recursive functions; it is organized into three parts on planning, inductive program synthesis, and analogical problem solving and learning. Besides methodological issues in inductive program synthesis, emphasis is placed on its applications to control rule learning for planning. Furthermore, relations to problem solving and learning in cognitive psychology are discussed.
Download or read book Thinking Recursively written by Eric Roberts and published by John Wiley & Sons. This book was released on 1986-01-17 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The process of solving large problems by breaking them down intosmaller, more simple problems that have identical forms. ThinkingRecursively: A small text to solve large problems. Concentrating onthe practical value of recursion. this text, the first of its kind,is essential to computer science students' education. In thistext, students will learn the concept and programming applicationsof recursive thinking. This will ultimately prepare students foradvanced topics in computer science such as compiler construction,formal language theory, and the mathematical foundations ofcomputer science. Key Features: * Concentration on the practical value of recursion. * Eleven chapters emphasizing recursion as a unifiedconcept. * Extensive discussion of the mathematical concepts which helpthe students to develop an appropriate conceptual model. * Large number of imaginative examples with solutions. * Large sets of exercises.
Download or read book Approaches and Applications of Inductive Programming written by Ute Schmid and published by Springer. This book was released on 2010-03-25 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised papers of the Third International Workshop on approaches and Applications of Inductive Programming, AAIP 2009, held in Edinburgh, UK, in September 2009. The 7 full papers included in this volume were carefully reviewed and selected. The book also contains two invited papers.
Download or read book Computability Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 2010-12-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. Frequent historical information presented throughout More extensive motivation for each of the topics than other texts currently available Connects with topics not included in other textbooks, such as complexity theory
Download or read book Advanced Functional Programming written by Varmo Vene and published by Springer Science & Business Media. This book was released on 2005-09-15 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial book presents nine carefully revised lectures given at the 5th International School on Functional Programming, AFP 2004, in Tartu, Estonia in August 2004. The book presents the following nine, carefully cross-reviewed chapters, written by leading authorities in the field: Typing Haskell with an Attribute Grammar, Programming with Arrows, Epigram: Practical Programming with Dependent Types, Combining Datatypes and Effects, GEC: a toolkit for Generic Rapid Prototyping, A Functional Shell that Operates on Typed and Compiled Applications, Declarative Debugging with Buddha, Server-Side Web Programming in WASH, and Refactoring Functional Programs.
Download or read book The Science of Functional Programming draft version written by Sergei Winitzki and published by Lulu.com. This book was released on with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Programming with Mathematica written by Paul Wellin and published by Cambridge University Press. This book was released on 2013-01-10 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems.
Download or read book Co induction and Co recursion in Higher order Logic written by Lawrence C. Paulson and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory is demonstrated using lists and lazy lists as examples. The emphasis is on using co-recursion to define lazy list functions, and on using co-induction to reason about them."
Download or read book Trends in Functional Programming written by Stephen Chang and published by Springer Nature. This book was released on 2023-08-27 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 24th International Symposium on Trends in Functional Programming, TFP 2023, held in Boston, MA, USA, during January 12–15, 2023. The 6 full papers presented in this volume were carefully reviewed and selected from 14 submissions. They span a wide variety of topics including DSL design and implementation, dependent type systems, instruction set architecture, data structures, and logic programming.
Download or read book The Logic Programming Paradigm written by Krzysztof R. Apt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exciting new text reveals both the evolution of this programming paradigm since its inception and the impressively broad scope of current research in the field. The contributors to this book are all leading world experts in Logic Programming, and they deal with both theoretical and practical issues. They address such diverse topics as: computational molecular biology, machine learning, mobile computing, multi-agent systems, planning, numerical computing and dynamical systems, database systems, an alternative to the "formulas as types" approach, program semantics and analysis, and natural language processing. XXXXXXX Neuer Text Logic Programming was founded 25 years ago. This exciting book reveals both the evolution of this programming paradigm and its impressively broad scope of current research. The contributions by leading computer scientists deal with both theoretical and practical issues. They address diverse topics such as: computational molecular biology, machine learning, mobile computing, multi-agent systems, numerical computing and dynamical systems, database systems, program semantics, natural language processing, and promising future directions.
Download or read book Learn You a Haskell for Great Good written by Miran Lipovaca and published by No Starch Press. This book was released on 2011-04-15 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: It's all in the name: Learn You a Haskell for Great Good! is a hilarious, illustrated guide to this complex functional language. Packed with the author's original artwork, pop culture references, and most importantly, useful example code, this book teaches functional fundamentals in a way you never thought possible. You'll start with the kid stuff: basic syntax, recursion, types and type classes. Then once you've got the basics down, the real black belt master-class begins: you'll learn to use applicative functors, monads, zippers, and all the other mythical Haskell constructs you've only read about in storybooks. As you work your way through the author's imaginative (and occasionally insane) examples, you'll learn to: –Laugh in the face of side effects as you wield purely functional programming techniques –Use the magic of Haskell's "laziness" to play with infinite sets of data –Organize your programs by creating your own types, type classes, and modules –Use Haskell's elegant input/output system to share the genius of your programs with the outside world Short of eating the author's brain, you will not find a better way to learn this powerful language than reading Learn You a Haskell for Great Good!
Download or read book Recursion Via Pascal written by Jeffrey Soden Rohl and published by Cambridge University Press. This book was released on 1984-07-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recursion in programming, the technique by which the solution to a problem is expressed partly in terms of the solution to a simpler version of the same problem. Ultimately the solution to the simplest version must be given explicitly. In functional programming, recursion has received its full due since it is quite often the only repetitive construct. However, the programming language used here is Pascal and the examples have been chosen accordingly. It makes an interesting contrast with the use of recursion in functional and logic programming. The early chapters consider simple linear recursion using examples such as finding the highest common factor of a pair of numbers, and processing linked lists. Subsequent chapters move up through binary recursion, with examples which include the Towers of Hanoi problem and symbolic differentiation, to general recursion. The book contains well over 100 examples.
Download or read book Inductive Synthesis of Functional Programs written by Ute Schmid and published by Springer Science & Business Media. This book was released on 2003-08-21 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its promise to support human programmers in developing correct and efficient program code and in reasoning about programs, automatic program synthesis has attracted the attention of researchers and professionals since the 1970s. This book focusses on inductive program synthesis, and especially on the induction of recursive functions; it is organized into three parts on planning, inductive program synthesis, and analogical problem solving and learning. Besides methodological issues in inductive program synthesis, emphasis is placed on its applications to control rule learning for planning. Furthermore, relations to problem solving and learning in cognitive psychology are discussed.
Download or read book A Programming Approach to Computability written by A.J. Kfoury and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability theory is at the heart of theoretical computer science. Yet, ironically, many of its basic results were discovered by mathematical logicians prior to the development of the first stored-program computer. As a result, many texts on computability theory strike today's computer science students as far removed from their concerns. To remedy this, we base our approach to computability on the language of while-programs, a lean subset of PASCAL, and postpone consideration of such classic models as Turing machines, string-rewriting systems, and p. -recursive functions till the final chapter. Moreover, we balance the presentation of un solvability results such as the unsolvability of the Halting Problem with a presentation of the positive results of modern programming methodology, including the use of proof rules, and the denotational semantics of programs. Computer science seeks to provide a scientific basis for the study of information processing, the solution of problems by algorithms, and the design and programming of computers. The last 40 years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the develop ment of mathematical techniques to allow the rigorous specification of program, process, and machine.
