Verified Functional Programming In Agda

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Verified Functional Programming In Agda
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Author : Aaron Stump
language : en
Publisher: Morgan & Claypool
Release Date : 2016-02-01
Verified Functional Programming In Agda written by Aaron Stump and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-01 with Computers categories.
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.
Verified Functional Programming In Agda
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Author : Aaron Stump
language : en
Publisher: Morgan & Claypool
Release Date : 2016-02-01
Verified Functional Programming In Agda written by Aaron Stump and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-01 with Computers categories.
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.
Programming Languages And Systems
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Author : Oleg Kiselyov
language : en
Publisher: Springer Nature
Release Date : 2024-10-27
Programming Languages And Systems written by Oleg Kiselyov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-27 with Computers categories.
This book constitutes the proceedings of the 22nd Asian Symposium on Programming Languages and Systems, APLAS 2024, held in Kyoto, Japan, during October 22-24, 2024. The 18 full papers presented here were carefully reviewed and selected from 37 submissions. These papers have been categorized under the following topical sections: Type theory and Semantic Frameworks; Probabilistic and Declarative Programming; Quantum Computation; Logical Relations; Verification.
Functional And Logic Programming
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Author : Jeremy Gibbons
language : en
Publisher: Springer Nature
Release Date : 2024-05-16
Functional And Logic Programming written by Jeremy Gibbons and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-16 with Computers categories.
This book constitutes the proceedings of the 17th International Symposium on Functional and Logic Programming, FLOPS 2024, held in Kumamoto, Japan, in May 2024. The 15 papers presented in this volume were carefully reviewed and selected from 28 submissions. The scope includes all aspects of the design, semantics, theory, applications, implementations, and teaching of declarative programming. FLOPS speci cally aims to promote cross-fertilization between theory and practice and among di erent styles of declarative programming.
Formal Methods Foundations And Applications
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Author : Tiago Massoni
language : en
Publisher: Springer
Release Date : 2018-11-19
Formal Methods Foundations And Applications written by Tiago Massoni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-19 with Computers categories.
This book constitutes the refereed proceedings of the 21st Brazilian Symposium on Formal Methods, SBMF 2018, which took place in Salvador, Brazil, in November 2018. The 16 regular papers presented in this book were carefully reviewed and selected from 30 submissions. The papers are organized in topical sections such as: techniques and methodologies; specification and modeling languages; theoretical foundations; verification and validation; experience reports regarding teaching formal methods; and applications.Chapter “TeSSLa: Temporal Stream-Based Specification Language” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Program Proofs
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Author : K. Rustan M. Leino
language : en
Publisher: MIT Press
Release Date : 2023-03-07
Program Proofs written by K. Rustan M. Leino and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-07 with Computers categories.
This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and the verification-aware programming language Dafny. Program Proofs shows students what it means to write specifications for programs, what it means for programs to satisfy those specifications, and how to write proofs that connect specifications and programs. Writing with clarity and humor, K. Rustan M. Leino first provides an overview of the basic theory behind reasoning about programs. He then gradually builds up to complex concepts and applications, until students are facing real programs using objects, data structures, and non-trivial recursion. To emphasize the practical nature of program proofs, all material and examples use the verification-aware programming language Dafny, but no previous knowledge of Dafny is assumed. Written in a highly readable and student-friendly style Builds up to complex concepts in an incremental manner Comprehensively covers how to write proofs and how to specify and verify both functional programs and imperative programs Uses real program text from a real programming language, not psuedo code Features engaging illustrations and hands-on learning exercises
Practical Aspects Of Declarative Languages
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Author : Yuliya Lierler
language : en
Publisher: Springer
Release Date : 2017-01-06
Practical Aspects Of Declarative Languages written by Yuliya Lierler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Computers categories.
This book constitutes the proceedings of the 19th International Symposium on Practical Aspects of Declarative Languages, PADL 2017, held in Paris, France, in January 2017 and collocated with the ACM SIGPLAN Symposium on Principles of Programming Languages. The 14 papers presented in this volume were carefully reviewed and selected from 27 submissions. They deal with novel applications and implementation techniques for all forms of declarative languages, including but not limited to logic, constraint, and functional languages.
Theories Of Programming
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Author : Cliff B. Jones
language : en
Publisher: Morgan & Claypool
Release Date : 2021-09-26
Theories Of Programming written by Cliff B. Jones and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-26 with Computers categories.
Sir Tony Hoare has had an enormous influence on computer science, from the Quicksort algorithm to the science of software development, concurrency and program verification. His contributions have been widely recognised: He was awarded the ACM’s Turing Award in 1980, the Kyoto Prize from the Inamori Foundation in 2000, and was knighted for “services to education and computer science” by Queen Elizabeth II of England in 2000. This book presents the essence of his various works—the quest for effective abstractions—both in his own words as well as chapters written by leading experts in the field, including many of his research collaborators. In addition, this volume contains biographical material, his Turing award lecture, the transcript of an interview and some of his seminal papers. Hoare’s foundational paper “An Axiomatic Basis for Computer Programming”, presented his approach, commonly known as Hoare Logic, for proving the correctness of programs by using logical assertions. Hoare Logic and subsequent developments have formed the basis of a wide variety of software verification efforts. Hoare was instrumental in proposing the Verified Software Initiative, a cooperative international project directed at the scientific challenges of large-scale software verification, encompassing theories, tools and experiments. Tony Hoare’s contributions to the theory and practice of concurrent software systems are equally impressive. The process algebra called Communicating Sequential Processes (CSP) has been one of the fundamental paradigms, both as a mathematical theory to reason about concurrent computation as well as the basis for the programming language occam. CSP served as a framework for exploring several ideas in denotational semantics such as powerdomains, as well as notions of abstraction and refinement. It is the basis for a series of industrial-strength tools which have been employed in a wide range of applications. This book also presents Hoare’s work in the last few decades. These works include a rigorous approach to specifications in software engineering practice, including procedural and data abstractions, data refinement, and a modular theory of designs. More recently, he has worked with collaborators to develop Unifying Theories of Programming (UTP). Their goal is to identify the common algebraic theories that lie at the core of sequential, concurrent, reactive and cyber-physical computations.
Declarative Logic Programming
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Author : Michael Kifer
language : en
Publisher: Morgan & Claypool
Release Date : 2018-09-19
Declarative Logic Programming written by Michael Kifer and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Computers categories.
The idea of this book grew out of a symposium that was held at Stony Brook in September 2012 in celebration of David S.Warren's fundamental contributions to Computer Science and the area of Logic Programming in particular. Logic Programming (LP) is at the nexus of Knowledge Representation, Artificial Intelligence, Mathematical Logic, Databases, and Programming Languages. It is fascinating and intellectually stimulating due to the fundamental interplay among theory, systems, and applications brought about by logic. Logic programs are more declarative in the sense that they strive to be logical specifications of "what" to do rather than "how" to do it, and thus they are high-level and easier to understand and maintain. Yet, without being given an actual algorithm, LP systems implement the logical specifications automatically. Several books cover the basics of LP but focus mostly on the Prolog language with its incomplete control strategy and non-logical features. At the same time, there is generally a lack of accessible yet comprehensive collections of articles covering the key aspects in declarative LP. These aspects include, among others, well-founded vs. stable model semantics for negation, constraints, object-oriented LP, updates, probabilistic LP, and evaluation methods, including top-down vs. bottom-up, and tabling. For systems, the situation is even less satisfactory, lacking accessible literature that can help train the new crop of developers, practitioners, and researchers. There are a few guides onWarren’s Abstract Machine (WAM), which underlies most implementations of Prolog, but very little exists on what is needed for constructing a state-of-the-art declarative LP inference engine. Contrast this with the literature on, say, Compilers, where one can first study a book on the general principles and algorithms and then dive in the particulars of a specific compiler. Such resources greatly facilitate the ability to start making meaningful contributions quickly. There is also a dearth of articles about systems that support truly declarative languages, especially those that tie into first-order logic, mathematical programming, and constraint solving. LP helps solve challenging problems in a wide range of application areas, but in-depth analysis of their connection with LP language abstractions and LP implementation methods is lacking. Also, rare are surveys of challenging application areas of LP, such as Bioinformatics, Natural Language Processing, Verification, and Planning. The goal of this book is to help fill in the previously mentioned void in the LP literature. It offers a number of overviews on key aspects of LP that are suitable for researchers and practitioners as well as graduate students. The following chapters in theory, systems, and applications of LP are included.
Reactive Internet Programming
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Author : Franck Barbier
language : en
Publisher: Morgan & Claypool
Release Date : 2016-04-01
Reactive Internet Programming written by Franck Barbier and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with Computers categories.
Is Internet software so different from “ordinary” software? This book practically answers this question through the presentation of a software design method based on the State Chart XML W3C standard along with Java. Web enterprise, Internet-of-Things, and Android applications, in particular, are seamlessly specified and implemented from “executable models.” Internet software puts forward the idea of event-driven or reactive programming, as pointed out in Bonér et al.’s “Reactive Manifesto” (http://www.reactivemanifesto.org). It tells us that reactiveness is a must. However, beyond concepts, software engineers require effective means with which to put reactive programming into practice. This book’s purpose is to outline and explain such means. The lack of professional examples in the literature that illustrate how reactive software should be shaped can be quite frustrating. Therefore, this book helps to fill in that gap by providing in-depth professional case studies that contain comprehensive details and meaningful alternatives. Furthermore, these case studies can be downloaded for further investigation. Internet software requires higher adaptation, at run time in particular. After reading Reactive Internet Programming, the reader therefore will be ready to enter the forthcoming Internet era.