Download or read book First Order Programming Theories written by Tamas Gergely and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a purely classical first-order logical approach to the field of study in theoretical computer science sometimes referred to as the theory of programs, or programming theory. This field essentially attempts to provide a precise mathematical basis for the common activities involved in reasoning about computer programs and programming languages, and it also attempts to find practical applications in the areas of program specification, verification and programming language design. Many different approaches with different mathematical frameworks have been proposed as a basis for programming theory. They differ in the mathe matical machinery they use to define and investigate programs and program properties and they also differ in the concepts they deal with to understand the programming paradigm. Different approaches use different tools and viewpoints to characterize the data environment of programs. Most of the approaches are related to mathe matical logic and they provide their own logic. These logics, however, are very eclectic since they use special entities to reflect a special world of programs, and also, they are usually incomparable with each other. This Babel's mess irritated us and we decided to peel off the eclectic com ponents and try to answer all the questions by using classical first-order logic.

Download or read book First order Programming Theories written by Tamás Gergely and published by Springer Verlag. This book was released on 1991 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a purely classical first-order logical approach to the theory of programming. The authors, leading members of the famous 'Hungarian school', use this approach to give a unified and systematic presentation of the theory. This approach provides formal methods and tools for reasoning about computer programs and programming languages by allowing the syntactic and semantic characterization of programs, the description of program properties, and ways to check whether a given program satisfies certain properties. The basic methods are logical extension, inductive definition and their combination, all of which admit an appropriate first-order representation of data and time. The framework proposed by the authors allows the investigation and development of different programming theories and logics from a unified point of view. Dynamic and temporal logics, for example, are investigated and compared with respect to their expressive and proof-theoretic powers. The book should appeal to both theoretical researchers and students. For researchers in computer science the book provides a coherent presentation of a new approach which permits the solution of various problems in programming theory in a unified manner by the use of first-order logical tools. The book may serve as a basis for graduate courses in programming theory and logic as it covers all important questions arising between the theory of computation and formal descriptive languages and presents an appropriate derivation system.

Download or read book Programming in Martin L f s Type Theory written by Bengt Nordström and published by Oxford University Press, USA. This book was released on 1990 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.

Download or read book First order Unification in Equational Theories and Its Application to Logic Programming written by Jia-Huai You and published by . This book was released on 1985 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theories of Programming and Formal Methods written by Zhiming Liu and published by Springer. This book was released on 2013-07-24 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, dedicated to He Jifeng on the occasion of his 70th birthday in September 2013, includes 24 refereed papers by leading researchers, current and former colleagues, who congratulated at a celebratory symposium held in Shanghai, China, in the course of the 10th International Colloquium on Theoretical Aspects of Computing, ICTAC 2013. The papers cover a broad spectrum of subjects, from foundational and theoretical topics to programs and systems issues and to applications, comprising formal methods, software and systems modeling, semantics, laws of programming, specification and verification, as well as logics. He Jifeng is known for his seminal work in the theories of programming and formal methods for software engineering. He is particularly associated with Unifying Theories of Programming (UTP) , the theory of data refinement and the laws of programming, and the rCOS formal method for object and component system construction. His book on UTP with Tony Hoare has been widely read and followed by a large number of researchers, and it has been used in many postgraduate courses. He was a senior researcher at Oxford during 1984-1998, and then a senior research fellow at the United Nations University International Institute for Software Technology (UNU-IIST) in Macau during 1998-2005. He has been a professor and currently the Dean of the Institute of Software Engineering at East China Normal University, Shanghai, China. In 2005, He Jifeng was elected as an academician to the Chinese Academy of Sciences. He also received an honorary doctorate from the University of York. He won a number of prestigious science and technology awards, including a 2nd prize of Natural Science Award from the State Council of China, a 1st prize of Natural Science Award from the Ministry of Education of China, a 1st prize of Technology Innovation from the Ministry of Electronic Industry, and a number awards from Shanghai government.

Download or read book Basic Mathematical Programming Theory written by Giorgio Giorgi and published by Springer Nature. This book was released on 2023-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.

Download or read book Bayesian Networks for Managing Learner Models in Adaptive Hypermedia Systems Emerging Research and Opportunities written by Tadlaoui, Mouenis Anouar and published by IGI Global. This book was released on 2018-11-16 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers use e-learning systems to develop course notes and web-based activities to communicate with learners on one side and monitor and classify their progress on the other. Learners use it for learning, communication, and collaboration. Adaptive e-learning systems often employ learner models, and the behavior of an adaptive system varies depending on the data from the learner model and the learner's profile. Without knowing anything about the learner who uses the system, a system would behave in exactly the same way for all learners. Bayesian Networks for Managing Learner Models in Adaptive Hypermedia Systems: Emerging Research and Opportunities is a collection of research on the use of Bayesian networks and methods as a probabilistic formalism for the management of the learner model in adaptive hypermedia. It specifically discusses comparative studies, transformation rules, and case diagrams that support all phases of the learner model and the use of Bayesian networks and multi-entity Bayesian networks to manage dynamic aspects of this model. While highlighting topics such as developing the learner model, learning management systems, and modeling techniques, this book is ideally designed for instructional designers, course administrators, educators, researchers, and professionals.

Download or read book Genetic Programming Theory and Practice IX written by Rick Riolo and published by Springer Science & Business Media. This book was released on 2011-11-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: These contributions, written by the foremost international researchers and practitioners of Genetic Programming (GP), explore the synergy between theoretical and empirical results on real-world problems, producing a comprehensive view of the state of the art in GP. Topics include: modularity and scalability; evolvability; human-competitive results; the need for important high-impact GP-solvable problems;; the risks of search stagnation and of cutting off paths to solutions; the need for novelty; empowering GP search with expert knowledge; In addition, GP symbolic regression is thoroughly discussed, addressing such topics as guaranteed reproducibility of SR; validating SR results, measuring and controlling genotypic complexity; controlling phenotypic complexity; identifying, monitoring, and avoiding over-fitting; finding a comprehensive collection of SR benchmarks, comparing SR to machine learning. This text is for all GP explorers. Readers will discover large-scale, real-world applications of GP to a variety of problem domains via in-depth presentations of the latest and most significant results.

Download or read book Intelligent Computer Mathematics written by Kevin Buzzard and published by Springer Nature. This book was released on 2022-09-16 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Intelligent Computer Mathematics, CICM 2022, held in Tbilisi, Georgia, in September 2022. The 17 full papers, 1 project/ survey paper, 4 short papers, and 2 abstracts of invited papers presented were carefully reviewed and selected from a total of 37 submissions. The papers focus on theoretical and practical solutions for these challenges including computation, deduction, narration, and data management.

Download or read book Theories of Programming and Formal Methods written by Jonathan P. Bowen and published by Springer Nature. This book was released on 2023-09-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, dedicated to Jifeng He on the occasion of his 80th birthday, includes refereed papers by leading researchers, many of them current and former colleagues, presented at a dedicated celebration in the Shanghai Science Hall in September 2023. Jifeng was an important researcher on the European ESPRIT ProCoS project and the Working Group on Provably Correct Systems, subsequently he collaborated with Tony Hoare on Unifying Theories of Programming. Jifeng returned to China in 1998, first to the United Nations University in Macau and then to the East China Normal University in Shanghai. He has since founded an Artificial Intelligence research institute that focuses on the application of technology in large-scale industrial software systems. His scientific contributions have been recognized through his election to membership of the Chinese Academy of Sciences. The first paper in the volume provides an overview of Jifeng’s research contributions, especially in the area of formal methods, and the following two papers detail developments in UTP and rCOS (refinement calculus of object systems). In the next two sections of the book, the editors included papers by colleagues and coauthors of Jifeng while he was at the University of Oxford and engaged with the European ProCoS project. The section that follows includes papers authored by colleagues from his later research in China and Europe. The final section includes a paper related to Jifeng’s recent roadmap for UTP.

Download or read book Theories of Programming written by Cliff B. Jones and published by Morgan & Claypool. This book was released on 2021-09-26 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Type Theory and Functional Programming written by Simon Thompson and published by Addison Wesley Publishing Company. This book was released on 1991 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.

Download or read book A First order Theory of Types and Polymorphism in Logic Programming written by Jwo-Nan James Wu and published by . This book was released on 1992 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Inductive Logic Programming written by Celine Rouveirol and published by Springer. This book was released on 2003-06-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Inductive Logic Programming, ILP 2001, held in Strasbourg, France in September 2001. The 21 revised full papers presented were carefully reviewed and selected from 37 submissions. Among the topics addressed are data mining issues for multi-relational databases, supervised learning, inductive inference, Bayesian reasoning, learning refinement operators, neural network learning, constraint satisfaction, genetic algorithms, statistical machine learning, transductive inference, etc.

Download or read book Potential Function Methods for Approximately Solving Linear Programming Problems Theory and Practice written by Daniel Bienstock and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.

Download or read book Set Theory for Computing written by Domenico Cantone and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. This book is of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.

Download or read book Language and Automata Theory and Applications written by Adrian-Horia Dediu and published by Springer. This book was released on 2013-03-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Language and Automata Theory and Applications, LATA 2013, held in Bilbao, Spain in April 2013. The 45 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 97 initial submissions. The volume features contributions from both classical theory fields and application areas (bioinformatics, systems biology, language technology, artificial intelligence, etc.). Among the topics covered are algebraic language theory; algorithms for semi-structured data mining; algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata, concurrency and Petri nets; automatic structures; cellular automata; combinatorics on words; computability; computational complexity; computational linguistics; data and image compression; decidability questions on words and languages; descriptional complexity; DNA and other models of bio-inspired computing; document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammars (Chomsky hierarchy, contextual, multidimensional, unification, categorial, etc.); grammars and automata architectures; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; language-based cryptography; language-theoretic foundations of artificial intelligence and artificial life; parallel and regulated rewriting; parsing; pattern recognition; patterns and codes; power series; quantum, chemical and optical computing; semantics; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; symbolic neural networks; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.