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| Author | : V. Stoltenberg-Hansen |
| Publisher | : Cambridge University Press |
| Total Pages | : 366 |
| Release | : 1994-09-22 |
| Genre | : Computers |
| ISBN | : 9780521383448 |
Introductory textbook/general reference in domain theory for professionals in computer science and logic.
| Author | : Guo-Qiang Zhang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 204 |
| Release | : 2013-06-29 |
| Genre | : Philosophy |
| ISBN | : 9401712913 |
Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation. The theory of domains has proved to be a useful tool for programming languages and other areas of computer science, and for applications in mathematics. Included in this proceedings volume are selected papers of original research presented at the 2nd International Symposium on Domain Theory in Chengdu, China. With authors from France, Germany, Great Britain, Ireland, Mexico, and China, the papers cover the latest research in these sub-areas: domains and computation, topology and convergence, domains, lattices, and continuity, and representations of domains as event and logical structures. Researchers and students in theoretical computer science should find this a valuable source of reference. The survey papers at the beginning should be of particular interest to those who wish to gain an understanding of some general ideas and techniques in this area.
| Author | : Roberto M. Amadio |
| Publisher | : Cambridge University Press |
| Total Pages | : 504 |
| Release | : 1998-07-02 |
| Genre | : Computers |
| ISBN | : 0521622778 |
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
| Author | : Lawrence C. Paulson |
| Publisher | : |
| Total Pages | : 302 |
| Release | : 1987 |
| Genre | : Computers |
| ISBN | : 9780521346320 |
This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.
| Author | : Sergei Artemov |
| Publisher | : Cambridge University Press |
| Total Pages | : 271 |
| Release | : 2019-05-02 |
| Genre | : Mathematics |
| ISBN | : 1108424910 |
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
| Author | : Alexander George |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 218 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 0195079299 |
The essays in this volume investigate the conceptual foundations of mathematics illuminating the powers of the mind. Contributors include Alexander George, Michael Dummett, George Boolos, W.W. Tait, Wilfried Sieg, Daniel Isaacson, Charles Parsons, and Michael Hallett.
| Author | : Leonard Bolc |
| Publisher | : Routledge |
| Total Pages | : 250 |
| Release | : 2019-10-24 |
| Genre | : Philosophy |
| ISBN | : 1000507319 |
Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.
| Author | : P.B. Levy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 381 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 9400709544 |
Call-by-push-value is a programming language paradigm that, surprisingly, breaks down the call-by-value and call-by-name paradigms into simple primitives. This monograph, written for graduate students and researchers, exposes the call-by-push-value structure underlying a remarkable range of semantics, including operational semantics, domains, possible worlds, continuations and games.
| Author | : Alexander Raschke |
| Publisher | : Springer Nature |
| Total Pages | : 367 |
| Release | : 2021-06-04 |
| Genre | : Computers |
| ISBN | : 3030760200 |
This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.
| Author | : Robert S. Boyer |
| Publisher | : Academic Press |
| Total Pages | : 414 |
| Release | : 2014-06-25 |
| Genre | : Mathematics |
| ISBN | : 1483277887 |
ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.
