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Thursday, July 23, 2020 | History

5 edition of Domain Theory, Logic and Computation (Semantics Structures in Computation) found in the catalog.

Domain Theory, Logic and Computation (Semantics Structures in Computation)

  • 29 Want to read
  • 40 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Computer Programming,
  • Mathematical logic,
  • Mathematical theory of computation,
  • Science/Mathematics,
  • Logic,
  • Algebra - General,
  • Technology,
  • Philosophy,
  • Programming languages (Electronic computers),
  • Programming languages (Electro,
  • Programming Languages - General,
  • Philosophy / Logic,
  • Semantics,
  • Electronics - Circuits - Logic,
  • Congresses

  • Edition Notes

    ContributionsGuo-Qiang Zhang (Editor), J. Lawson (Editor), Ying Ming Liu (Editor), M.K. Luo (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages208
    ID Numbers
    Open LibraryOL8370938M
    ISBN 101402018320
    ISBN 109781402018329

    The Journal of Logic and Computation aims to promote the growth of logic and computing including among others the following areas of interest: Logical Systems such as classical and non-classical. Theory, Logic and Computation: Proceedings of the 2nd International Symposium on Domain Theory, Sichuan, China, October (Semantics Structures in Computation) (Volume 3): Domains are mathematical structures for information and approximation they combine order theoretic logical and.

    Domain Theory for Concurrency Mikkel Nygaard Glynn Winskel BRICS∗ Computer Laboratory University of Aarhus University of Cambridge Abstract A simple domain theory for concurrency is presented. Based on a categorical model of linear logic and associated comonads, it highlights the role of linear-ity in concurrent computation. This also highlights the fact that domain theory seems to be founded precisely for computation (if I recall correctly, Dana Scott's article that founded DT is titled something like "A Mathematical Theory of Computation"), whereas type theory comes from logic, going back to Russell, Ramsey then much later Heyting and Martin-Lof. This also.

    Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky Continuous Domain Theory in Logical Form. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an. Domain theory, a subject that arose as a response to natural concerns in the semantics of computation, studies ordered sets which possess an unusual amount of mathematical structure. This book explores its connection with quantum information .


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Domain Theory, Logic and Computation (Semantics Structures in Computation) Download PDF EPUB FB2

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.

Domain theory is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called uently, domain theory can be considered as a branch of order field has major applications in computer science, where it is used to specify denotational semantics, especially for functional programming languages.

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. Abramsky, S., Domain theory in logical form, Annals of Pure and Applied Logic 51 () 1– • Domain theory, the mathematical theory of computation introduced by Scott as a foundation for detonational semantics • The theory of concurrency and systems behaviour developed by Milner, Hennesy based on operational semantics.

• Logics of Cited by: Pris: kr. Häftad, Skickas inom vardagar. Köp Domain Theory, Logic and Computation av Guo-Qiang Zhang, J Lawson, Ying Ming Liu, M-K Luo på Home Domain Theory by Title Books Handbook of logic in computer science (vol.

3): semantic structures Domain theory. chapter. Domain theory. Domain theory. Theory of computation. Logic. Comments. Login options. Check if you have access through your login credentials or your institution to get full access on this article. Logic and Computation by Lawrence C.

Paulson,available at Book Depository with free delivery worldwide. •Domain Theory, the mathematical theory of computation introduced by Scott as a foundation for denotational Domain Theory.

•The theory of concurrency and systems behaviour developed by Milner, Hennessy et al. based on operational semantics.

•Logics of programs. The key to our synthesis is the mathematical theory of Stone duality, which. 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.

This book is concerned with the theory of computability and complexity over the real numbers. This theory was initiated by Turing, Grzegorczyk, Lacombe, Banach and Mazur and has seen rapid growth in recent years.

Computability and complexity theory are two central areas of research in theoretical computer science. Until recently, most work in these areas concentrated on problems over. Get this from a library. Domain theory, logic, and computation: proceedings of the 2nd International Symposium on Domain Theory, Sichuan, China, October [Guo-Qiang Zhang;].

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Domain Theory, the mathematical theory of computation introduced by Scott as a foundation for denotational semantics. The theory of concurrency and systems behaviour developed by Milner, Hennessy based on operational semantics.

Logics of programs. Stone duality provides a junction between semantics (spaces of. The mathematical framework of Stone duality is used to synthesize a number of hitherto separate developments in Theoretical Computer Science: Domain Theory, the mathematical theory of computation introduced by Scott as a foundation for denotational semantics.

- The theory of concurrency and systems behaviour developed by Milner, Hennessy et al. based on operational. Domains for Computation in Mathematics, Physics and Exact Real Arithmetic - Volume 3 Issue 4 - Abbas Edalat. Abstract.

We will present a Logic of Computable Functions based on the idea of Synthetic Domain Theory such that all functions are automatically continuous.

Its implementation in the Lego proof-checker — the logic is formalized on top of the Extended Calculus of Constructions — has two main advantages.

First, one gets machine checked proofs verifying that the chosen logical. A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

Despite the model's simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm's logic can be constructed. The machine operates on an infinite memory tape divided into discrete "cells". They introduce the Scott topology and compactness.

Chapter 9 finally deals with a category of locales within which one can study the topology of domain theory. Most of the facts that will interest the reader studying the semantics of programming languages are given in chapters 10 which account for 45 pages of the page book.

A theory is trivial if all formulas of its language are theorems. In a trivial theory “everything” (expressed in its language) can be proved. If the underlying logic of a theory is classical logic, or even any of the standard logical systems such as intuitionistic logic, inconsistency entails triviality, and conversely.

Domain Theory: An Introduction Robert Cartwright Rebecca Parsons Rice University This monograph is an unauthorized revision of “Lectures On A Mathematical Theory of Computation” by Dana Scott [3]. Scott’s monograph uses a formulation of domains called neighborhood systems in which finite elements are selected subsets of a master.

Book review Steven Vickers, Topology via Logic (Cambridge University Press) 0 5 hardback, 0 2 paperback Background and scope of the book. Domain theory (see [7] for a recent discussion) is a mathematical theory of computation, put forward by Scott [5] in the late s and.

Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide.

Cambridge LCF is a computer program for reasoning about computation. It combines methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of statements in a programming language.

This book consists of two parts. Part I outlines the mathematical preliminaries: elementary logic and domain.developments in Theoretical Computer Science and Logic: •Domain Theory, the mathematical theory of computation introduced by Scott as a foundation for denotational semantics.

•The theory of concurrency and systems behaviour developed by Milner, Hennessy et al. based on operational semantics. •Logics of programs. •Locale Theory.