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Wednesday, July 22, 2020 | History

6 edition of First-order dynamic logic found in the catalog.

First-order dynamic logic

David Harel

First-order dynamic logic

by David Harel

  • 169 Want to read
  • 39 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Computer programming.,
  • Logic, Symbolic and mathematical.,
  • Recursion theory.

  • Edition Notes

    StatementDavid Harel.
    SeriesLecture notes in computer science ;, 68
    Classifications
    LC ClassificationsQA76.6 .H34 1979
    The Physical Object
    Pagination133 p. :
    Number of Pages133
    ID Numbers
    Open LibraryOL4409739M
    ISBN 100387092374
    LC Control Number79013118

    Propositional and First Order Logic Propositional Logic First Order Logic Basic Concepts Propositional logic is the simplest logic illustrates basic ideas usingpropositions P 1, Snow is whyte P 2, oTday it is raining P 3, This automated reasoning course is boring P i is an atom or atomic formula Each P i can be either true or false but never bothFile Size: KB. First-order logic—also known as predicate logic, quantificational logic, and first-order predicate calculus—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer -order logic uses quantified variables over non-logical objects and allows the use of sentences that contain variables, so that rather than propositions such as Socrates is a man.

    In this paper we investigate minimal semantics for First Order Dynamic Logic formulas. The goal is to be able to write action specifications in a declarative pre/post-condition style. The declarative specification of actions comes with some well known problems: the frame problem, the qualification problem and the ramification : Jan Broersen, Roelf J. Wieringa. An interesting difference between temporal logic on the one hand, and dynamic logic and Hoare logic on the other, is that the former is what in the literature is called an endogenous logic, while the latter are so-called exogenous logics. A logic is exogenous if programs are explicit in the logical language, while for endogenous logics this is Cited by:

    For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus.   This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and /5(28).


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First-order dynamic logic by David Harel Download PDF EPUB FB2

First-Order Dynamic Logic. Editors; David Harel; Book. Citations; Downloads; Part of the Lecture Notes in Computer Science book series (LNCS, volume 68) Chapters Table of contents (2 chapters) About About this book; Table of contents.

Search within book. Front Matter. PDF. Part I:. This book provides the first comprehensive introduction to Dynamic Logic.

Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of.

Additional Physical Format: Online version: Harel, David, First-order dynamic logic. Berlin ; New York: Springer-Verlag, (OCoLC) ISBN: OCLC Number: Description: Seiten: figur ; 25 cm: Contents: I: Binary-relation semantics First-Order Dynamic Logic.

Abstract. No abstract available. Cited By. O'Hearn P () Incorrectness logic, Proceedings of the ACM on Programming Languages, 4:POPL, (), Online publication date: 1-Jan This is the best treatment of tableaux I have come across, nicely covering both propositional logic and first-order logic.

Concerning price, contents and clarity of exposition, one can simply forget about the two unjustifiably-praised "preachers" of the logic world, i.e. Enderton Cited by: PDL is to (first-order) dynamic logic as propositional logic is to first-order logic.

Fischer and Ladner showed in their paper that PDL satisfiability was of computational complexity at most nondeterministic exponential time, and at least deterministic exponential time in First-order dynamic logic book worst case. First-Order Dynamic Logic by David Harel starting at $ First-Order Dynamic Logic has 2 available editions to buy at Half Price Books Marketplace Same Low Prices, Bigger Selection, More Fun.

First-order dynamic logic. David Harel. Springer, - Computers - pages. 0 Reviews. From inside the book. What people are saying and failing domain dynamic logic Edited elements EPDL equivalent execution exists an L-wff expressive fact faila false finite first-order formula function symbol guarded commands language hence Hoare's.

First-Order Dynamic Logic (Lecture Notes in Computer Science (68)) th Edition by D. Harel (Author) out of 5 stars 1 rating. ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: Search ACM Digital Library. Search. Advanced Search. This book provides the first comprehensive introduction to Dynamic the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms.

For example, Propositional Dynamic Logic (PDL) can be described as a blend of three 5/5(1). First-Order Logic book. Read 7 reviews from the world's largest community for readers. This completely self-contained study, widely considered the best b 4/5.

Given statement is: ¬ ∃ x (∀y(α) ∧ ∀z(β)) where ¬ is a negation operator, ∃ is Existential Quantifier with the meaning of "there Exists", and ∀ is a Universal Quantifier with the meaning " for all ", and α, β can be treated as we can apply some of the standard results of Propositional and 1st order logic on the given statement, which are as follows.

First-Order Logic • Propositional logic only deals with “facts”, statements that may or may not be true of the world, e.g. “It is raining”., one cannot have variables that stand for books or tables.

But That means today's subject matter is first-order logic, which is extending propositional logic. This book is divided into three parts. Part I reviews the fundamental concepts of logic and computability theory that are needed in the study of Dynamic Logic.

Part II discusses Propositional Dynamic Logic and its variants, and Part III discusses First-Order Dynamic Logic and its variants. This book introduces some extensions of classical first-order logic and applies them to reasoning about computer programs.

The extensions considered are: second-order logic, many-sorted logic, w-logic, modal logic type theory and dynamic logic. First-order logic • Propositional logic assumes the world contains facts that are true or false.

• First-order logic assumes the world contains – Objects: people, houses, numbers, colors, baseball games, wars, – Relations between objects: red, round, prime, brother of, bigger than, part of, comes between, File Size: KB.

Harel: First order dynamic logic, Lect. Notes in Comp. Sci. vol. 68, Springer-Verlag Google Scholar 4. Makowsky: Measuring the expressive power of dynamic logic — an application of abstract model theory, Automata, Languages and Programming (deBakker and van Leeuwen, eds.) Lect.

Notes in Comp. Sci. vol. 85, p. –, Springer Cited by: (LMCS,p) V.1 First{OrderLogic Thisisthemostpowerful,mostexpressive logicthatwewillexamine.

Ourversionofflrst-orderlogicwillusethe followingsymbols:File Size: KB. Dynamic Logic (DL) is covered on the first-order (rather than the propositional) level.

Regular DL, context-free DL and versions of them for treating infinite computations (or actions) are defined and analyzed, and a complete proof theory is developed for proving that formulae of .First-order theories are discussed in some detail, with special emphasis on number theory.

After a discussion of truth and models, the completeness theorem is proved. " an excellent text." Mathematical Reviews Well-written undergraduate-level introduction begins with symbolic logic and set theory, followed by presentation of statement /5.An Interactive Theorem Prover for First-Order Dynamic Logic Tuhin Kanti Das Department of Computer Science Supervisor Professor Michael Winter Submitted in partial ful llment of the requirements for the degree of Master of Science Faculty of Mathematics and Science, Brock University St.

Catharines, Ontario. Tuhin Kanti Das, ©.