Logic and Program Semantics

Essays Dedicated to Dexter Kozen on the Occasion of His 60th Birthday by R. L. Constable

Publisher: Springer Berlin Heidelberg in Berlin, Heidelberg

Written in English
Cover of: Logic and Program Semantics | R. L. Constable
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  • Mathematical Logic and Formal Languages,
  • Programming Techniques,
  • Software engineering,
  • Algorithm Analysis and Problem Complexity,
  • Logic design,
  • Logics and Meanings of Programs,
  • Computer science,
  • Programming Languages, Compilers, Interpreters,
  • Computer software

Edition Notes

Statementedited by Robert L. Constable, Alexandra Silva
SeriesLecture Notes in Computer Science -- 7230
ContributionsSilva, Alexandra, SpringerLink (Online service)
The Physical Object
Format[electronic resource] :
ID Numbers
Open LibraryOL27071641M
ISBN 109783642294853

Of all the definitions that will follow shortly, there are four important ideas to grasp: the syntax of a language, the model-theoretic semantics of a language, what a theory means in the context of logic, and the notion of deduction where we apply some rules to what has been represented explicitly so as to derive knowledge that was represented. T1 - Program verification using reachability logic. AU - Roşu, Grigore. AU - Ştefănescu, Andrei. AU - Ciobâcă, Ştefan. PY - /1/1. Y1 - /1/1. N2 - Matching logic is a logic for reasoning about program configuration properties in a language-parametric manner. On top of matching logic we define reachability logic and equivalence : Grigore Roşu, Andrei Ştefănescu, Ştefan Ciobâcă. User Review - Flag as inappropriate Truth and Consequence Both Defined in One Book By Ole Anders (Coquina Beach, FL USA) This review is from: Logic, Semantics, Metamathematics: Papers from to (Hardcover) This book collects seventeen classic papers on logic, semantics, and metamathematics authored or co-authored by the late Alfred Tarski ( 5/5(2). Semantics can be composed and complemented as easy as abstract domains. Applications in logic programming have shown that the semantics S .

However, only with the development of symbolic logic, namely, beginning with the works of A. Tarski (), was first given a semantic definition of truth for a large group of formalized languages, and at the same time, the boundaries of such a definition are indicated. In fact, the scope of the philosophy of logic is much broader. CS, Winter Lecture Notes: First-Order Logic: Syntax and Semantics Dr. Alan Fern, [email protected] January 8, 1 Limits of Propositional Logic Propositional logic assumes that the world or system being modeled can be described in terms of a xed, known set of propositions. This assumption can make it awkward, or even impossible, toFile Size: KB. Lloyd's book covers, in four chapters and less than pages, the declarative semantics of logical programming, its procedural semantics, and the semantics of negation as failure, as well as an initial investigation into the semantics of logic programs specifying perpetual processes. Lloyd does this in a clear, ordered, and meticulous manner. Get this from a library! Logic and program semantics: essays dedicated to Dexter Kozen on the occasion of his 60th birthday. -- Annotation This Festschrift volume is published in honor of Dexter Kozen on the occasion of his 60th birthday. Dexter Kozen has been a leader in the development of Kleene Algebras (KAs). The.

Logic and language Summary Further reading Exercises 7 Meaning and cognition I: categorization and cognitive semantics Chapter preview The semantics of categorization Classical categorization Problems with classical categories Prototype categorization File Size: KB. Richard Routley (Sylvan) presents a hugely ambitious program: to use an 'ultramodal' logic as a universal key, Available Formats: Hardcover eBook. Book The Semantics of Plurals, Focus, Degrees, and Times. Altshuler, D. (Ed), Rett, J. (Ed) (). The semantics of predicate logic Readings: Section , , In this module, we will precisely define the semantic interpretation of formulas in our predicate logic. In propositional logic, every formula had a fixed, finite number of models (interpretations); this is not the case in predicate logic. As a consequence, we must take more careFile Size: KB. Two-dimensional (2D) semantics is a formal framework that is used to characterize the meaning of certain linguistic expressions and the entailment relations among sentences containing them. Two-dimensional semantics has also been applied to thought contents. In contrast with standard possible worlds semantics, 2D semantics assigns extensions.

Logic and Program Semantics by R. L. Constable Download PDF EPUB FB2

Logic and Program Semantics Essays Dedicated to Dexter Kozen on the Occasion of His 60th Birthday. Editors: Constable, Robert L., Silva, Alexandra (Eds.) Free Preview. Books shelved as semantics: Language in Thought and Action by S.I.

Hayakawa, Science and Sanity: An Introduction to Non-Aristotelian Systems and General. Logic and Program Semantics Essays Dedicated to Dexter Kozen on the Occasion of His 60th Birthday. forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy.

After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading/5(8). Since the rst edition of this book the eld of logic programming has developed and conventional programming languages is the declarative nature of logic.

A program written in, for instance, Fortran can, in general, not be understood without taking predicate logic. The operational semantics of de nite programs is described in Chapter 3. TheFile Size: 1MB.

Logic and Program Semantics: Essays Dedicated to Dexter Kozen on the Occasion of His 60th Birthday (Lecture Notes in Computer Science ()) [Constable, Robert L., Silva, Alexandra] on *FREE* shipping on qualifying offers. Logic and Program Semantics: Essays Dedicated to Dexter Kozen on the Occasion of His 60th Birthday (Lecture Notes in Computer.

The abundance of sample symbolizations and proofs in this book makes it ideal for classroom use Masato Ishida, University of Hawaii Agler's Symbolic Logic: Syntax, Semantics, and Proof is a remarkably clear and systematic introduction to first-order formal logic/5(12).

This book is based on my lectures in advanced and in-termediate logic courses at Yale University {, Indiana University { These courses were in-tended speci cally for philosophy students with one pre-vious course in formal logic.

The general aim of this book is to provide a broad framework in which both classical and File Size: 1MB. In logic, the semantics of logic is the study of the semantics, or interpretations, of formal and (idealizations of) natural languages usually trying to capture the pre-theoretic notion of entailment.

Overview. The truth conditions of various sentences we may encounter in arguments will depend upon their meaning, and so logicians cannot completely avoid the need to provide.

Predicate Calculus and Program Semantics - Ebook written by Edsger W. Dijkstra, Carel S. Scholten. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Predicate Calculus and Program Semantics.

Logic, Semantics, Metamathematics book. Read 2 reviews from the world's largest community for readers. Published with the aid of a grant from the Nationa /5.

Despite this work, misunderstanding, controversies and disagreements remain about the informal semantics of logic programs and the meaning of its connectives. Two main and conflicting views on logic programming have emerged: the view of a logic program as a definition, and the view of a logic program as an autoepistemic theory.

The former was. The research program of informal logic does not preclude the use of formal methods or appeal to formal logics. Logic offers more than an analogy for doing semantics for natural language. Logic is a tool that makes semantic analysis easier to do, to present and to understand.

The papers presented in this volume examine topics of central. Lexical Semantics: Hyponyms & Hypernyms •Hyponym: word x is a hyponym of word y if the sets of referents of x is always in the set of referents of y •e.g.

the set of poodles is always in the set of dogs •Hypernym: the converse of hyponym •above, ‘dogs’ = hypernym, ‘poodles’ = hyponymFile Size: 1MB. This book provides a synthesis of four versions of program semantics. In relational semantics a program is thought of as a binary input-output relation over some state space; in predicate transformer semantics a program is a mapping from predicates to predicates; in information systems (and Hoare logic) a program is considered as a relation between.

logic and set theory. Linguistic meaning cannot usefully be studied by someone who knows only about pragmatics, however. A view widely shared among linguists is that semantics and pragmatics are essential components that work together in a full description of meaning.

In this book, I attempt to integrate semantics with pragmatics, but. The Semantics of Predicate Logic as a Programming Language M. VAN EMDEN AND R. KOWALSKI Umverslty of Edinburgh, Edmburgh. Scotland ABSTRACT Sentences in first-order predicate logic can be usefully interpreted as programs In this paper the.

The semantics of ASP is based on the stable model semantics of logic programming [5]. ASP supports negation as failure [4], allowing it to elegantly model. Semantics describes the processes a computer follows when executing a program in that specific language.

This can be shown by describing the relationship between the input and output of a program, or an explanation of how the program will be executed on a certain platform, hence creating a model of computation.

Semantics of Programming Languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. It introduces the mathematical theory of programming languages with an emphasis on higher-order functions and type systems. Designed as a text for upper-level and graduate-level students, the mathematically.

What the program does during execution time of the code, that's the semantics of the code. In general, the semantics are the coded algorithms. I have never heard speaking about the semantics of a logic. The term cannot denote the rules for the logic, because these rules are formal rules without semantics.

Covering the authors' own state-of-the-art research results, Mathematical Aspects of Logic Programming Semantics presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs.

It significantly extends the tools and methods from traditional order theory to include nonconventional metho. Propositional Logic: Semantics and an Example CPSC { Logic 2, Slide Recap: SyntaxPDC: SemanticsUsing Logic to Model the WorldProofs Electrical Environment light two-way switch switch off on power outlet circuit breaker outside power l 1 l 2 w 1 w 0 w 2 w 4 w 3 w 6 w 5 p 2 p 1 cb 2 cb 1 s 1 s 2 s 3File Size: KB.

What is a logic. A logic is a language. It has syntax and semantics. More than a language, it has inference rules. Syntax: the rules about how to form formulas; this is usually the easy part of a logic. Semantics: about the meaning carried by the formulas, mainly in terms of logical consequences.

Inference rules describe correct. Erik T. Mueller, in Commonsense Reasoning (Second Edition), Bibliographic notes. The stable models semantics for logic programming was introduced by Gelfond and Lifschitz ().Book-length treatments of answer set programming are by Baral (), Gebser, Kaminski, Kaufmann, and Schaub (), and Gelfond and Kahl ().Answer set.

semantics of the program. CONCEPTS AND EXAMPLES Axiomatic semantics has two starting points: a paper by Robert Floyd and a somewhat different approach introduced by C. Hoare. We use the nota-tion presented by Hoare. Axiomatic semantics is commonly associated with proving a program to be correct using a purely static analysis of the File Size: KB.

The book Concrete Semantics introduces semantics of programming languages through the medium of a proof assistant. It consists of two parts: Part I is a self-contained introduction to the proof assistant Isabelle. Part II is an introduction to semantics and its applications and is based on a simple imperative programming language.

Contemporary modern semantics was born when the traditional perspectives of logic merged with the modern enterprise of generative syntax, as initiated by Noam Chomsky.

The first worked out formal semantic system in this tradition was David Lewis’ paper General Semantics, one of the most beautiful and enjoyable articles in semantics to.

More about the E-ditions Program» These two volumes of the author’s Studies in Semantics are here combined in one book, with minor corrections. The bibliographies have been brought up-to-date, but the original pagination has been preserved.

An important approach to semantics, pioneered by Floyd, Hoare, and Wirth, is called assertion semantics: given a specification of which assertions (preconditions) on input data should guarantee that the results satisfy desired assertions (postconditions) on output data, one seeks a logical proof that the program satisfies its specification.

mined from the lexical and compositional semantics of a sentence represented in a given logic. Syntax and Semantics As the ambiguous examples above made clear, syntax affects interpretation because syntactic ambiguity leads to semantic ambiguity. For this reason se-mantic rules must be sensitive to syntactic structure.

Most semantic theoriesFile Size: KB.You are reading this book. This is a logic book.:_: You are a logic student. This is not a terrible argument. Most people who read this book are logic students. Yet, it is possible for someone besides a logic student to read this book.

If your roommate picked up the book and thumbed through it, they would not immediately become a logic student.Educational Software, First Order Logic Semantics, Teaching Resources, Logical Concepts. 1. INTRODUCTION. Basic courses on logic are common in most computer science curricula.

In this kind of course, students have to do a lot of individual work to solve exercises and to gain experience in working with formalisms. In this context, the.