Relational Semantics and the Anatomy of Abstraction

Relational Semantics and the Anatomy of Abstraction PDF Author: Tamar Sovran
Publisher: Routledge
ISBN: 1134475608
Category : Language Arts & Disciplines
Languages : en
Pages : 208

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Book Description
This book presents a study of meaning relations, linking the philosophical tradition of conceptual analysis with recent theories and methodologies in cognitive semantics. Its main concern is the extent to which analyzing meaning relations between cognate words reveal the infrastructure of the actual and mental lexicon, assuming that language mirrors thought. Sovran aims to elucidate their infrastructure and the metaphorical and perceptual models that constitute abstract concepts, dealing finally with the role of abstraction in poetic metaphors. Overall, this volume addresses major contemporary issues in the philosophy of language and theoretical semantics.

Relational Semantics and the Anatomy of Abstraction

Relational Semantics and the Anatomy of Abstraction PDF Author: Tamar Sovran
Publisher: Routledge
ISBN: 1134475608
Category : Language Arts & Disciplines
Languages : en
Pages : 208

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Book Description
This book presents a study of meaning relations, linking the philosophical tradition of conceptual analysis with recent theories and methodologies in cognitive semantics. Its main concern is the extent to which analyzing meaning relations between cognate words reveal the infrastructure of the actual and mental lexicon, assuming that language mirrors thought. Sovran aims to elucidate their infrastructure and the metaphorical and perceptual models that constitute abstract concepts, dealing finally with the role of abstraction in poetic metaphors. Overall, this volume addresses major contemporary issues in the philosophy of language and theoretical semantics.

Abstract Relational Semantics

Abstract Relational Semantics PDF Author: Jules Desharnais
Publisher:
ISBN:
Category :
Languages : en
Pages : 262

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Book Description
"Abstract relational algebra is used to define the semantics of a simple imperative language. In order to carry out this task, various domains are specified by relational axioms. Some specifications define relations on the basic types of the language (Booleans and natural numbers); their presentation stresses the importance of the concept of point. Other specifications construct the relational domains whose relations are used to denote programs. The programming constructs that are defined include expressions, variable declarations, assignment statements, while-program statements and procedures. A particularity of the semantic definitions is that the relations denoting a program fragment depend only on the fragment, and not on its environment (procedure calls excepted). Finally, it is shown how the semantics of a program fragment can be used to prove its correctness relative to a specification. The result is a uniform abstract relational setting for specification, semantics and program derivation." --

Substructural Logics: A Primer

Substructural Logics: A Primer PDF Author: F. Paoli
Publisher: Springer Science & Business Media
ISBN: 9401731799
Category : Philosophy
Languages : en
Pages : 306

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Book Description
The aim of the present book is to give a comprehensive account of the ‘state of the art’ of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational. It is for graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics as well as specialists and researchers.

Abstract Objects and the Semantics of Natural Language

Abstract Objects and the Semantics of Natural Language PDF Author: Friederike Moltmann
Publisher: OUP Oxford
ISBN: 0191649953
Category : Philosophy
Languages : en
Pages : 255

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Book Description
Abstract objects have been a central topic in philosophy since antiquity. Philosophers have defended various views about abstract objects by appealing to metaphysical considerations, considerations regarding mathematics or science, and, not infrequently, intuitions about natural language. This book pursues the question of how and whether natural language allows for reference to abstract objects in a fully systematic way. By making full use of contemporary linguistic semantics, it presents a much greater range of linguistic generalizations than has previously been taken into consideration in philosophical discussions, and it argues for an ontological picture is very different from that generally taken for granted by philosophers and semanticists alike. Reference to abstract objects such as properties, numbers, propositions, and degrees is considerably more marginal than generally held. Instead, natural language is rather generous in allowing reference to particularized properties (tropes), the use of nonreferential expressions in apparent referential position, and the use of 'nominalizing expressions', such as quantifiers like 'something'. Reference to abstract objects is achieved generally only by the use of 'reifying terms', such as 'the number eight'.

Principles of Abstract Interpretation

Principles of Abstract Interpretation PDF Author: Patrick Cousot
Publisher: MIT Press
ISBN: 0262044900
Category : Computers
Languages : en
Pages : 833

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Book Description
Introduction to abstract interpretation, with examples of applications to the semantics, specification, verification, and static analysis of computer programs. Formal methods are mathematically rigorous techniques for the specification, development, manipulation, and verification of safe, robust, and secure software and hardware systems. Abstract interpretation is a unifying theory of formal methods that proposes a general methodology for proving the correctness of computing systems, based on their semantics. The concepts of abstract interpretation underlie such software tools as compilers, type systems, and security protocol analyzers. This book provides an introduction to the theory and practice of abstract interpretation, offering examples of applications to semantics, specification, verification, and static analysis of programming languages with emphasis on calculational design. The book covers all necessary computer science and mathematical concepts--including most of the logic, order, linear, fixpoint, and discrete mathematics frequently used in computer science--in separate chapters before they are used in the text. Each chapter offers exercises and selected solutions. Chapter topics include syntax, parsing, trace semantics, properties and their abstraction, fixpoints and their abstractions, reachability semantics, abstract domain and abstract interpreter, specification and verification, effective fixpoint approximation, relational static analysis, and symbolic static analysis. The main applications covered include program semantics, program specification and verification, program dynamic and static analysis of numerical properties and of such symbolic properties as dataflow analysis, software model checking, pointer analysis, dependency, and typing (both for forward and backward analysis), and their combinations. Principles of Abstract Interpretation is suitable for classroom use at the graduate level and as a reference for researchers and practitioners.

Principles of Abstract Interpretation

Principles of Abstract Interpretation PDF Author: Patrick Cousot
Publisher: MIT Press
ISBN: 0262361523
Category : Computers
Languages : en
Pages : 833

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Book Description
Introduction to abstract interpretation, with examples of applications to the semantics, specification, verification, and static analysis of computer programs. Formal methods are mathematically rigorous techniques for the specification, development, manipulation, and verification of safe, robust, and secure software and hardware systems. Abstract interpretation is a unifying theory of formal methods that proposes a general methodology for proving the correctness of computing systems, based on their semantics. The concepts of abstract interpretation underlie such software tools as compilers, type systems, and security protocol analyzers. This book provides an introduction to the theory and practice of abstract interpretation, offering examples of applications to semantics, specification, verification, and static analysis of programming languages with emphasis on calculational design. The book covers all necessary computer science and mathematical concepts--including most of the logic, order, linear, fixpoint, and discrete mathematics frequently used in computer science--in separate chapters before they are used in the text. Each chapter offers exercises and selected solutions. Chapter topics include syntax, parsing, trace semantics, properties and their abstraction, fixpoints and their abstractions, reachability semantics, abstract domain and abstract interpreter, specification and verification, effective fixpoint approximation, relational static analysis, and symbolic static analysis. The main applications covered include program semantics, program specification and verification, program dynamic and static analysis of numerical properties and of such symbolic properties as dataflow analysis, software model checking, pointer analysis, dependency, and typing (both for forward and backward analysis), and their combinations. Principles of Abstract Interpretation is suitable for classroom use at the graduate level and as a reference for researchers and practitioners.

The Semantics of Prepositions

The Semantics of Prepositions PDF Author: Michel Aurnague & Laure Vieu
Publisher: Walter de Gruyter
ISBN: 9783110136340
Category : Computers
Languages : en
Pages : 544

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Book Description
The majority of the papers in this volume were presented at a workshop on the semantics of prepositions held at the Institut für Angewandte Informationsforschung in February 1990. The broader topic is the conceptualization of space. The papers bring together different approaches to the mental process of interpreting prepositions, in particular, the computational processing of prepositions as predications of different cognitive domains. While no one presentation can claim to be exhaustive, it is hoped that the insights contained will inspire future discussions within cognitive linguistics.

Adapting Proofs-as-Programs

Adapting Proofs-as-Programs PDF Author: Iman Poernomo
Publisher: Springer Science & Business Media
ISBN: 0387281835
Category : Computers
Languages : en
Pages : 417

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Book Description
This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.

The Semantics of Relationships

The Semantics of Relationships PDF Author: R. Green
Publisher: Springer Science & Business Media
ISBN: 9401700737
Category : Computers
Languages : en
Pages : 237

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Book Description
The genesis of this volume was the participation of the editors in an ACMlSIGIR (Association for Computing Machinery/Special Interest Group on Information Retrieval) workshop entitled "Beyond Word Relations" (Hetzler, 1997). This workshop examined a number of relationship types with significance for information retrieval beyond the conventional topic-matching relationship. From this shared participation came the idea for an edited volume on relationships, with chapters to be solicited from researchers and practitioners throughout the world. Ultimately, one volume became two volumes. The first volume, Relationships in the Organization of Knowledge (Bean & Green, 200 I), examines the role of relationships in knowledge organization theory and practice, with emphasis given to thesaural relationships and integration across systems, languages, cultures, and disciplines. This second volume examines relationships in a broader array of contexts. The two volumes should be seen as companions, each informing the other. As with the companion volume, we are especially grateful to the authors who willingly accepted challenges of space and time to produce chapters that summarize extensive bodies of research. The value of the volume clearly resides in the quality of the individual chapters. In naming this volume The Semantics of Relationships: An Interdisciplinary Perspective, we wanted to highlight the fact that relationships are not just empty connectives. Relationships constitute important conceptual units and make significant contributions to meaning.

Tabular Expressions and Their Relational Semantics

Tabular Expressions and Their Relational Semantics PDF Author: Ryszard Janicki
Publisher:
ISBN:
Category : Software documentation
Languages : en
Pages : 23

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Book Description
Abstract: "Tabular expressions (Parnas et al. [17, 23, 25, 26]) are means to represent the complex relations that are used to specify or document software systems. A formal model and a semantics for tabular expressions are presented. The model covers all known types of tables used in Software Engineering."