Constructive Semantics For Negation

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Constructive Semantics For Negation

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Author : Clifford Walinsky
language : en
Publisher:
Release Date : 1987

Constructive Semantics For Negation written by Clifford Walinsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Logic programming categories.

Constructive Negations And Paraconsistency

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Author : Sergei Odintsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-19

Constructive Negations And Paraconsistency written by Sergei Odintsov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-19 with Philosophy categories.

Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.

A Bottom Up Semantics For Constructive Negation

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Author : Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands).
language : en
Publisher:
Release Date : 1994

A Bottom Up Semantics For Constructive Negation written by Centrum voor Wiskunde en Informatica (Amsterdam, Netherlands). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

A Bottum Up Semantics For Constructive Negation

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Author : Annalisa Bossi
language : en
Publisher:
Release Date : 1994

A Bottum Up Semantics For Constructive Negation written by Annalisa Bossi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Logic programming categories.

Abstract: "The constructive negation rule has been introduced by Chan [5,6] to overcome the main drawbacks of the negation-as-failure rule: the unsoundness of floundering programs and, consequently, the inability of providing answers for non-ground negative queries. In this paper we define a bottom-up semantics for constructive negation which we prove sound and complete with respect to the three-valued completion of the program. The semantics describes answers as well as undefined computations for both positive and negative queries. Its construction closely follows the basic idea of constructive negation whereby answers to a negative query are obtained by negating a frontier of the computation tree for the corresponding positive query. Therefore, the proposed semantics can be considered as a natural base for reasoning on the operational semantics for constructive negation defined in the literature. Moreover, we show how the semantics can be effectively used to perform a bottom-up computation of the answers of a normal query."

On The Semantics Of Classical First Order Logic With Constructive Double Negation

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Author : Ken Kaneiwa
language : en
Publisher:
Release Date : 2004

On The Semantics Of Classical First Order Logic With Constructive Double Negation written by Ken Kaneiwa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

Routley Meyer Ternary Relational Semantics For Intuitionistic Type Negations

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Author : Gemma Robles
language : en
Publisher: Academic Press
Release Date : 2018-01-02

Routley Meyer Ternary Relational Semantics For Intuitionistic Type Negations written by Gemma Robles and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-02 with Mathematics categories.

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. Provides a clear development of the fundamentals of RM-semantics in a new application Covers the most general research on ternary relational semantics Includes scrutiny of constructive negation from the ternary relational perspective

Constructive Negation By Fail Answers

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Author : Wlodzimierz Drabent
language : en
Publisher:
Release Date : 1991

Constructive Negation By Fail Answers written by Wlodzimierz Drabent and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Logic programming categories.

Abstract: "A standard approach to negation in logic programming is negation as failure. Its major drawback is that it cannot produce answer substitutions to negated queries. This paper presents an approach to overcoming this limitation. The approach is based on construction of finitely failed trees for some instances of a negated query. The method is applicable to normal programs, it is a proper extension of SLDNF- resolution. Its semantics is given by Clark's completion. A version for the well-founded semantics is also presented."

Negation In Logic And Deductive Databases

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Author : Xuegang Wang
language : en
Publisher:
Release Date : 2000

Negation In Logic And Deductive Databases written by Xuegang Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

This thesis studies negation in logic and deductive databases. Among other things, two kinds of negation are discussed in detail: strong negation and nonmonotonic negation. In the logic part, we have constructed a first-order logic CF 0 of strong negation with bounded quantifiers. The logic is based on constructive logics, in particular, Thomason's logic CF. However, unlike constructive logic, quantifiers in our system as in Thomason's are static rather than dynamic. For the logic CF 0, the usual Kripke formal semantics is defined but based on situations instead of conventional possible worlds. A sound and complete axiomatic system of CF 0 is established based on the axiomatic systems of constructive logics with strong negation and Thomason's completeness proof techniques. CF 0 is proposed as the underlying logic for situation theory. Thus the connection between CF 0 and infon logic is briefly discussed. In the database part, based on the study of some main existing semantic theories for logic programs with nonmonotonic negation, we have defined a novel semantics of logic programs called quasi-stable semantics. An important observation is that a nonmonotonic negation such as is required for logic programs should be computed by a nonmonotonic, revision process. Only a process that allows one to withdraw by revising provisionally held negative information can hope to be adequate to model a non-monotonic negation. In light of this, we propose a model of negation that owes much to the stable semantics but allows, through a mechanism of consistency- recovery, for just this withdrawal of previously assumed negative information. It has been proved that our new semantics maintains the desired features of both the well-founded semantics and the stable model semantics while overcoming their shortcomings. In addition, the quasi-stable semantics has been generalised to logic programs with both strong negation and nonmonotonic negation, giving rise to the quasi-answer set semantics.

Negation

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Author : Heinrich Wansing
language : en
Publisher: Walter de Gruyter
Release Date : 2010-11-05

Negation written by Heinrich Wansing and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-05 with Philosophy categories.

Negation: A Notion in Focus (Perspectives in Analytical Philosophy, Bd 7).

Negation And Polarity

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Author : Danielle Forget
language : en
Publisher: John Benjamins Publishing
Release Date : 1997-11-20

Negation And Polarity written by Danielle Forget and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-20 with Language Arts & Disciplines categories.

In the last decade, there has been a revival of interest regarding negation and polarity, with much cross-fertilization between semantic and syntactic approaches. The papers in the present volume address key issues regarding the syntax and semantics of negation and polarity, including both synchronic and diachronic perpectives. Central to the discussions are the distribution of negative markers and the structure of the clause, negative concord phenomena, licensing of polarity items, similarities between Neg-movement and wh-movement. The papers, by main contributors to the field, reflect different theoretical frameworks, including Principles and Parameters and Minimalist approaches, Head-Driven Phrase Structure Grammar, Formal Semantics, or approaches interested in pragmatics. The volume is of interest to syntacticians, semanticians, historical linguists, typologists, and philosophers.