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A general schema for generating argumentation semantics from logic programming semantics

Juan Carlos Nieves Sánchez, Mauricio Osorio Galindo

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Abstract

In this paper, by considering the idea that argumentation semantics can be viewed as a special form of logic programming semantics with negation as failure, we show that any logic programming semantics as the stable model semantics, the minimal models, etc., can define candidate argumentation semantics. These new argumentation semantics will overcome some of the problems of the Dung's argumentation semantics that have been discussed in the literature. The new argumentation semantics are based on a new recursive framework for logic programming semantics. This framework generalizes any logic programming semantics in order to build logic programming semantics which are always defined, satisfy the property of relevance and agree with the stable semantics for the class of stratified programs.

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What this paper is about

In this paper, by considering the idea that argumentation semantics can be viewed as a special form of logic programming semantics with negation as failure, we show that any logic programming semantics as the stable model semantics, the minimal models, etc., can define candidate argumentation semantics. These new argumentation semantics will overcome some of the problems of the Dung's argumentation semantics that have been discussed in the literature. The new argumentation semantics are based on a new recursive framework for logic programming semantics. This framework generalizes any logic programming semantics in order to build logic programming semantics which are always defined, satisfy the property of relevance and agree with the stable semantics for the class of stratified programs.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, by considering the idea that argumentation semantics can be viewed as a special form of logic programming semantics with negation as failure, we show that any logic programming semantics as the stable model semantics, the minimal models, etc., can define candidate argumentation semantics. These new argumentation semantics will overcome some of the problems of the Dung's argumentation semantics that have been discussed in the literature. The new argumentation semantics are based on a new recursive framework for logic programming semantics. This framework generalizes any logic programming semantics in order to build logic programming semantics which are always defined, satisfy the property of relevance and agree with the stable semantics for the class of stratified programs.

Key concepts: Well-founded semantics, Stable model semantics, Programming language, Action semantics, Logic programming, Operational semantics, Computer science, Computational semantics

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