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2017 | OriginalPaper | Chapter

Balancing Between Cognitive and Semantic Acceptability of Arguments

Authors : Hiroyuki Kido, Keishi Okamoto

Published in: Knowledge Science, Engineering and Management

Publisher: Springer International Publishing

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Abstract

This paper addresses the problem concerning approximating human cognitions and semantic extensions regarding acceptability status of arguments. We introduce three types of logical equilibriums in terms of satisfiability, entailment and semantic equivalence in order to analyse balance of human cognitions and semantic extensions. The generality of our proposal is shown by the existence conditions of equilibrium solutions. The applicability of our proposal is demonstrated by the fact that it detects a flaw of argumentation actually taking place in an online forum and suggests its possible resolution.

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Appendix
Available only for authorised users
Footnotes
1
We recognise that sentences existing in arguments indirectly affect semantic acceptability in the sense that they define relations among arguments.
 
2
The exclusive OR is strictly appropriate. However, we use OR because of their equivalence.
 
3
\(\varepsilon (AF)\models \varSigma _{\downarrow }\) denotes that, for all \(x\in L_{AF}\), if \(x\in \varSigma _{\downarrow }\) then \(\varepsilon (AF)\models x\).
 
4
\(\varSigma _{\downarrow }\Leftrightarrow \varepsilon (AF)\) denotes that \(\varSigma _{\downarrow }\models \varepsilon (AF)\) and \(\varepsilon (AF)\models \varSigma _{\downarrow }\) hold.
 
5
The rightmost graph is not an unsatisfiable core when complete extensions are assumed.
 
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Metadata
Title
Balancing Between Cognitive and Semantic Acceptability of Arguments
Authors
Hiroyuki Kido
Keishi Okamoto
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-63558-3_14

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