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2016 | OriginalPaper | Buchkapitel

Correct Grounded Reasoning with Presumptive Arguments

verfasst von : Bart Verheij

Erschienen in: Logics in Artificial Intelligence

Verlag: Springer International Publishing

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Abstract

We address the semantics and normative questions for reasoning with presumptive arguments: How are presumptive arguments grounded in interpretations; and when are they evaluated as correct? For deductive and uncertain reasoning, classical logic and probability theory provide canonical answers to these questions. Staying formally close to these, we propose case models and their preferences as formal semantics for the interpretation of presumptive arguments. Arguments are evaluated as presumptively valid when they make a case that is maximally preferred. By qualitative and quantitative representation results, we show formal relations between deductive, uncertain and presumptive reasoning. In this way, the work is a step to the connection of logical and probabilistic approaches in AI.

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Literatur
1.
Zurück zum Zitat Amgoud, L.: Postulates for logic-based argumentation systems. Int. J. Intell. Syst. 55(9), 2028–2048 (2014)MathSciNetMATH Amgoud, L.: Postulates for logic-based argumentation systems. Int. J. Intell. Syst. 55(9), 2028–2048 (2014)MathSciNetMATH
2.
Zurück zum Zitat Amgoud, L., Caminada, M.: On the evaluation of argumentation formalisms. Artif. Intell. 172, 286–310 (2007)MathSciNetMATH Amgoud, L., Caminada, M.: On the evaluation of argumentation formalisms. Artif. Intell. 172, 286–310 (2007)MathSciNetMATH
3.
Zurück zum Zitat Baroni, P., Caminada, M., Giacomin, M.: Review: an introduction to argumentation semantics. Knowl. Eng. Rev. 26(4), 365–410 (2011)CrossRef Baroni, P., Caminada, M., Giacomin, M.: Review: an introduction to argumentation semantics. Knowl. Eng. Rev. 26(4), 365–410 (2011)CrossRef
4.
Zurück zum Zitat Benthem, J. van: Foundations of conditional logic. J. Philos. Logic 13, 303–349 (1984) Benthem, J. van: Foundations of conditional logic. J. Philos. Logic 13, 303–349 (1984)
5.
Zurück zum Zitat Besnard, P., García, A.J., Hunter, A., Modgil, S., Prakken, H., Simari, G.R., Toni, F.: Introduction to structured argumentation. Argument Comput. 5, 1–4 (2014)CrossRef Besnard, P., García, A.J., Hunter, A., Modgil, S., Prakken, H., Simari, G.R., Toni, F.: Introduction to structured argumentation. Argument Comput. 5, 1–4 (2014)CrossRef
7.
Zurück zum Zitat Bochman, A.: A Logical Theory of Nonmonotonic Inference and Belief Change. Springer, Berlin (2001)CrossRefMATH Bochman, A.: A Logical Theory of Nonmonotonic Inference and Belief Change. Springer, Berlin (2001)CrossRefMATH
8.
Zurück zum Zitat Bondarenko, A., Dung, P.M., Kowalski, R.A., Toni, F.: An abstract, argumentation-theoretic approach to default reasoning. Artif. Intell. 93, 63–101 (1997)MathSciNetCrossRefMATH Bondarenko, A., Dung, P.M., Kowalski, R.A., Toni, F.: An abstract, argumentation-theoretic approach to default reasoning. Artif. Intell. 93, 63–101 (1997)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Dawid, A.P.: Beware of the DAG! In: Guyon, I., Janzing, D., Schölkopf, B. (eds.) JMLR Workshop and Conference Proceedings. Causality: Objectives and Assessment (NIPS 2008 Workshop), vol. 6, pp. 59–86 (2010). jmlr.org Dawid, A.P.: Beware of the DAG! In: Guyon, I., Janzing, D., Schölkopf, B. (eds.) JMLR Workshop and Conference Proceedings. Causality: Objectives and Assessment (NIPS 2008 Workshop), vol. 6, pp. 59–86 (2010). jmlr.​org
10.
Zurück zum Zitat Dubois, D., Prade, H.: Possibility theory, probability theory and multiple-valued logics: a clarification. Ann. Math. Artif. Intell. 32(1), 35–66 (2001)MathSciNetCrossRefMATH Dubois, D., Prade, H.: Possibility theory, probability theory and multiple-valued logics: a clarification. Ann. Math. Artif. Intell. 32(1), 35–66 (2001)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77, 321–357 (1995)MathSciNetCrossRefMATH Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77, 321–357 (1995)MathSciNetCrossRefMATH
12.
Zurück zum Zitat Eemeren, F. H. van, Garssen, B., Krabbe, E.C.W., Henkemans, A.F.S., Verheij, B., Wagemans, J.H.M.: Argumentation in artificial intelligence. In: Eemeren, F. H. van, et al. (eds.) Handbook of Argumentation Theory. Springer, Berlin (2014) Eemeren, F. H. van, Garssen, B., Krabbe, E.C.W., Henkemans, A.F.S., Verheij, B., Wagemans, J.H.M.: Argumentation in artificial intelligence. In: Eemeren, F. H. van, et al. (eds.) Handbook of Argumentation Theory. Springer, Berlin (2014)
13.
Zurück zum Zitat García, A.J., Simari, G.R.: Defeasible logic programming: an argumentative approach. Theory Pract. Logic Program. 4(2), 95–138 (2004)MathSciNetCrossRefMATH García, A.J., Simari, G.R.: Defeasible logic programming: an argumentative approach. Theory Pract. Logic Program. 4(2), 95–138 (2004)MathSciNetCrossRefMATH
14.
15.
16.
Zurück zum Zitat Kraus, S., Lehmann, D., Magidor, M.: Nonmonotonic reasoning, preferential models and cumulative logics. Artif. Intell. 44, 167–207 (1990)MathSciNetCrossRefMATH Kraus, S., Lehmann, D., Magidor, M.: Nonmonotonic reasoning, preferential models and cumulative logics. Artif. Intell. 44, 167–207 (1990)MathSciNetCrossRefMATH
17.
Zurück zum Zitat Li, H., Oren, N., Norman, T.J.: Probabilistic argumentation frameworks. In: Modgil, S., Oren, N., Toni, F. (eds.) TAFA 2011. LNCS, vol. 7132, pp. 1–16. Springer, Heidelberg (2012)CrossRef Li, H., Oren, N., Norman, T.J.: Probabilistic argumentation frameworks. In: Modgil, S., Oren, N., Toni, F. (eds.) TAFA 2011. LNCS, vol. 7132, pp. 1–16. Springer, Heidelberg (2012)CrossRef
18.
Zurück zum Zitat Makinson, D.: General patterns in nonmonotonic reasoning. In: Gabbay, D.M., Hogger, C.J., Robinson, J.A. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, Nonmonotonic Reasoning and Uncertain Reasoning, vol. 3, pp. 35–110. Clarendon Press, Oxford (1994) Makinson, D.: General patterns in nonmonotonic reasoning. In: Gabbay, D.M., Hogger, C.J., Robinson, J.A. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, Nonmonotonic Reasoning and Uncertain Reasoning, vol. 3, pp. 35–110. Clarendon Press, Oxford (1994)
19.
20.
Zurück zum Zitat Pollock, J.L.: Defeasible reasoning. Cogn. Sci. 11(4), 481–518 (1987)CrossRef Pollock, J.L.: Defeasible reasoning. Cogn. Sci. 11(4), 481–518 (1987)CrossRef
21.
Zurück zum Zitat Pollock, J.L.: Cognitive Carpentry: A Blueprint for How to Build a Person. The MIT Press, Cambridge (1995) Pollock, J.L.: Cognitive Carpentry: A Blueprint for How to Build a Person. The MIT Press, Cambridge (1995)
22.
Zurück zum Zitat Prakken, H.: An abstract framework for argumentation with structured arguments. Argument Comput. 1(2), 93–124 (2010)CrossRef Prakken, H.: An abstract framework for argumentation with structured arguments. Argument Comput. 1(2), 93–124 (2010)CrossRef
23.
Zurück zum Zitat Roberts, F.S.: Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences. Cambridge University Press, Cambridge (1985) Roberts, F.S.: Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences. Cambridge University Press, Cambridge (1985)
24.
Zurück zum Zitat Russell, S.: Unifying logic and probability. Commun. ACM 58(7), 88–97 (2015)CrossRef Russell, S.: Unifying logic and probability. Commun. ACM 58(7), 88–97 (2015)CrossRef
25.
Zurück zum Zitat Simari, G.R.: On the properties of the relation between argumentation semantics and argumentation inference operators. In: Parsons, S., Oren, N., Reed, C., Cerutti, F. (eds.) Computational Models of Argument, Proceedings of COMMA 2014, pp. 3–8. IOS Press, Amsterdam (2014) Simari, G.R.: On the properties of the relation between argumentation semantics and argumentation inference operators. In: Parsons, S., Oren, N., Reed, C., Cerutti, F. (eds.) Computational Models of Argument, Proceedings of COMMA 2014, pp. 3–8. IOS Press, Amsterdam (2014)
26.
Zurück zum Zitat Thimm, M.: A probabilistic semantics for abstract argumentation. In: Proceedings of the European Conference on Artificial Intelligence (ECAI 2012), pp. 750–755. IOS Press, Amsterdam (2012) Thimm, M.: A probabilistic semantics for abstract argumentation. In: Proceedings of the European Conference on Artificial Intelligence (ECAI 2012), pp. 750–755. IOS Press, Amsterdam (2012)
27.
Zurück zum Zitat Toulmin, S.E.: The Uses of Argument. Cambridge University Press, Cambridge (1958) Toulmin, S.E.: The Uses of Argument. Cambridge University Press, Cambridge (1958)
28.
Zurück zum Zitat Verheij, B.: Argumentation and rules with exceptions. In: Computational Models of Argument: Proceedings of COMMA 2010, Desenzano del Garda, Italy, 8–10 September 2010, pp. 455–462. IOS Press, Amsterdam (2010) Verheij, B.: Argumentation and rules with exceptions. In: Computational Models of Argument: Proceedings of COMMA 2010, Desenzano del Garda, Italy, 8–10 September 2010, pp. 455–462. IOS Press, Amsterdam (2010)
29.
Zurück zum Zitat Verheij, B.: Jumping to conclusions. In: del Cerro, L.F., Herzig, A., Mengin, J. (eds.) JELIA 2012. LNCS, vol. 7519, pp. 411–423. Springer, Heidelberg (2012)CrossRef Verheij, B.: Jumping to conclusions. In: del Cerro, L.F., Herzig, A., Mengin, J. (eds.) JELIA 2012. LNCS, vol. 7519, pp. 411–423. Springer, Heidelberg (2012)CrossRef
30.
Zurück zum Zitat Verheij, B.: Arguments and their strength: revisiting Pollock’s anti-probabilistic starting points. In: Parsons, S., Oren, N., Reed, C., Cerutti, F. (eds.) Computational Models of Argument. Proceedings of COMMA 2014, pp. 433–444. IOS Press, Amsterdam (2014) Verheij, B.: Arguments and their strength: revisiting Pollock’s anti-probabilistic starting points. In: Parsons, S., Oren, N., Reed, C., Cerutti, F. (eds.) Computational Models of Argument. Proceedings of COMMA 2014, pp. 433–444. IOS Press, Amsterdam (2014)
31.
Zurück zum Zitat Verheij, B.: To catch a thief with and without numbers: arguments, scenarios and probabilities in evidential reasoning. Law Probab. Risk 13, 307–325 (2014)CrossRef Verheij, B.: To catch a thief with and without numbers: arguments, scenarios and probabilities in evidential reasoning. Law Probab. Risk 13, 307–325 (2014)CrossRef
32.
Zurück zum Zitat Verheij, B., Bex, F.J., Timmer, S.T., Vlek, C.S., Meyer, J.J., Renooij, S., Prakken, H.: Arguments, scenarios and probabilities: connections between three normative frameworks for evidential reasoning. Law Probab. Risk 15, 35–70 (2016)CrossRef Verheij, B., Bex, F.J., Timmer, S.T., Vlek, C.S., Meyer, J.J., Renooij, S., Prakken, H.: Arguments, scenarios and probabilities: connections between three normative frameworks for evidential reasoning. Law Probab. Risk 15, 35–70 (2016)CrossRef
Metadaten
Titel
Correct Grounded Reasoning with Presumptive Arguments
verfasst von
Bart Verheij
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-48758-8_31

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