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Adaptive logics using the minimal abnormality strategy are \(\Pi^1_1\) -complex

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Abstract

In this article complexity results for adaptive logics using the minimal abnormality strategy are presented. It is proven here that the consequence set of some recursive premise sets is \(\Pi_1^1\) -complete. So, the complexity results in (Horsten and Welch, Synthese 158:41–60, 2007) are mistaken for adaptive logics using the minimal abnormality strategy.

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Authors and Affiliations

  1. Centre for Logic and Philosophy of Science, Ghent University, Blandijnberg 2, Gent, 9000, Belgium

    Peter Verdée

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  1. Peter Verdée
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Correspondence to Peter Verdée.

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Verdée, P. Adaptive logics using the minimal abnormality strategy are \(\Pi^1_1\) -complex. Synthese 167, 93–104 (2009). https://doi.org/10.1007/s11229-007-9291-5

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  • DOI: https://doi.org/10.1007/s11229-007-9291-5

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