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Logic and Logical Philosophy

On algorithmic properties of propositional inconsistency-adaptive logics
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On algorithmic properties of propositional inconsistency-adaptive logics

Authors

  • Sergei P. Odintsov Sobolev Institute of Mathematics and Novosibirsk State University
  • Stanislav O. Speranski Sobolev Institute of Mathematics and Novosibirsk State University

DOI:

https://doi.org/10.12775/LLP.2012.011

Keywords

inconsistency-adaptive logics, non-monotonic logic, dynamic reasoning, reliability strategy, minimal abnormality strategy, computational complexity, expressiveness

Abstract

The present paper is devoted to computational aspects of propositional inconsistency-adaptive logics. In particular, we prove (relativized versions of) some principal results on computational complexity of derivability in such logics, namely in cases of CLuNr and CLuNm , i.e., CLuN supplied with the reliability strategy and the minimal abnormality strategy, respectively.

References

Batens, D., “Inconsistency-adaptive logics’;, pages 445–472 in: E. Orłowska (ed.), Logic at Work. Essays dedicated to the memory of Helena Rasiowa, Springer, Heidelberg, New York, 1999,

Batens, D.,“A general characterization of adaptive logics”, Logique et Analyse 173–174–175 (2001): 45–68.

Batens, D., “A procedural criterion for final derivability in inconsistency-adaptive logics”, Journal of Applied Logic 3 (2005): 221–250.

Batens, D. “Adaptive logics and dynamic proofs”, manuscript, available at http://logica.ugent.be/adlog/book.html

Horsten, L., and P. Welch, “The undecidability of propositional adaptive logic”, Synthese 158 (2007): 41–60.

Smorynski, C., Self-reference and Modal Logic, Springer, Berlin, 1985.

Verdee, P.,“Adaptive logics using the minimal abnormality strategy are Π1 1-complex”, Synthese 167 (2009): 93–104.

Verdee, P., “A proof procedure for adaptive logics”, to appear in Logical Journal of IGPL.

Logic and Logical Philosophy

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Published

2012-08-30

How to Cite

1.
ODINTSOV, Sergei P. and SPERANSKI, Stanislav O. On algorithmic properties of propositional inconsistency-adaptive logics. Logic and Logical Philosophy. Online. 30 August 2012. Vol. 21, no. 3, p. 209–228. [Accessed 29 June 2025]. DOI 10.12775/LLP.2012.011.
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Vol. 21 No. 3 (2012): September

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Articles

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