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The Ackermann constant theorem: A computer-assisted investigation

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Abstract

The Ackermann constant problem for a logicL is to determine how many sentential constants generated by closing {t} under the connectives ofL are non-equivalent according toL. This problem was solved for the logicR by the author in 1979–1980. First a constraint satisfaction program was used to generate appropriate finite algebras. Then the constant fragment of their direct product was generated and studied. This paper is a history of the work, explaining the problems, the solution method and the algorithms used.

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Slaney, J.K. The Ackermann constant theorem: A computer-assisted investigation. J Autom Reasoning 7, 453–474 (1991). https://doi.org/10.1007/BF01880324

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  • DOI: https://doi.org/10.1007/BF01880324

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