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Journal of Logic and Computation 1994 4(1):21-22; doi:10.1093/logcom/4.1.21
© 1994 by Oxford University Press
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Original Articles

Solution to a Problem of Goranko and Passy

FRANK WOLTER

II. Mathematisches Institut FU Berlin, Germany

Goranko and Passy have defined for a monomodal logic {wedge} {subseteq}£({square}) its minimal extension {wedge}u {subseteq} £u. {wedge}u is the smallest bimodal logic such that one monomodal fragment is {wedge}, the other is S5 and . They state the problem whether for any finitely complete logic {wedge} its minimal extension {wedge}u is finitely complete. In this paper we give a negative answer to this question.

Keywords: Modal logic; universal modality; minimal extension; transfer property; subframe logic


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