Abstract
We have studied the problem of expressive completeness for modal logic. In case of a simple class of frames, the homogeneous ones, expressive completeness could be shown. Moreover, within a class of special finite hamiltonian binary ramified frames, called wheels, the complete ones have been classified by means of simple numerical invariants.
In the meantime, the question of expressive completeness could be answered for all binary ramified frames. The corresonding results will appear elsewhere.
Certain frames of ramification degree > 2 (e.g. “wheels” W n,k,l) are unrollable into fan-like structures. For those frames the problem of expressive completeness may be studied in a similar way as in the present note.
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© 1994 Springer-Verlag Berlin Heidelberg
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Heinemann, B. (1994). On expressive completeness of modal logic. In: Nerode, A., Matiyasevich, Y.V. (eds) Logical Foundations of Computer Science. LFCS 1994. Lecture Notes in Computer Science, vol 813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58140-5_16
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DOI: https://doi.org/10.1007/3-540-58140-5_16
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