Abstract. We consider four-point functions of the (p,q) minimal models coupled to the quantised metric of the spherical topology, which is called 2D minimal gravity or minimal string theory on a sphere. Reviewing the previous results on such four-point functions, we show logarithmic correlation functions of 'tachyons' in the Liouville sector, and its moduli integrals of the full correlation functions, in particular in the Majorana fermion model coupled to 2D gravity. Further discussions and related results are given in the final section.

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