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**A distinguishable model theorem for the minimal \(\text{US}\)-tense logic.**
*(English)*
Zbl 0843.03007

Summary: A new concept of model for the US-tense logic is introduced, in which ternary relations of betweenness are adjoined to the usual early-later relation. The class of these new models, which contains the class of Kripke models, satisfies, contrary to that, the Distinguishable Model Theorem, in the sense that each model is equivalent to a model in which no two points verify exactly the same formulas.

### MSC:

03B45 | Modal logic (including the logic of norms) |

### Keywords:

distinguishable model theorem; US-tense logic; ternary relations of betweenness; Kripke models### References:

[1] | Segerberg, K., An Essay in Classical Modal Logic , Uppsala, 1971. · Zbl 0311.02028 |

[2] | Xu, M., “On some U,S-tense logics,” Journal of Philosophical Logic , vol. 17 (1988), pp. 181–202. · Zbl 0648.03010 · doi:10.1007/BF00247911 |

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