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A note on unbounded metric temporal logic over dense time domains. (English) Zbl 1112.03015

This is a sequel of a previous paper by the same authors [see S. Baratella and A. Masini, “An infinitary variant of metric temporal logic over dense time domains”, Math. Log. Q. 50, No. 3, 249–257 (2004; Zbl 1049.03015)]. The consequences of removing the infinitary axiom and rules for a fragment of this logic are considered and discussed.

MSC:

03B45 Modal logic (including the logic of norms)
03F05 Cut-elimination and normal-form theorems

Citations:

Zbl 1049.03015
Full Text: DOI

References:

[1] Baratella, Math. Logic Quarterly 50 pp 249– (2004)
[2] Temporal and modal logic. In: Handbook of Theoretical Computer Science. Vol. B: Formal Models and Semantics (J. van Leeuwen, ed.), pp. 995–1772 (Elsevier, 1990).
[3] Montagna, Math. Logic Quarterly 46 pp 171– (2000)
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