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arXiv · 0706.0692

Probabilistic Interval Temporal Logic and Duration Calculus with Infinite Intervals: Complete Proof Systems

Dimitar P. Guelev
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Abstract

The paper presents probabilistic extensions of interval temporal logic (ITL) and duration calculus (DC) with infinite intervals and complete Hilbert-style proof systems for them. The completeness results are a strong completeness theorem for the system of probabilistic ITL with respect to an abstract semantics and a relative completeness theorem for the system of probabilistic DC with respect to real-time semantics. The proposed systems subsume probabilistic real-time DC as known from the literature. A correspondence between the proposed systems and a system of probabilistic interval temporal logic with finite intervals and expanding modalities is established too.

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Dimitar P. Guelev. 2007-07-19. Probabilistic Interval Temporal Logic and Duration Calculus with Infinite Intervals: Complete Proof Systems. https://doi.org/10.2168/lmcs-3(3%3A3)2007

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