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Probabilistic neighbourhood logic. (English) Zbl 0986.03025

Joseph, Mathai (ed.), Formal techniques in real-time and fault-tolerant systems. 6th international symposium, FTRTFT 2000, Pune, India, September 20-22, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1926, 264-275 (2000).
Summary: This paper presents a probabilistic extension of Neighbourhood Logic (NL). The study of such an extension is motivated by the need to supply the Probabilistic Duration Calculus (PDC) with a proof system. The relation between the new logic and PDC is similar to that between DC and ITL. We present a complete proof system for the new logic.
For the entire collection see [Zbl 0947.00042].

MSC:

03B70 Logic in computer science
68Q45 Formal languages and automata
03B48 Probability and inductive logic
03B45 Modal logic (including the logic of norms)
03D05 Automata and formal grammars in connection with logical questions