By Tatashev A. G.
Desk bound chances of the states of a single-server procedure with Markov inputflow, inverse carrier self-discipline, and interruption are decided below the belief that theinterrupted client is served anew together with his preliminary carrier length.
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Extra info for A MAP|G|1|n System of Inverse Service Discipline and Resumption of Service of an Interrupted Customer with His Initial Duration
P6. P7. P8. [α α ]ϕ ↔ [α]ϕ ∧ [α ]ϕ [α]ϕ → [α α ]ϕ P(∅) P(α β) ↔ P(α) ∧ P(β) P(α) ∨ P(β) → P(α β) ¬Pw (∅) Pw (α β) ↔ Pw (α) ∨ Pw (β) Pw (α β) → Pw (α) ∧ Pw (β) P1 says that, if after executing α or β, ϕ is true, then ϕ is true after executing α and after executing β. P2 says that parallel composition preserves postcondition properties. ). P4 and P5 are similar to P1 and P2 but for strong permission. P6, P7 and P8 are the dual properties for the weak permission. , there is no (allowed) way of executing it.
Thus, there was a need for an approach that could tackle the temporal verification of parameterised systems in a complete and decidable way. This was achieved for a wide class of parameterised systems using monodic temporal logic . Definition 1. A FOTL formula is said to be monodic if, and only if, any subformula with its main connective being a temporal operator has at most one free variable. , contains at most one free variable. For example, the formulae ∀x. ∃y. P (x, y) and P (x, y)) is not monodic.
Combining dynamic deontic logic and temporal logic for the speciﬁcation of deadlines. In: Proceedings of the thirtieth HICSS (1997) 12. : The paradoxes of deontic logic revisited: A computer science perspective. Technical Report UU-CS-1994-38, Utrecht University (1994) 13. : Contrary-to-duty obligations. In: DEON 1994. Proc. Second International Workshop on Deontic Logic in Computer Science (1994) 14. : Deontic logic: A concise overview. In: First International Workshop on Deontic Logic (DEON 1991) (1991) 15.