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**1 - 4**of**4**### Non-null Infinitesimal Micro-steps: a Metric Temporal Logic Approach

, 2012

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### Automated Deductive Analysis Of Time Critical Systems Based On Methodical Formal Specification

"... The paper [CH85] presents a mathematical model of real time systems behavior, suitable for requirements specification, analysis and proof of properties. Content. Time is considered, almost always, a discrete set, but it may be uncountable (a the set R). Events (as sequence of occurrences of a certai ..."

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The paper [CH85] presents a mathematical model of real time systems behavior, suitable for requirements specification, analysis and proof of properties. Content. Time is considered, almost always, a discrete set, but it may be uncountable (a the set R). Events (as sequence of occurrences of a certain event) are modeled by a function time from N to Time. This function binds the i-th occurrence of an event to its time of occurrence, and it has some restrictions (increasing ...). More than one occurrence at the same time of an event are allowed. Moreover the non Zeno requirement is modeled by a simple requirement of this function ( lim n!1 time(e)(n) = +1). This requirement prevents an event from occurring in nitely often during a finite delay. Variables are introduced. They are piecewise constant, because their assignment to a value is an event. Periodic events (with fixed and variable period) are defined as well. They define counters of events too. There are counters of two types: lcoun...