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2. 3. 4. Reduce the number of states that need to be explored. Reduce the memory requirements needed for storing explored states. Use parallelism or distributed environment. Give up the requirement on completeness and explore only part of the state space. In the following we discuss these four types of approaches and for each of them we list examples of specific techniques. 1 State Space Reductions When we inspect some simple models and their state spaces, we quickly notice significant redundancy in these state spaces.

In this criterion, the path output depends on all the combinations of the path edges, also including the internal ones. A test input sequence is satisfied if and only if the path activation condition is satisfied for each edge value along the path. Formally, ∀p ∈ Pn , ∀e ∈ p, ∃t ∈ T : e ∧ AC (p) = true and not (e) ∧ AC (p) = true. The above criteria form a hierarchical relation: MCC satisfies all the conditions that ECC does, which also subsumes BC. 4 Extension of Coverage Criteria to when and current Operators The aim of this paper is to extend the above criteria in order to support the two temporal Lustre operators when and current, which handle the use of multiple clocks since this is the case for many industrial applications.

An example [4] of the use of clocks in Lustre is given in Figure 4. The Lustre node mux receives as input the signal m. Starting from this input value when the clock c is true, the program counts backwards until zero; from this moment, it restarts from the current input value and so on. 28 V. Papailiopoulou et al. node mux(m:int) returns (c:bool; y:int); var (x:int) when c; let y = if c then current(x) else pre(y)-1; c = true -> (pre(y)=0); x = m when c; tel; m x when current M1 y M2 − 1 pre ITE M5 M3 0 true = M4 c Fig.

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