Encoding the Specification Sample Clauses

Encoding the Specification. ‌ The LTL encoding algorithm has to provide techniques to encode the follow- ing kinds of LTL formulae: • atomic propositions • logical connectives (∨, ∧, ¬) • Globally operator (G) • Finally operator (F) • Next-state operator (X) • Until operator (U) For each of these operations, RTT-MBT uses the propositional encoding discussed in [BHJ+06]. Given that the semantics of an LTL formula is spec- ified over single executions, it is straightforward to implement these encod- ings. ∨ ≥ ∨ ≥ ≥ ≤ ≤ Example Consider the LTL formula ϕ = G(x = 0 y 0), which states that in any reachable state, at least one of the atomic propositions x = 0 and y 0 must hold. For each unrolling step 0 i k, let xi and yi denote the state of x and y. Then, for each single step, the property is specified as (xi = 0 yi 0). Since the atomic proposition is required to hold globally, the LTL property ϕ is simply encoded as: . k encode(ϕ, 0, k) = (xi = 0 ∨ yi ≥ 0)
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