By Cruz F. R., Mateus G. R., Smith J. M.
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Additional resources for A Branch-and-Bound Algorithm to Solve a Multi-level Network Optimization Problem
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4 5 6 Since AsB and As¬B both originate from the same assumption function As, it holds that AsB (ϕ) = ⊥ ⇐⇒ As¬B (ϕ) = ⊥. Notice that when working on ϕk we have already calculated As for all of its subformulas. t. (s, s ) ∈ R yes . MB → in1 33 This theorem states that if we run the algorithm on a full program, with an empty assumption function, the resulting function will give us full knowledge about which formulas in cl(ψ) hold in the initial states of the program according to the standard semantics of CT L.