Synthesis from Optimizing Contracts Sample Clauses

Synthesis from Optimizing Contracts. ∧ To solve Problem 3 for a contract C = (U, X, A, G, O), we can directly use SOLVEMAXMIN(M, U , X , φA φG, O, H) to find a trace in Gmax. However, finding such a trace is less straightforward for a contract that is obtained via cooperative or non-cooperative composition. Let C1 = (U1, X1, φA1, φG1, O1) and C2 = (U2, X2, φA2, φG2, O2) be con- × ⊗ ⊗ tracts specified for the composition between M1 and M2, written M1 M2. Because cooperative composition C1 ˆ C2 = (U, X, φA, φG, O) is an optimizing contract, we can generate a sequence xH satisfying it by calling SOLVEMAXMIN(M1 × M2, U , X , φA ∧ φG, O, H), where φG := φG1 ∧ φG2, φA := φG → (φA1 ∧ φA2), and O = (OT , OT )T . to implement SOLVEMAX and SOLVEMAXMIN. We address compatibility checking by calling SOLVE- MAX(M, V , φA, [], H). If there exists a solution trace, then C is compatible. Similarly, to check consistency, we call SOLVE- Non-cooperative composition C1 ˇ C2 requires, instead, the solution of two optimization problems to generate a trace satisfying the composite contracts, as shown in Algorithm 2. We find a trace vH in G1,max and vH in G2,max and concatenate
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