| 〈let v1 = (S _ t4 _ t3 _ t1) .1 .1 .2, v2 = (S _ t4 _ t3 _ t1) .1 .2, v3 = (S _ t4 _ t3 _ t1) .2 in if value(v1) ∧ value(v2) ∧ value(v3) then tn0 := some(v1 _ v3 _ (v2 _ v3)) else tn0 := none〉 tn0 = none, 〈RED1(S _ t4 _ t3; tn2)〉 tn2 = some(t0), ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), m ≠ 0, t0 _ t1 ≠ t4 _ t1 _ (t3 _ t1), value(t4), value(t3), value(t1) ⊦ |
〈if value(v4) ∧ value(v0) ∧ value(v) then tn0 := some(v4 _ v _ (v0 _ v)) else tn0 := none〉 tn0 = none, 〈RED1(S _ t4 _ t3; tn2)〉 tn2 = some(t0), ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), m ≠ 0, t0 _ t1 ≠ t4 _ t1 _ (t3 _ t1), value(t4), value(t3), value(t1), v = (S _ t4 _ t3 _ t1) .2, v0 = (S _ t4 _ t3 _ t1) .1 .2, v4 = (S _ t4 _ t3 _ t1) .1 .1 .2 ⊦
[[CONCRETESIMPRULES : ()]]