Parallel Compositionality T1,r1,g2)s(S1R1,G1 ≤(S,R 2 21 G2 g1r22r1G1cR2G2∈R1 (PAR) 12,1Qr2, 8182)<(S,IS2,RR2, G1UG2Parallel Compositionality (T1 ||T2 , r1r2 , g1g2 ) ≲ (S1 ||S2 , R1R2 , G1G2 ) (T2 , r2 , g2 ) ≲ (S2 , R2 , G2 ) (T1 , r1 , g1 ) ≲ (S1 , R1 , G1 ) g1  r2 g2  r1 G1  R2 G2  R1 (PAR)