A compound of formula (I):(see formula I)wherein: m is 0, 1 or 2, wherein when m=0, ----(X(R2)m')m ---- is none so asto forma single bond; n is 0, 1 or 2, wherein when n=0, ----(Y(R7)n')n ---- is noneso as toform a single bond; m' and n' are independently 0, 1 or 2; X is a carbon atomor S orN; Y is a carbon atom, or S or N; provided m and n are not simultaneously 0; ------is either a single or double bond, as appropriate; ------ is either none or asinglebond, as appropriate; R1 is H, ON, Hal, OAlk, OH, NRCN, C(CN)=C(OH)(OAlk), SR,NRR', (Alk)p-C(O)NRR', heterocycle, aryl, or heteroaryl, R3, R4, R5, R6 areeachidentical or different and are independently H, OAlk, Alk, Hal, NRR', ON, OH,CF3,aryl, or heteroaryl; R2 is H, O, OH, N-OH, N-Aryl, N-OAlk, N-O-Aryl, N-O-Alk-Aryl, N-NR-CONRR' or N-O-CO-Alk, or two R2 bound at the same X form together with thatX a heterocycle; and where p is 0 or 1; R7 is H, O, OH, N-OH, N-OAlk, N-O-Aryl, N-O-Alk-Aryl, N-NR-CONRR', or N-O-CO-Alk, or two R7 bound at the same Y formtogether with that Y a heterocycle; R and R' are each identical or differentand areindependently H, Alk; their process of preparation and their therapeutic usesasinhibitors of cysteine proteases.