Disclosed is a pressure-sensitive adhesive for single- or double-sidedly tacky pressure-sensitive adhesive strips that are redetachable without residue or destruction both by extensive stretching substantially in the bond plane and by peeling. The pressure-sensitive adhesive is composed at least of (1) a vinylaromatic block copolymer, (2) a solid tackifying resin having a softening temperature by the ring-and-ball method of more than 30° C. and (3) a resin which is liquid at room temperature (23° C.), wherein the fraction of liquid resin accounts for at least 40% by weight, based on the total amount of resin. Also disclosed are strips formed from the adhesive and the use of the strips to form redetachable bonds.