They've certainly got the credentials for post-punk immortality, born out of X-Ray Spex and feature the counter-intuitive use of a honking saxophone on most of their tracks, Essential Logic were one of those bands that coagulated around Rough Trade in 1979, when it was at the vanguard of all things post-punk.
Their 1981 single Fanfare In The Garden is an absolutely stormer of a tune and I'd argue is far better than their most well known and celebrated track, Aerosol Burns.
mp3---> Essential Logic - Fanfare In The Garden (via box.net)