Löb grew up in Berlin, but escaped from the Third Reich, arriving in the UK just before the outbreak of the Second World War.
As an enemy alien, he was deported on the Dunera to an internment camp at Hay in Australia in 1940, where the 19-year-old Löb was taught mathematics by other internees.
Löb was allowed to return to the UK in 1943, and he studied at the University of London after the War.
He completed his PhD and became an assistant lecturer at the University of Leeds in 1951, where he was to remain for 20 years, becoming a Reader and ultimately Professor of Mathematical Logic from 1967 to 1970.
He developed the mathematical logic group at Leeds, making it one of the leading centres in the UK.