The SLL was part of the International Committee of the Fourth International (ICFI).
This reflected growing differences, primarily over the OCI's support for the Partido Obrero Revolucionario (POR) and the SLL's emphasis on Marxist philosophy in the training of its newer members.
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After the Workers' Revolutionary Party left the ICFI in 1985, WRP secretary Cliff Slaughter also repudiated the investigation.
Kemp also played a central role in the theoretical work of the International Committee of the Fourth International, and co-edited the Fourth International Journal.
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In 1953, Healy joined the split in the Fourth International instigated by James P. Cannon and was soon nominal leader of the International Committee of the Fourth International.