Aerobic composting uses oxygen to fuel the reactions of chemicals and microbes in the organic material. It is also known as ‘hot composting’, as heat is a byproduct of the decomposition process. Heat shows that there is a lot of activity and that the microbes are working and reproducing rapidly.
We have a few aerobic ways of processing organic materials into good stuff. You can find them through these links –
There are ways to compost without oxygen, these are known as anaerobic (without oxygen). We have a page on these here –