We need a language to read a book, and that affects our thought process, as we start thinking like the author and behave in a manner we perceive from the books. Like how someone speaks under the influence of alcohol, books n authors too influence.
Sawdust that is created from cutting natural wood is safe for your compost no matter what kind of tree the wood comes from. Just make sure the wood has not been treated with any chemicals. Another option with sawdust is to try mixing it in with potting soil.
About Oak Sawdust for Mulch. Oak sawdust is readily available as a lumber industry waste material. Mulching helps to reduce evaporation and to decrease erosion when used around woody landscape plants and in vegetable and flower gardens. It can also improve the soil quality and help reduce the risk of weed overgrowth.