NOVELTY - The system comprises a working surface (310) for supporting a compost biomass pile (30), an aeration vault forming system (320) positioned on an upper surface of the working surface, a pump connectable to the aeration vault forming system, and a wall positioned at an end of the aeration vault forming system and having an passageway by air able to flow through the passageway and into the aeration vault. The aeration vault forming system: forms an aeration vault in a lower portion of the compost biomass pile allowing aeration of the compost biomass pile.    USE - The system is useful for generating compost for converting organic wastes such as garden waste, bio-solids, agricultural waste, municipal solid waste into useful products.    ADVANTAGE - The system is light weight and easy to use, is capable of economically and rapidly generating the compost with reduced evaporative drying of the compost biomass pile thus effectively improving the disposal and beneficial re-use of organic wastes and without odor emission, and provides the sufficient oxygen and temperature levels in the biomass thus maintaining aerobic conditions of the microbes during the compost generation.    DETAILED DESCRIPTION - The system comprises a working surface (310) for supporting a compost biomass pile (30), an aeration vault forming system (320) positioned on an upper surface of the working surface, a pump connectable to the aeration vault forming system, and a wall positioned at an end of the aeration vault forming system and having an passageway by air able to flow through the passageway and into the aeration vault. The aeration vault forming system: forms an aeration vault in a lower portion of the compost biomass pile allowing aeration of the compost biomass pile; has an elongated, tubular configuration, and a square-like configuration at its lower surface to enhance stability during deployment of the forming system; comprises an inflatable elongated tubular sleeve, a guide tube (330) enclosing an end portion of the elongated tubular sleeve, a vaulted ceiling having a structural arch shape, and aeration ports arranged along a length of the elongated tubular sleeve to distribute air into the compost biomass pile when the aeration vault forming system is inflated; is positioned in a channel provided on an upper surface of the working surface and shrinks down into the channel when the aeration vault forming system is deflated; and is connected to a pressure maintenance device maintaining fluid pressure of 0.5-5 psi. The elongated tubular sleeve has a cross-section that is reduced in size to be smaller than an internal diameter of the tube. An end of the aeration vault is connected to a forced air aeration system to allow induced aeration and passive aeration to take place within the composting system. Each of the aeration ports comprises a one-way check valve preventing movement of gas into the aeration vault forming system.    DESCRIPTION OF DRAWING(S) - The diagram shows a perspective view of a compost generating system.    Compost biomass pile (30)    Working surface (310)    Aeration vault forming system (320)    Guide tube (330)    Inflatable form. (340)