A method for implementing interrupt requests in a computing system comprising a plurality of processing devices interconnected by a plurality of point-to-point links is provided. Boolean equivalence tools are used between an old spin ASIC design and a new ASIC design netlist, as well as between the new ASIC design netlist and a new re-spin ASIC design to obtain failing boundary storage gate elements and perform one or more of adding, deleting or modifying or renaming all failing boundary storage gate elements, so they pass correspondence tests. M and N are integers greater than one and M is not equal to N. At least the waste channel and preferably the product channel as well, use either an anion bead having a relatively low affinity for the selected anion specie to be retained or it is a blend with Type I materials. The diffraction grating is divided into separate areas. The collective message processing and the unified message accesses are realized by storing and managing messages from a plurality of message delivery servers in the message processing device that is unique to the user.