(IEEE) (1) The arrangement of a computer system or component as defined by the number, nature, and interconnections of its constituent parts. (2) In configuration management, the functional and physical characteristics of hardware or software as set forth in technical documentation or achieved in a product.
Inc. after a company name means that the business in question has incorporated within its home state. Status as a C-corporation or an S-Corporation depends on tax filings with the Internal Revenue Service. Incorporation produces a separate entity -- in essence a fictional person created by law.
'co' isn't an actual term nor a type of company. 'corp' is an abbreviation that isn't an actual term nor a type of company. 'Inc' is just short for 'incorporated' but the abbreviation is not a type of company. all of the above refer to a corporation. 'ltd' is mainly UK only. 'llc' is a limited liability company. The best type to use is the one that fits your requirements for your specific business situation.