While I respect some of the above posts trying to differentiate between AIR and AIC based on ‘definitions’ but it must be accepted that in the industry (in the USA), the both terms are used interchangeably and even together. Just look up catalogs of leading manufactures such as Square D, Cutler Hammer or Square D. While term Interrupting Rating is more frequently used for breakers and even defined by NEC, terms such as Interrupting Capacity Rating are also found. Now this may not be acceptable to purists, the point is the answer to the original question is ‘Yes’ for all ‘practical’ purposes as it specifically refers to circuit breakers.
The term AIC (or kAIC) usually been used for specifying Short Circuit withstand rating now being replaced by SCCR in the USA. You will find the ‘AIC’ in abundance in the specifications and shop drawings of the switchboards, bus bracings, etc. and is well accepted by contractors, engineers and manufacturers. Mind you I am only talking about the practices in the USA in the A/E consulting engineering firms.
Please don't get me wrong, I do appreciate all attempts to promote technical 'correctness' in our business but can't be adamant about it.
(Recall 3-way switch? Try specifying a 'single pole double throw' switch and see how many RFI , (Request for Infromation)' you get from the contractors in the USA).