Narrative:

We received takeoff clearance, established takeoff thrust, and around 40 KTS, we could see an airbus had failed to hold short of runway 4. So, we aborted takeoff and cleared runway 4 at taxiway Y, per ATC instructions. Airbus appeared to be crossing at taxiway G or taxiway P, right to left.

Google
 

Original NASA ASRS Text

Title: A319 CREW ABORTED TKOF AFTER AN ACR ACFT TAXIED ONTO THE TKOF RWY ON RWY 4 AT LGA.

Narrative: WE RECEIVED TKOF CLRNC, ESTABLISHED TKOF THRUST, AND AROUND 40 KTS, WE COULD SEE AN AIRBUS HAD FAILED TO HOLD SHORT OF RWY 4. SO, WE ABORTED TKOF AND CLRED RWY 4 AT TXWY Y, PER ATC INSTRUCTIONS. AIRBUS APPEARED TO BE XING AT TXWY G OR TXWY P, R TO L.

Data retrieved from NASA's ASRS site as of July 2007 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.