LR60 DEP RWY 4 AT LGA WAS ISSUED ATC ABORT WHEN ACR LNDG RWY 31 DID NOT EXIT BEFORE RWY INTXN AS EXPECTED.

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LEAR WAS CLRED FOR TKOF RWY 4 AT LGA. PWR HAD BEEN SET WITH AIRSPD APCHING 80 KTS. PF (CAPT; L SEAT) OBSERVED ACFT APCHING INTXN RWY 4/31 AFTER LNDG ON RWY 31. PF STATED 'WE ARE LIKELY TO HAVE A PROB.' ACR WAS IN INTXN RWY 4/31 AS LGA TWR CALLED 'TKOF CLRNC CANCELED.' ABORT INITIATED ABOUT 90 KIAS; USED MAX REVERSE THRUST AND LESS THAN MODERATE WHEEL BRAKING. LEAR CLRED RWY 4 AT TXWY E; ACR CLRED RWY 31 AT TXWY AA. LEAR RE-SEQUENCED #9 FOR TKOF; SUBSEQUENT DEP NORMAL. NO PAX ON BOARD LEAR; LIGHT WT (FUEL FOR REPOS TO HPN). LESS THAN MODERATE WHEEL BRAKING; EXTENDED TIME FOR RE-TKOF CLRNC. DID NOT REQUIRE BRAKE/TIRE INSPECTION. AFTER LNDG HPN; CALLED LGA TWR SUPVR; 'TWR CTLR EXPECTED ACR TO CLR RWY 31 PRIOR TO RWY 4; SAW IT WAS NOT GOING TO HAPPEN CANCELED TKOF CLRNC OF LEAR; NO RWY INCURSION; NO LOSS OF SEPARATION; TWR CTLR DID A GOOD JOB.' I AM NOT SO SURE OF THE NO INCURSION/NO LOSS OF SEPARATION/GOOD JOB. IF LEAR HAD CONTINUED TKOF WITHOUT CANCELED TKOF CLRNC OR ABORT; ACR WOULD HAVE BEEN JUST CLR OF RWY 4 BUT NOT YET 'CLR OF RWY 31 AT TXWY AA.' FLT CONDUCTED UNDER FAR 91.