ACR X NON COMPLIANCE WITH ATC INSTRUCTION. UNAUTH RWY ENTRY. RWY INCURSION.

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ACR X HOLDING SHORT OF THE ACTIVE RWY (RWY 9-27) ON TXWY L WHEN WE CALLED FOR 'TAXI FOR TKOF' (SEE X ON DIAGRAM). SWF GND CLRED US TO 'TAXI TO' RWY 9. WE CROSSED RWY 9 AND JOINED THE E W PARALLEL TXWY (TXWY A) AND PROCEEDED TO THE APCH END OF RWY 9. WHILE WBOUND ON TXWY A; SWF GND NOTIFIED US THAT WE DID NOT HAVE CLRNC TO CROSS RWY 9. WE ROGERED THE MESSAGE AND CONTINUED. IN OUR SIT; THE SWF GND CLRNC OF 'TAXI TO' WAS INAPPROPRIATE. IF SWF GND WANTED US TO REMAIN HOLDING SHORT OF THE ASSIGNED RWY 9; HE SHOULD HAVE STATED 'HOLD SHORT OF RWY 9' OR IF HE WANTED FOR US TO PULL UP CLOSER TO THE HOLD SHORT LINE; HE SHOULD HAVE STATED SO. OUR CREW IS FAMILIAR WITH THE MEANING OF THE ATC TAXI CLRNC AS DESCRIBED IN THE AIRMAN'S INFO MANUAL AND COMMERCIAL MANUAL (ATC SECTION 4-68A(5)) AND UNDERSTAND THAT IT DOES NOT INCLUDE TAXIING ACROSS THE ASSIGNED RWY; BUT IN THIS SIT IT IS INAPPROPRIATE AT BEST. WE ARE ALREADY HOLDING SHORT OF THE ASSIGNED RWY AND WE CAN EITHER TAXI ACROSS OR REMAIN HOLDING SHORT OF THE RWY. WE BELIEVE THAT THIS MISUNDERSTANDING COULD HAVE BEEN REMEDIED BY USE OF THE HIGHLY ENCOURAGED ATC PHRASE OF 'HOLD SHORT.' WE WOULD THEN BE REQUIRED TO ACKNOWLEDGE RECEIPT OF THIS CLRNC. WE DON'T BELIEVE THAT FAMILIARITY OF EACH OTHERS OP OR THE WX WAS A FACTOR BY EITHER SWF GND OR OUR CREW IN THIS INCIDENT. IN AN ERA OF ACCIDENTS/INCIDENTS INVOLVING RWY INCURSIONS; IT IS IMPERATIVE THAT NO ATC CLRNC BE MISUNDERSTOOD AND IT SHOULD BE HIGHLY ENCOURAGED FOR ATC TO USE CLRNCS THAT WILL PROVIDE A CLR PICTURE OF WHAT IS DESIRED; SUCH AS 'HOLD SHORT.' THE CLRNC GIVEN BY SWF GND DID NOT GIVE A CLR PICTURE OF WHAT OUR CREW THOUGHT WAS DESIRED. IF WE HAD NOT BEEN HOLDING SHORT OF THE ASSIGNED RWY AND WERE LOCATED ELSEWHERE ON THE ARPT; THE ATC TAXI CLRNC MAY HAVE BEEN MORE APPROPRIATE. WHEN OUR CREW RECEIVED THE TAXI CLRNC; WE ALL BELIEVED THAT SWF GND INTENDED FOR US TO TAXI ACROSS THE RWY.