CAPT OF AN MD88 FAILED TO STOP ON TXWY AFTER LNDG BEFORE ENTERING ANOTHER TXWY SINCE NO ACTUAL CONTACT WITH THE TWR GND CTLR HAD BEEN ESTABLISHED.

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WE HAD JUST LANDED ON RWY 17C AT DFW. WE WERE CLRED TO CROSS RWY 17R ON TXWY B; AND AN ACR Y FLT WAS CLRED TO CROSS RWY 17R ON TXWY A; JUST S OF OUR POS. AFTER XING THE RWY AND AS WE SWITCHED TO GND CTL; THE ACR Y FLT HAD ALREADY CHKED IN WITH DFW GND CTL AND WAS TOLD TO GIVE WAY TO A COMMUTER TAXIING E ON TXWY A WHO WOULD JOIN TXWY K. HE SAID TO FOLLOW THE ACR X JET ON TXWY A; WHICH WAS US; AND TAXI TO PARK ON TXWY K. WE TRIED TO ACKNOWLEDGE TO DFW GND CTL THAT WE HAD RECEIVED HIS INSTRUCTIONS; BUT OUR CALL WAS BLOCKED AND THE GND CTLR CHOSE TO TALK TO A FLT FURTHER N. AS THERE WERE NO OTHER ACFT IN THE VICINITY EXCEPT FOR THE ACR Y WHO WAS INSTRUCTED TO FOLLOW US AND THE COMMUTER; WE JOINED TXWY K BEHIND THE COMMUTER PER THE CTLR'S INSTRUCTIONS. THE CTLR THEN DEMANDED TO KNOW WHO THE JET WAS ON TXWY K. WE RESPONDED WITH OUR FLT NUMBER AND TOLD HIM OUR CALL WAS BLOCKED BUT HAD RECEIVED HIS INSTRUCTIONS. HE TOLD US WE WERE ON 'HIS TXWY' AND WE SHOULD HAVE TALKED TO HIM FIRST. WE EXPLAINED THAT WE RECEIVED HIS INSTRUCTIONS BUT HE SAID THAT IT DID NOT MATTER. MY UNDERSTANDING IS THAT IT IS THE GND CTLR'S DUTY TO PROVIDE SAFE AND EFFICIENT FLOW OF GND TFC. RATHER THAN STOPPING ON TXWY B AND CAUSING THE ACR Y FLT NEXT TO US WHO HAD ALREADY RECEIVED INSTRUCTIONS TO STOP; AND POSSIBLY PREVENTING ACFT BEHIND US ON TXWY B FROM XING RWY 17R; WE FELT IT WOULD BE PROPER FOR US TO CONTINUE TAXIING PER THE CTLR'S INSTRUCTIONS. IN MY OPINION HE SHOULD HAVE ISSUED US A CLRNC IMMEDIATELY AFTER ACR Y TO ENSURE THE FLOW OF TFC. I WOULD NEVER KNOWINGLY TAXI WITHOUT A CLRNC AND DID NOT FEEL LIKE I WAS DOING SO.