ATCT GND CTLR INCORRECTLY CLRED A PASSENGER JET TO HOLD SHORT OF THE WRONG PARALLEL RWY WHICH CAUSED A CONFLICT WITH A LNDG COMMUTER.

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I AM AN ATC AT DFW. I WAS WORKING GND CTL W. DFW WAS N FLOW. ACR X (MECHANIC RELOCATING ACFT) CALLED TO GO FROM THE ACR X HANGAR TO THE RAMP AT TERMINAL XY. I INSTRUCTED ACR X TO HOLD SHORT OF RWY 36R. I SAID RWY 36R BY MISTAKE. I SHOULD HAVE SAID RWY 36L. ACR X CROSSED RWY 36L AT TXWY WK AT THE TIME ACR Y (E120) WAS LNDG ON RWY 36L. THERE WAS NO EVASIVE ACTION TAKEN. THERE SHOULD NOT EVER BE ANY IMPLIED CROSSING APPROVAL TO ACFT. THERE SHOULD ALWAYS BE A REQUIREMENT TO STATE 'CROSS RWY.' CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATED HE WAS NOT LISTENING CAREFULLY. HE SHOULD HAVE HEARD THE PLT'S READBACK. HE SAID IT WAS NOT VERY BUSY AT THE TIME AND HE HAD ONLY BEEN ON THE POS ABOUT 20 MINS WHEN THE INCIDENT OCCURRED. THE PLT IN THE LNDG ACFT CALLED ATTENTION TO THE CROSSING ACFT TO LOCAL CTLR. HE SAID THE CONFLICT ALERT WENT OFF ABOUT THE SAME TIME ON TWO ACFT ON THE FINAL CAUSING SOME DISTRACTION. RPTR BELIEVES IMPLIED CROSSINGS SHOULD BE PROHIBITED AND THAT A SPECIFIC CLRNC SHOULD BE REQUIRED TO CROSS EACH RWY.