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Tyrese 's decision NOT to keep his 4 Cane Corso dogs under surveillance has come back to bite him ... Atlanta PD say his brutes are dog-killers!!!

Fulton County Police Animal Services Captain Nicole Dwyer announced on Monday that the R&B star/'Fast & Furious' staple had a warrant out for his arrest for animal cruelty.

Dwyer told local Atlanta media WSB-TV that they had received a call on September 18 from a neighbor who let his dog out at night ... only to find it dead on the ground minutes later from a clear-cut animal attack. Gallery Launch Gallery Getty

According to Dwyer, he was warned multiple times about his Cane Corso's prowling the neighborhood ... “It is the negligence on his part as the homeowner and animal owner, just letting them roam free,” Dwyer sai

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