The verb execute has 7 senses (first 3 from tagged texts)
1. (2) execute, put to death -- (kill as a means of socially sanctioned punishment; "In some states, criminals are executed")
2. (1) execute -- (murder in a planned fashion; "The Mafioso who collaborated with the police was executed")
3. (1) carry through, accomplish, execute, carry out, action, fulfill, fulfil -- (put in effect; "carry out a task"; "execute the decision of the people"; "He actioned the operation")
4. execute -- (carry out the legalities of; "execute a will or a deed")
5. run, execute -- (carry out a process or program, as on a computer or a machine; "Run the dishwasher"; "run a new program on the Mac"; "the computer executed the instruction")
6. perform, execute, do -- (carry out or perform an action; "John did the painting, the weeding, and he cleaned out the gutters"; "the skater executed a triple pirouette"; "she did a little dance")
7. execute -- (sign in the presence of witnesses; "The President executed the treaty")