"[The sin] shall surely be avenged"-Exodus 21:20.
Transgressors of certain sins are to be executed via decapitation.
"He shall be put to death"-Exodus 21:16.
Transgressors of certain sins are to be executed via strangulation.
"And you shall hang him on a wood[en pole]"-Deuteronomy 21:22.
We are commanded to hang the corpses of certain criminals executed by the courts. (See Negative Commandment 66.)
"You shall surely bury him on the same day"-Deuteronomy 21:23.
We are commanded to bury those executed by the courts on the same day of their execution.
The same applies to all dead-every Jewish deceased must be buried on the day of the passing. (This is why a person who died with no one to care for his interment is called a "met mitzvah" (a "mitzvah corpse"), because it is a mitzvah on everyone to ensure that he is buried.)
"His body shall not remain all night upon the tree"-Deuteronomy 21:23.
It is forbidden to leave a corpse that was hung by the courts hanging overnight.
This because only two offenses are punishable by hanging [post execution]: idolatry and blaspheme. As such, someone seeing the hanging corpse might contemplate the reason why the individual was hanged, and will come to blaspheme G-d in his thoughts.
[This prohibition also includes leaving any Jewish corpse unburied overnight, unless the delay in the internment is in honor of the deceased; e.g., to allow time for relatives to arrive for the funeral.]
