In his speech about Laius' murder, what does Oedipus vow to do?

In his speech about Laius' murder, Oedipus vows to search for and punish the murderer. This commitment reflects his determination to uphold justice for the previous king of Thebes, Laius, and to rid the city of pollution caused by the crime. Oedipus’ strong conviction in pursuing the truth is a central theme in the play, showcasing his character as a proactive leader who believes in taking responsibility for the welfare of his people. His pledge to find the culprit indicates his moral obligation to cleanse Thebes and his desire to protect his subjects from further misfortune. This action is crucial, as it sets in motion the events that lead to the tragic unfolding of his own fate, revealing his unwitting role in the very crime he seeks to solve.