Step 1: Determine the initial oxidation states. In \({H}_2{O}\), hydrogen has an oxidation state of +1, and oxygen has -2. In \({F}_2\), fluorine is 0 because it is a diatomic molecule.
Step 2: Determine the final oxidation states. In \({HF}\), hydrogen remains at +1, and fluorine is -1. In \({HOF}\), hydrogen is +1, oxygen is -2 (like in water), and fluorine is -1.
Step 3: Analyze the changes in oxidation states. Hydrogen's oxidation state does not change (+1 in all compounds). Fluorine's oxidation state changes from 0 in \({F}_2\) to -1 in \({HF}\) and \({HOF}\), indicating reduction. Oxygen's oxidation state does not change in this reaction.
Step 4: Conclusion. Since fluorine's oxidation state decreases, it is reduced. Oxygen and hydrogen do not undergo any redox changes in terms of oxidation states in this particular reaction.