Final answer:
Acids like HI and formic acid can act as powerful reducing agents, with their conjugate bases accepting protons and undergoing reduction. Other examples of strong acids that can act as reducing agents include HBr and HCl, although they are weaker reducers than HI and formic acid. It is possible for there to be strong bases and strong oxidizing agents that do not have a conjugate acid form, but these compounds are less common in general chemistry.
Step-by-step explanation:
Acids like HI and formic acid can act as powerful reducing agents. However, you are looking for other examples besides these. There are indeed other strong acids that can act as reducing agents, such as HBr and HCl. These acids have conjugate bases (Br- and Cl-) that are able to accept protons and undergo reduction.
However, it is important to note that these acids are weaker reducers compared to HI and formic acid. Interestingly, there are also strong bases and strong oxidizing agents that do not have a conjugate acid form, meaning they do not have a counterpart that can act as a reducing agent.
These types of compounds may exist, but they are not commonly studied or encountered in general chemistry.