Is the word 'real' synonymous with 'exists' in Buddhist doctrine?

Are these two words synonymous? Is everything that exists, real? Is everything real, an existent? What is a proper relationship between the words "real" and "exists" in the context of Buddhist doctrine? What is a proper definition of "real" and of "exists" in the context of Buddhist doctrine? Are dreams real? Do they exist? Are illusions real? Do they exist? Are chairs real? Do they exist? Are persons real? Do they exist? Is the son of a barren woman real? Do they exist? Is there anything that is real, but does not exist? What do we *really* mean when we say something is real? Pun intended.