1. Give a description (in English) of what it means for a word w to be a minimal element under , and what it means for a word w ′ to be a maximal element under 2. programming required) Write a program...

1. Give a description (in English) of what it means for a word w to be a minimal element under , and what it means for a word w ′ to be a maximal element under

2. programming required) Write a program that, given a word w, finds all immediate successors of w. (You can find a dictionary of English words on the web, or /usr/share/dict/words on Unix-based operating systems.) Report all immediate successors of GRAMPS using your dictionary.