Wordnim and Grundyword

An interesting two-person game begins by choosing any set of words - say, for example, O, HIP, LLAMA, and PIASTER. Players alternately remove one or more letters from exactly one of the four words (all the letters in a word can be removed). Both the deleted letters and those remaining in the player\u27s chosen word must be transposable into words themselves. The game ends when a player cannot make a legal move; the other player is the winner