Excerpt from Extensions and Corollaries of Recent Work on Hilbert's Tenth Problem: June 1961 Abstract: The theorem that every recursively enumerable set is exponential Diophantine is improved; a sharp for is a given of Kleen's normal form theorem, a problem of Quine is proved recursively unsolvable. "Qualified requestors may obtain copies of this report from the Astia Document Service Center, Arlingtong Hall Station, Arlingtong 12, Virginia. Department of Defence contractors must be established for Astia service, or have their "need-to-know" certified by the cognizant military agency of their project or contract." About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.