Perspex machine III: continuity over the Turing operations

James A. D. W. Anderson

doi:10.1117/12.580665

17 January 2005 Perspex machine III: continuity over the Turing operations

James A. D. W. Anderson

Proceedings Volume 5675, Vision Geometry XIII; (2005) https://doi.org/10.1117/12.580665
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

The perspex machine is a continuous machine that performs perspective transformations. It is a super-Turing machine that contains the Turing machine at discrete locations in perspex space. We show that perspex spaces can be constructed so that all of the operations in a Turing program lie in a continuum of similar operations in the space, except for the Turing halt which is always a discontinuous operation. We then show how to convolve a Turing program to produce an isolinear program that it is robust to missing instructions and degrades gracefully when started incorrectly, sometimes even recovering in performance. We hypothesize that animal brains are similarly robust and graceful because animal neurons share the geometrical properties of the perspex machine. Furthermore, convolution of Turing programs makes possible the band-pass filtering and reconstruction of programs. Global processing can then be obtained by executing the broad bands before the finer ones. Hence, any existing computer program can be compiled on a perspex machine to make it global in operation, robust to damage, and degrade gracefully in the presence of error. The three “Holy Grails” of AI -- globality, robustness, and graceful degradation -- can be supplied by a compiler. They do not require specific programming in individual cases because they are geometrical properties of the perspex machine.

Citation Download Citation

James A. D. W. Anderson "Perspex machine III: continuity over the Turing operations", Proc. SPIE 5675, Vision Geometry XIII, (17 January 2005); https://doi.org/10.1117/12.580665

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available