Tag

Halting Problem

All articles tagged with #halting problem

Chasing the Longest-Running Simple Computer Program

Originally Published 3 months ago — by WIRED

The article discusses the ongoing challenge in theoretical computer science to determine the values of busy beaver numbers, which grow unimaginably large and are linked to the halting problem. Recent discoveries have pushed the known lower bounds for BB(6) to extraordinary levels, involving operations like tetration and pentation, highlighting the complexity and the collaborative efforts in this field. The quest continues, with some problems related to busy beaver machines connected to unsolved mathematical conjectures.

technology science busy-beaver halting-problem large-numbers science theoretical-computer-science turing-machines

Busy Beaver Hunters Achieve Unimaginable Numbers

Originally Published 4 months ago — by Quanta Magazine

Researchers and enthusiasts have pushed the boundaries of the busy beaver problem, discovering that the numbers involved grow faster than any notation can handle, with the latest lower bounds on BB(6) reaching unimaginably large values expressed through advanced mathematical operations like pentation, highlighting the profound complexity and ongoing challenge of understanding these extreme computational processes.

science science busy-beaver-numbers computational-complexity halting-problem large-numbers science turing-machines