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"The Busy Beaver Problem: A New Millennium Attack" at the Rensselaer RAIR Lab. This effort found several new records and established several values for the quadruple formalization. Daniel Briggs' website archive and forum for solving the 5-state, 2-symbol busy beaver problem, based on Skelet (Georgi Georgiev) nonregular machines list.
In 1933, Radó published "On the Problem of Plateau" in which he gave a solution to Plateau's problem, and in 1935, "Subharmonic Functions". His work focused on computer science in the last decade of his life and in May 1962 he published one of his most famous results in the Bell System Technical Journal : the busy beaver function and its non ...
The halting problem (determining whether a Turing machine halts on a given input) and the mortality problem (determining whether it halts for every starting configuration). Determining whether a Turing machine is a busy beaver champion (i.e., is the longest-running among halting Turing machines with the same number of states and symbols).
The connection is made through the Busy Beaver function, where BB(n) is the maximum number of steps taken by any n state Turing machine that halts. There is a 27-state Turing machine that halts if and only if Goldbach's conjecture is false.
The problem with being too busy to read is that you learn by experience (or by your men's experience), i.e. the hard way. By reading, you learn through others' experiences, generally a better way ...
The decision variant of the Busy Beaver should probably be something like "Given a Number N, determine if any machine of a specified number of states exists that will stop after N steps for some input." Or perhaps also "Given a machine, decide if it is a busy beaver champion." As Σ is noncomputable, both questions should be undecidable.
“We can feel like we’re working faster or getting loads done when multitasking because it feels busy; we’re stimulated when we’re switching tasks. But in reality, it takes more time [and ...
A U.S. watchdog is suing Capital One for allegedly misleading consumers about its offerings for high-interest savings accounts — and “cheating" customers out of more than $2 billion in lost ...