Busy beaver sets: Characterizations and applications
نویسندگان
چکیده
منابع مشابه
Recombinations of Busy Beaver Machines
Many programmers belive that Turing-based machines cannot think. We also believe in this, however it is interesting to note that the most sophisticated machines are not programmed by human beings. We have only discovered them. In this paper, using well-known Busy Beaver and Placid Platypus machines, we generate further very similar, but not exactly the same machines. We have found a recombinate...
متن کاملAttacking the Busy Beaver 5
Since T. Rado in 1962 defined the busy beaver game several approaches have used computer technology to search busy beavers or even compute special values of Σ. Σ(5) is not yet known. A new approach to the computation of Σ(5) is presented, together with preliminary results, especially Σ(5)≥4098. This approach includes techniques to reduce the number of inspected Turing machines, to accelerate si...
متن کاملBusy Beaver – An Evolutionary Approach
The Busy Beaver is an interesting theoretical problem proposed by Tibor Rado in 1962. Since then, it has attracted the attention of many researchers and several contests were organised trying to produce good solutions. In this paper, we propose an evolutionary approach to the problem. Our experimental results prove that this technique is very effective in attacking Busy Beaver, since we were ab...
متن کاملHolkner. Acceleration Techniques for Busy Beaver Candidates ACCELERATION TECHNIQUES FOR BUSY BEAVER CANDIDATES
ABSTRACT: A busy beaver is a Turing machine of N states which, given a blank tape, halts with an equal or higher number of printed symbols than all other machines of N states. Candidates for this class of Turing machine cannot realistically be run on a traditional simulator due to their high demands on memory and time. This paper describes some techniques that can be used to run these machines ...
متن کاملBusy Beaver Scores and Alphabet Size
We investigate the Busy Beaver Game introduced by Rado (1962) generalized to non-binary alphabets. Harland (2016) conjectured that activity (number of steps) and productivity (number of non-blank symbols) of candidate machines grow as the alphabet size increases. We prove this conjecture for any alphabet size under the condition that the number of states is sufficiently large. For the measure a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Information and Control
سال: 1982
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(82)80085-5