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Jun 20, 2015 · Fix an optimal Turing machine U and for each n consider the ratio of the number of halting programs of length at most n by the total number ...
What Percentage of Programs Halt? 221 let ρU n be the fraction of programs of length at most n on which U halts among all programs of lengths at most n. For ...
Sep 14, 2016 · There are obviously infinitely many halting programs because there is a Turing machine Mk for every natural number k that interprets the input n ...
Fix an optimal Turing machine $U$ and for each $n$ consider the ratio $\rho^U_n$ of the number of halting programs of length at most $n$ by the total number ...
Fix an optimal Turing machine U and for each n consider the ratio ρ^U_n of the number of halting programs of length at most n by the total number of such ...
Request PDF | What Percentage of Programs Halt? | Fix an optimal Turing machine U and for each n consider the ratio \(\rho ^U_n\) of the number of halting ...
Feb 14, 2019 · There are an infinite number of halting programs and in infinite number of non-halting ones, so it makes no sense to talk about a percentage.