Anal Turing was wrong

There are at most 2^n different programs of length n (in binary).

Those that terminate go on forever, those that don't terminate stop after x steps.

let f(n) = the largest x.

Now write the program:

halts?(program) {
 int maxsteps = f(length(program));
 for(int i = 0; i < maxsteps; i++) { step(program); }
 if(halted?(program)) return HALTS;
 else return LOOPS;
}

any questions Turing?

you forgot:
1) your noko
2) trollface.jpg

see wiki:busy%20beaver

>>1
any questions Turing?
Do I have to fit the program within n bits?

>>1
I implemented two functions that solve the halting problem:

(define (halts?-1 f) #t)
(define (halts?-2 f) #f)

If one doesn't work, use the other.

>>3
Those have more state than their "state" tables would suggest --- their tape is also state, and can be infinitely large.

Then you're not talking about the size of the program, but the size of the working memory, you fucking retard.


int main() { int x; for (x = 0; x < 2000000000; x++); return 0 }

OP's test for this program would return LOOPS, which is wrong.
IHBT but I am okay with it

If the (entire) state of a program reaches one of the states it was in before, then it will not halt. Otherwise, the answer is "maybe".

Well, being a faggot kinda implies being wrong.

>>9
Not necessarily; if the analyzer feeds input into the program (which is precisely the case in the classic example) then the analyzer state has to be taken into account as well. This just snowballs forever in the degenerate cases which exist for every analyzer.

seirously I can't see a flaw in op

int f (int proglen) {
    const int lens[] = { -1, 1, 6, 21, 107, /* TODO fill in the rest */ };
    return lens[proglen];
}

>>12
in his trolling?

Why don't we just leave programs that never stop running until they do? just clear out the cache and free up RAM from time to time.

>>15
BECAUSE LIKE THAT THEY ARE NOT ^{ANAL-_COMPLETE}
WAHBT

Penrose tried to argue that human intelligence can't be modeled with a computational simulation because humans are able to solve halting-complete problems. He made the same fundamental misunderstanding as >>1 (if you pretend for a moment that this isn't a troll thread.)

It's more like trying to determine which glass is poisoned. You can't do it reliably and any answer you do come up with is in doubt precisely because you came up with it: your opponent knows you are an intelligent agent and may have put the poison in the other glass as a result. Of course he finds himself with a nearly identical problem.

hmm given the fact u have a virtual mem of 5Gigz u
can write about 5bilion diferrent programs i ll start
00x00 00x00
00x01 00x00
---
---
FFFFxFFFF 00x00

i call it the nop programm

>>18
I reimplemented it:
0x909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090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>>18
No. Its 2^(5bilion)
learn ur algebra

>>19

What have you done?

>>21
ur mom lol

>>21
Learn to x86.

>>19
The horizontal hold, you broke it!