2. 0<n
3.
p,q:Peg.
3. p
q
3.
3. (
a:.
3. (HanoiSTD(n-1 disks; from: p; to: q; indexing from: a)/z,s.
3. (s is a Hanoi(n-1 disk) seq on a..z & s(a) = (
i.p) & s(z) = (i.q))
4. p : Peg
5. q : Peg
6. p
q
7. a :
8.
p = otherPeg(p; q)
9.
otherPeg(p; q) = q
10. m : {a...}
11. s1 : {a...m}
{1...n-1}Peg
12. <m,s1> = HanoiSTD(n-1 disks; from: p; to: otherPeg(p; q); indexing from: a)
13. s1 is a Hanoi(n-1 disk) seq on a..m
14. s1(a) = (
i.p)
15. s1(m) = (
i.otherPeg(p; q))
16. z : {m+1...}
17. s2 : {m+1...z}
{1...n-1}Peg
18. <z,s2>
18. =
18. HanoiSTD(n-1 disks; from: otherPeg(p; q); to: q; indexing from: m+1)
19. s2 is a Hanoi(n-1 disk) seq on m+1..z
20. s2(m+1) = (
i.otherPeg(p; q))
21. s2(z) = (
i.q)
22. r1 : {a...m}
{1...n}Peg
23. r2 : {m+1...z}
{1...n}Peg
24. <r1,r2> = HanoiHelper(n; s1;
i.p; s2; i.q)
<r1,r2>/r1,r2.
(r1 @(m) r2) is a Hanoi(n disk) seq on a..z
& (r1 @(m) r2)(a) = (i.p)
& (r1 @(m) r2)(z) = (i.q)
