Question

Everything about Sudoku that doesn't fit in one of the other sections

Postby gsf » Thu Sep 14, 2006 5:07 pm

ronk wrote:
gsf wrote:first, the proposition constraint P(FN) is not considered guessing in this context
(...)
about using backdoors, its a fallout from the definition of the P (proposition) constraint
each proposition can have 3 outcomes: contradiction, solution, inconclusive

In this context the primary purpose of the proposition is to find a contradiction. If a secondary purpose of the proposition is to solve the puzzle, then it is guessing IMO.

I remember discussions related to this a while back and didn't understand how
collateral information gathered by a technique must be dropped just because it leads to a solution
what solver, human or machine, ignores such gifts?

anyway, I defined P to have 3 outcomes and to use them
its most definately a mechanical / brute force technique
devised to characterize puzzles when combined with batched moves
it gives a reasonable estimate on the difficulties tree search and other
solvers would have arriving at a solution
and it maps back to terms familiar to me way back in grad school w.r.t.
ai / image processing / constraint satisfaction / backtrack search problems

just to be clear: I didn't define P to be the next greatest technique
its a means to characterize and parameterize the current batch of hard problems
in terms of the basic techiques in scope
gsf
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Postby ronk » Fri Sep 15, 2006 5:25 pm

gsf wrote:anyway, I defined P to have 3 outcomes and to use them

I suppose "P(FN-G)", for example, could be used to ignore the solution outcome ... but apparently I'm the only one who wishes to do so.:)
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Postby gsf » Fri Sep 15, 2006 5:51 pm

ronk wrote:
gsf wrote:anyway, I defined P to have 3 outcomes and to use them

I suppose "P(FN-G)", for example, could be used to ignore the solution outcome ... but apparently I'm the only one who wishes to do so.:)

that would probably be the notation
but currently P(FN) is equivalent to P(FN-G)
I'll wait to see if P propositions lead anywhere before adding more options to it
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