1-5. The Reason Why There Is No Retrial in Life
IO-division
experiments can satisfy a perfect experiment but cannot by reason of economy, then roles
of those experiments are set bounds to auxiliary functions of factor experiment. Although
either of factor experiment or IO experiment was made, it is unavoidable to occur
backtracking of the search tree on the event of contradictions. However, those costs newly
required or accumulated for backtracking make the problem impossible to solve.
If you should fail in your life and get into the embarrassing situation to restart again, what and how could you do? Your life has its own limitation. This is the real meaning of the term that "to complete the calculation in polynomial time". If you would not learn something from this failure, even if you would try your life again, should it be unreliable to succeed? Therefore, a failure is one question and the keyhole itself forming the shape of the question presents implicitly the answer or the key to open the door, isn't it?
breaking out a deadlock means that some contradiction exists there. The contradiction is there. The contradiction is a contradiction contrary to something certain. That is, there is a correct state which is hidden yet, and as a contradiction contrary to the state, the contradiction exists there. Well, all right. Let us examine if it is able to make retrial in life again with re-experimental graph method.
When a deadlock happens on a short-circuit graph, the short-circuit graph hands over the determinative paths to the re-experimental graph and requests to make another alternative. It is certain that branches of bad selections are included in the determinative paths but it is impossible to specify whichever are they. A branch might be definitely incorrect, otherwise reciprocal actions of several branches might break out the contradiction.
With respect to a construction of re-experimentation, the following should be considered.
The alternative presented by the re-experimentation may deviate and warp from the previous experiment flow of the short-circuit graph. The short-circuit graph deadlocked on the determinative path {a, b, c, d}. When the re-experimental graph returned the alternative {a, x, b, y}, how can we hold the consistency of this experiment.
At first, re-experimental graph composes deadlock paths from the given determinative paths. In the deadlock paths, all possible paths at the time of the deadlock are entered overlapping. A deadlock map is provided from both of the deadlock paths and the set of branches removed when the deadlock paths were determined. To tell the truth, re-experimental graph was another name of this deadlock map. The deadlock map includes both of causal branches of the contradiction and necessary branches for the resolution. Re-experimental graph can make up alternative determinative paths from this deadlock map including all of possible cases.
The content of the alternative paths returned by the re-experimental graph become that (1)it does not contradict itself, (2)it includes every points of the determinative paths of the short-circuit graph. That the alternative paths include every points of the determinative paths of the short-circuit graph obviously responds to the request of never retrograding experiment. A re-experimental graph can surely present an alternative fulfilling such conditions unless the graph is a non-Hamiltonian graph. To the contrary, if the re-experimental graph cannot obtain an alternative, the graph is a non-Hamiltonian graph.
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However,
it comes to be known that things up to this point were indeed brown studies. Our hope,
where we would obtain alternative paths without deadlock by the re-experimental graph
method by the name of never retrograding experiment, was lost. It is sure that there is a
certain resolution within the deadlock map including all of possible cases. Nevertheless,
making up the deadlock map including all of possible cases was in the first place an
impossible job to complete in polynomial time.
The reason why there is no retrial in life must be simple and
self-evident. A time to try a life again is after all equal with a time to begin it from
the first. Re-experimental graph became an example to prove how much a retrial costs. It
truly requires the cost of Noah's Flood.