Backtracking - Dictionary Definition and Overview

Backtracking : 

A scheme for solving a series of sub-problems each of which may have multiple possible solutions and where the solution chosen for one sub-problem may affect the possible solutions of later sub-problems.

To solve the overall problem, we find a solution to the first sub-problem and then attempt to recursively solve the other sub-problems based on this first solution. If we cannot, or we want all possible solutions, we backtrack and try the next possible solution to the first sub-problem and so on. Backtracking terminates when there are no more solutions to the first sub-problem.

This is the algorithm used by logic programming languages such as Prolog to find all possible ways of proving a goal.__An_optimisation_known_as_"{intelligent_backtracking">goal. An optimisation known as "{intelligent backtracking" keeps track of the dependencies between sub-problems and only re-solves those which depend on an earlier solution which has changed.

Backtracking is one algorithm which can be used to implement nondeterminism. It is effectively a depth-first search of a problem space.

(1995-04-13)



Example Usage of Backtracking

bluejayrock: That beeping sounds is me Backtracking on my Texas declaration
missruthsuzanne: Backtracking, i loved the merlin finale. i was just a bit bummed that arthur didn't catch merlin in the act. & by that i mean doing magic ;)
soccerskatie: @ShaoLao And I'm not Backtracking!
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