Definition of The Problem
The input of the problem consists of two finite lists and of words over some alphabet having at least two symbols. A solution to this problem is a sequence of indices with and for all, such that
The decision problem then is to decide whether such a solution exists or not.
Read more about this topic: Post Correspondence Problem
Famous quotes containing the words definition of, definition and/or problem:
“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
—Walter Pater (1839–1894)
“Scientific method is the way to truth, but it affords, even in
principle, no unique definition of truth. Any so-called pragmatic
definition of truth is doomed to failure equally.”
—Willard Van Orman Quine (b. 1908)
“The problem with marriage is that it ends every night after making love, and it must be rebuilt every morning before breakfast.”
—Gabriel García Márquez (b. 1928)