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Post Correspondence Problem - GeeksforGeeks In simple words, lets assume we have two lists both containing N words, aim is to find out concatenation of these words in some sequence such that both lists yield same result Let's try understanding this by taking two lists A and B A=[aa, bb, abb] and B=[aab, ba, b]
Post correspondence problem - Wikipedia One of the most important variants of PCP is the bounded Post correspondence problem, which asks if we can find a match using no more than k tiles, including repeated tiles
The PCP Problem Explained - numberanalytics. com Explore the Post Correspondence Problem, a fundamental concept in Philosophical Logic, and understand its significance in the realm of theoretical computer science and logic
6. 8 The Post Correspondence Problem - University of Pennsylvania The Post correspondence problem (due to Emil Post) is another undecidable problem that turns out to be a very helpful tool for proving problems in logic or in formal language theory to be undecidable
CS 208: Automata Theory and Logic - Part II, Lecture 4: PCP and Complexity Step 1: Reduce to Modified PCP (MPCP) MPCP =fhPi j PCP with a match starting from first domino Step 2: Reduction from LA TM to MPCP We construct MPCP P0 whose matching soln will solve the TM-acceptance problem The Post’s correspondence problem is undecidable for j j 2
head - Rensselaer Polytechnic Institute Convert an input P of MPCP to an input of PCP is the only domino where the top and the bottom start with the same symbol Thus, any match, if it exists, must start with this domino It is also easy to see that every PCP-match, if it exists, is obtained from a MPCP match by removing all *s Example PCP is undecidable Proof
L17-PCP - Department of Computer Science, Columbia University Example: Consider the instance of PCP with A = (a, b, ca, abc) and B = (ab, ca, a, c) The sequence 1, 2, 3, 1, 4 is a solution because the same string abcaaabc is obtained by concatenating the corresponding strings from either list A [ (a) (b) (ca) (a) (abc)] or list B [ (ab) (ca) (a) (ab) (c)]
ThePostCorrespondenceProblem Th - MIT Mathematics ottom strings are identical In this paper, we show that there is no algorithm that decides whether a given instance of PCP has a match, fol owing the approach from [1] To prove this result, we rst introduce a method of com utation: the Turing machine A decade before Post introduced PCP, mathematician Alan Turing de ned a computational mod