New proof for the undecidability of the circular PCP
: Vesa Halava, Tero Harju
Publisher: SPRINGER
: 2013
: Acta Informatica
: ACTA INFORMATICA
: ACTA INFORM
: 5-6
: 50
: 5-6
: 331
: 341
: 11
: 0001-5903
: 1432-0525
DOI: https://doi.org/10.1007/s00236-013-0183-5
: http://link.springer.com/journal/236/50/5/page/1
We give simpler proof for the undecidability of the circular Post Correspondence Problem that was originally proved undecidable by Ruohonen (Acta Informatica 19:357-367, 1983). The key feature of our proof is the undecidability of the word problem of special semi-Thue systems where derivations are deterministic and reversible for words containing a single occurrence of a letter from a given set.