New proof for the undecidability of the circular PCP




Vesa Halava, Tero Harju

PublisherSPRINGER

2013

Acta Informatica

ACTA INFORMATICA

ACTA INFORM

5-6

50

5-6

331

341

11

0001-5903

1432-0525

DOIhttps://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.



Last updated on 2024-26-11 at 12:24