Khadijeh Keshvardoost ; Bartek Klin ; Sławomir Lasota ; Joanna Ochremiak ; Szymon Toruńczyk - Definable isomorphism problem

lmcs:4321 - Logical Methods in Computer Science, December 11, 2019, Volume 15, Issue 4 - https://doi.org/10.23638/LMCS-15(4:14)2019
Definable isomorphism problem

Authors: Khadijeh Keshvardoost ; Bartek Klin ; Sławomir Lasota ; Joanna Ochremiak ; Szymon Toruńczyk

We investigate the isomorphism problem in the setting of definable sets (equivalent to sets with atoms): given two definable relational structures, are they related by a definable isomorphism? Under mild assumptions on the underlying structure of atoms, we prove decidability of the problem. The core result is parameter-elimination: existence of an isomorphism definable with parameters implies existence of an isomorphism definable without parameters.

Volume: Volume 15, Issue 4
Published on: December 11, 2019
Submitted on: February 27, 2018
Keywords: Computer Science - Logic in Computer Science