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1 results

  • UNDECIDABILITY OF THE THEORIES OF CLASSES OF STRUCTURES

  • ASHER M. KACH, ANTONIO MONTALBÁN
  • Journal:
    The Journal of Symbolic Logic / Volume 79 / Issue 4 / December 2014
    Published online by Cambridge University Press:
    12 December 2014, pp. 1001-1019
    Print publication:
    December 2014

  • Many classes of structures have natural functions and relations on them: concatenation of linear orders, direct product of groups, disjoint union of equivalence structures, and so on. Here, we study the (un)decidability of the theory of several natural classes of structures with appropriate functions and relations. For some of these classes of structures, the resulting theory is decidable; for some of these classes of structures, the resulting theory is bi-interpretable with second-order arithmetic.