Proof theory for lattice-ordered groups
نویسندگان
چکیده
منابع مشابه
Proof theory for lattice-ordered groups
Proof theory can provide useful tools for tackling problems in algebra. In particular, Gentzen systems admitting cut-elimination have been used to establish decidability, complexity, amalgamation, admissibility, and generation results for varieties of residuated lattices corresponding to substructural logics. However, for classes of algebras bearing some family resemblance to groups, such as la...
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In 1967 Gurevich [3] published a proof that the class of divisible Axchimedean lat t ice-ordered abelian groups such that the lattice of carriers is an atomic Boolean algebra has a hereditarily undecidable first-order theory. (He essentially showed the reduct of this class to lattices has a hereditarily undecidable first-order theory: on p. 49 of his paper change z ~ u + v to z ~ u v v in the d...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2016
ISSN: 0168-0072
DOI: 10.1016/j.apal.2016.04.004