2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2019
Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic
Tristram Bogart, John Goodrick, Kevin Woods
Let be polynomial functions of . For fixed , let be the numerical semigroup generated by $f_1(n),\ldots,f_k(n)…
math.LO2014★ 2 cited
Type-amalgamation properties and polygroupoids in stable theories
John Goodrick, Byunghan Kim, Alexei Kolesnikov
We show that in a stable first-order theory, the failure of higher-dimensional type amalgamation can always be witnessed by algebraic structures which we call n-ary polygroupoids.…
math.LO2010★ 1 cited
Amalgamation functors and boundary properties in simple theories
John Goodrick, Byunghan Kim, Alexei Kolesnikov
This paper continues the study of generalized amalgamation properties. Part of the paper provides a finer analysis of the groupoids that arise from failure of 3-uniqueness in a sta…