Amit Kuber

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math.LO2019

Aggregating Relational Structures

Harshit Bisht, Amit Kuber

We generalize the Arrow's impossibility theorem--a key result in social choice theory--to the setting where the arity $k$ of the relation under consideration is greater than $2$ . S…

math.LO2018

Definable combinatorics with dense linear orders

Himanshu Shukla, Arihant Jain, Amit Kuber

We compute the model-theoretic Grothendieck ring, $K_{0} (Q)$ , of a dense linear order (DLO) with or without end points, $Q = (Q, <)$ , as a structure of the signature…