2 papers
cs.AI2026
Tenability and Weak Semantics: Modeling Non-uniform Defense -- Extended Version
Uri Andrews, Luca San Mauro, John Spoerl
In Dung-style abstract argumentation, various semantics capture notions of acceptability of arguments. The admissibility semantics capture the notion that an argument can be consis…
math.AC2025
Semigroup Graded Stillman's Conjecture
John Cobb, Nathaniel Gallup, John Spoerl
We resolve Stillman's conjecture for families of polynomial rings that are graded by any semigroup under mild conditions. Conversely, we show that these conditions are necessary fo…