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On the Hardness of “Infinite Energy” Puzzles
Utkarsh Tiwari , Utkarsh Thanvi, Armaan Sethi, Aalok Thakkar, Neeldhara Misra.
Under Review. (Early results accepted at the JCDCG^3 conference)
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Modeling Tool Use in Transformers via Computation Oracles
Utkarsh Tiwari , Sai Soumya Nalli, Amit Deshpande, Michael Hahn.
Under Review. (Early results accepted at the FLaNN workshop at Yale University, and Workshop on Latent & Implicit Thinking ICLR 2026)
Slides from presentation at LaCoCo lab,
Poster from FLaNN workshop, Yale University
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Results Under Preparation
1. Finding perfect matching cuts on induced subgraphs of the integer grid is NP Hard via reduction from Barnette (3-connected, cubic, planar, bipartite) graphs
2. Finding perfect matching cuts on hole-free induced subgraphs of the integer grid has a poly-time algorithm via maximum weight independent sets in outerstring graphs
3. Kingdomino style domino tiling is NP Hard for unbounded number of colors via reduction from graph decomposition
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