1. L. Carlucci, A new proof-theoretic proof of the independence of Kirby-Paris' Hydra Theorem, Theoretical Computer Science 300 (2003), 365-378.
  2. L. Carlucci, Worms, Gaps and Hydras, Mathematical Logic Quarterly, 51:4, (2005), 342-350.
  3. L. Carlucci, S. Jain, E. Kinber, and F. Stephan, Variations on U-shaped learning. Information and Computation, 204:8, (2006), 1264-1294. Technical report version here.
  4. L. Carlucci, J. Case, S. Jain, and F. Stephan, Results on memory-limited U-shaped learning. Information and Computation, 205:10, (2007), 1551-1573. Technical report version here.
  5. L. Carlucci, J. Case, S. Jain, and F. Stephan, Non-U-shaped vacillatory and team learning, Journal of Computer and System Sciences, 74:4, (2008), 409-430. Technical report version here.
  6. L. Carlucci, J. Case, and S. Jain, Learning Correction Grammars, Journal of Symbolic Logic, 74:2, (2009), 489-516.
  7. L. Carlucci, P. Dehornoy, and A. Weiermann, Unprovability Results involving Braids. Proceedings of the London Mathematical Society, 102(1), (2011), 159-192.
  8. L. Carlucci, G. Lee, and A. Weiermann Sharp thresholds for hypergraph regressive Ramsey numbers. Journal of Combinatorial Theory, Series A, 118(2) (2011), 558-585.
  9. L. Carlucci, S. Jain and F. Stephan Learning with ordinal-bounded memory from positive data Journal of Computer and System Sciences, 78, (2012), 1623-1636.
  10. L. Carlucci and J. Case On the necessity of U-shaped learning Invited paper in Topics in Cognitive Science, 5, (2013), 56-88.
  11. L. Carlucci, K. Zdanowski The strength of Ramsey's Theorem for coloring relatively large sets Journal of Symbolic Logic, 79:1, (2014), 89-102.
  12. L. Carlucci, N. Galesi and M. Lauria On the Proof Complexity of Paris-Harrington and Off-Diagonal Ramsey Tautologies ACM Transactions on Computational Logic, 17(4), (2016).
  13. L. Carlucci, A weak variant of Hindman's Theorem stronger than Hilbert's Theorem Archive for Mathematical Logic, 57 (2018), 381--389.
  14. L. Carlucci, Weak Yet Strong restrictions of Hindman's Finite Sums Theorem Proceedings of the American Mathematical Society, 146 (2018), 819-829.
  15. L. Carlucci, A note on Hindman-type theorems for uncountable cardinals Accepted for publication in Order. Appeared online 24 January 2018