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Correlation inequalities for Schur positivity

math.CO · 2026-06-04 · unverdicted · novelty 7.0

Generalizes Ahlswede-Daykin inequality to Schur-positive ADS inequality and resolves Mihalcea's conjecture on log-supermodularity of stable Grothendieck polynomials.

On Variable-Bounded Non-Linear Expansions of Presburger Arithmetic

cs.LO · 2026-05-16 · unverdicted · novelty 7.0

Decidability is shown for single-variable Presburger expansions with fixed powers via hyperelliptic Diophantine solvability and with degree-at-most-three polynomials via low-genus curves, with hardness results when restrictions are removed.

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  • Correlation inequalities for Schur positivity math.CO · 2026-06-04 · unverdicted · none · ref 62

    Generalizes Ahlswede-Daykin inequality to Schur-positive ADS inequality and resolves Mihalcea's conjecture on log-supermodularity of stable Grothendieck polynomials.

  • On Variable-Bounded Non-Linear Expansions of Presburger Arithmetic cs.LO · 2026-05-16 · unverdicted · none · ref 10

    Decidability is shown for single-variable Presburger expansions with fixed powers via hyperelliptic Diophantine solvability and with degree-at-most-three polynomials via low-genus curves, with hardness results when restrictions are removed.