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Kasal, Özcan and Pierce, David 2015. Chains of theories and companionability. Proceedings of the American Mathematical Society, Vol. 143, Issue. 11, p. 4937.
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Gustavson, Richard Kondratieva, Marina and Ovchinnikov, Alexey 2016. New effective differential Nullstellensatz. Advances in Mathematics, Vol. 290, Issue. , p. 1138.
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León Sánchez, Omar and Ovchinnikov, Alexey 2016. On bounds for the effective differential Nullstellensatz. Journal of Algebra, Vol. 449, Issue. , p. 1.
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Gustavson, Richard and Sánchez, Omar León 2016. Mathematical Aspects of Computer and Information Sciences. Vol. 9582, Issue. , p. 358.
  • CrossRef
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  • CrossRef
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Gustavson, Richard Ovchinnikov, Alexey and Pogudin, Gleb 2018. New order bounds in differential elimination algorithms. Journal of Symbolic Computation, Vol. 85, Issue. , p. 128.
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Gustavson, Richard and León Sánchez, Omar 2018. Effective bounds for the consistency of differential equations. Journal of Symbolic Computation, Vol. 89, Issue. , p. 41.
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Simmons, William and Towsner, Henry 2019. Proof mining and effective bounds in differential polynomial rings. Advances in Mathematics, Vol. 343, Issue. , p. 567.
  • CrossRef
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Li, Wei 2020. Partial differential Chow forms and a type of partial differential Chow varieties. Communications in Algebra, Vol. 48, Issue. 8, p. 3342.
  • CrossRef
  • Google Scholar

Ovchinnikov, Alexey Pogudin, Gleb and Vo, Thieu N 2022. Bounds for Elimination of Unknowns in Systems of Differential-Algebraic Equations. International Mathematics Research Notices, Vol. 2022, Issue. 16, p. 12342.
  • CrossRef
  • Google Scholar

FORNASIERO, ANTONGIULIO and TERZO, GIUSEPPINA 2024. GENERIC DERIVATIONS ON ALGEBRAICALLY BOUNDED STRUCTURES. The Journal of Symbolic Logic, p. 1.
  • CrossRef
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HOFFMANN, DANIEL MAX and KOWALSKI, PIOTR 2025. PAC STRUCTURES AS INVARIANTS OF FINITE GROUP ACTIONS. The Journal of Symbolic Logic, Vol. 90, Issue. 3, p. 1340.
  • CrossRef
  • Google Scholar

Ino, Kai and León Sánchez, Omar 2026. The theory DCF A exists for p > 0. Annals of Pure and Applied Logic, Vol. 177, Issue. 2, p. 103661.
  • CrossRef
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