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Completeness classes in algebraic complexity theory

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arxiv 2406.06217 v1 pith:5E5G5I3J submitted 2024-06-10 cs.CC

Peter Bürgisser This is my paper · ORCID
classification cs.CC
keywords algebraiccomplexityclassescompletenessconferencecontributiondevelopmentenormous
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The purpose of this overview is to explain the enormous impact of Les Valiant's eponymous short conference contribution from 1979 on the development of algebraic complexity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum determinants in polynomial time

    math.QA 2026-07 conditional novelty 7.0 of 10

    The q-Cayley determinant of q-right-quantum matrices equals a Valiant-style clow determinant and is computable by a polynomial-size algebraic branching program.

  2. A primer on the closure of algebraic complexity classes under factoring

    cs.CC 2025-06

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