Feasible arithmetic computations: Valiant's hypothesis
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Publication:1114391
DOI10.1016/S0747-7171(87)80063-9zbMath0662.68033OpenAlexW2064224503MaRDI QIDQ1114391
Publication date: 1987
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0747-7171(87)80063-9
straight-line programcomplexity classes of polynomials over a fieldP\(\neq NP\) conjectureVaillant's hypothesis
Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Polynomials in general fields (irreducibility, etc.) (12E05)
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Fast computation of discrete invariants associated to a differential rational mapping, Some complete and intermediate polynomials in algebraic complexity theory, Improved construction for universality of determinant and permanent, Permanent and determinant, Lower bounds for the circuit size of partially homogeneous polynomials, On enumerating monomials and other combinatorial structures by polynomial interpolation, On the Expressive Power of Read-Once Determinants, Lower bounds for the determinantal complexity of explicit low degree polynomials, Cook's versus Valiant's hypothesis, CATEGORICAL COMPLEXITY, Characterizing Valiant's algebraic complexity classes, Improved bounds for reduction to depth 4 and depth 3, On Hard Instances of Non-Commutative Permanent, Succinct Algebraic Branching Programs Characterizing Non-uniform Complexity Classes, Planar acyclic computation, On hard instances of non-commutative permanent, Lower Bounds for the Determinantal Complexity of Explicit Low Degree Polynomials, Monomials in arithmetic circuits: complete problems in the counting hierarchy
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