Division in logspace-uniformNC1
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Publication:2773023
DOI10.1051/ita:2001119zbMath1014.68062OpenAlexW2125463200MaRDI QIDQ2773023
Andrew Chiu, George Davida, Bruce Litow
Publication date: 20 February 2002
Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ITA_2001__35_3_259_0
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Cites Work
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- Counting problems and algebraic formal power series in noncommuting variables
- A complexity theory of efficient parallel algorithms
- On uniform circuit complexity
- On \(\text{TC}^0,\text{AC}^0\), and arithmetic circuits
- Computing a context-free grammar-generating series
- On uniformity within \(NC^ 1\)
- A taxonomy of problems with fast parallel algorithms
- Logarithmic Depth Circuits for Algebraic Functions
- Log Depth Circuits for Division and Related Problems
- Fast Parallel Arithmetic via Modular Representation
- On Relating Time and Space to Size and Depth
- Space-Efficient Deterministic Simulation of Probabilistic Automata
- Integer division in residue number systems
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