Bounded depth circuits with weighted symmetric gates: satisfiability, lower bounds and compression
DOI10.1016/j.jcss.2019.04.004zbMath1423.68218OpenAlexW2942099076WikidataQ127993794 ScholiaQ127993794MaRDI QIDQ2316930
Takayuki Sakai, Junichi Teruyama, Kazuhisa Seto, Suguru Tamaki
Publication date: 7 August 2019
Published in: Journal of Computer and System Sciences (Search for Journal in Brave)
Full work available at URL: https://drops.dagstuhl.de/opus/volltexte/2016/6490/
symmetric functionrestrictioncircuit complexityshrinkagemaximum satisfiabilitylinear threshold functionbeating brute force
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the power of a threshold gate at the top
- An improved deterministic \#SAT algorithm for small De Morgan formulas
- Correlation bounds and \#SAT algorithms for small linear-size circuits
- A satisfiability algorithm and average-case hardness for formulas over the full binary basis
- Exponential lower bound for bounded depth circuits with few threshold gates
- On the power of small-depth threshold circuits
- A moderately exponential time algorithm for \(k\)-IBDD satisfiability
- Solving sparse instances of Max SAT via width reduction and greedy restriction
- Lower bounds on the size of bounded depth circuits over a complete basis with logical addition
- Multiparty protocols, pseudorandom generators for Logspace, and time- space trade-offs
- Majority gates vs. general weighted threshold gates
- Approximation algorithms for combinatorial problems
- The expressive power of voting polynomials
- When do extra majority gates help? Polylog\((N)\) majority gates are equivalent to one
- Complex polynomials and circuit lower bounds for modular counting
- Which problems have strongly exponential complexity?
- Local reduction
- Gate elimination: circuit size lower bounds and \#SAT upper bounds
- PP is closed under intersection
- Mining circuit lower bound proofs for meta-algorithms
- \(n^{{\Omega{}}(\log{} n)}\) lower bounds on the size of depth-3 threshold circuits with AND gates at the bottom
- Threshold circuits of bounded depth
- Theory of majority decision elements
- A Nonuniform Circuit Class with Multilayer of Threshold Gates Having Super Quasi Polynomial Size Lower Bounds Against NEXP
- Natural Proofs versus Derandomization
- Improving Exhaustive Search Implies Superpolynomial Lower Bounds
- Satisfiability Algorithms and Lower Bounds for Boolean Formulas over Finite Bases
- Improved Average-Case Lower Bounds for De Morgan Formula Size: Matching Worst-Case Lower Bound
- NEXP Does Not Have Non-uniform Quasipolynomial-Size ACC Circuits of o(loglogn) Depth
- Correlation Bounds for Poly-size $\mbox{\rm AC}^0$ Circuits with n 1 − o(1) Symmetric Gates
- Nonuniform ACC Circuit Lower Bounds
- Improved Algorithms for Sparse MAX-SAT and MAX-k-CSP
- Learning and Lower Bounds for AC 0 with Threshold Gates
- The Complexity of Satisfiability of Small Depth Circuits
- Simulating Threshold Circuits by Majority Circuits
- Average-Case Lower Bounds and Satisfiability Algorithms for Small Threshold Circuits
- Bounded Depth Circuits with Weighted Symmetric Gates: Satisfiability, Lower Bounds and Compression
- New algorithms and lower bounds for circuits with linear threshold gates
- An algorithm for the satisfiability problem of formulas in conjunctive normal form
- On Problems as Hard as CNF-SAT
- Short PCPs with Projection Queries
- Mathematical Foundations of Computer Science 2004
- More Applications of the Polynomial Method to Algorithm Design
- Learning algorithms from natural proofs
- Pseudorandom Bits for Constant‐Depth Circuits with Few Arbitrary Symmetric Gates
- Automata, Languages and Programming
- Natural proofs
- On the complexity of \(k\)-SAT
This page was built for publication: Bounded depth circuits with weighted symmetric gates: satisfiability, lower bounds and compression