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Towards optimal simulations of formulas by bounded-width programs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bfb0030331openalex-snapshot
A lower bound on complexity of branching programs
inferredcites →https://doi.org/10.1016/0022-0000(89)90037-8openalex-snapshot
Bounded-width polynomial-size branching programs recognize exactly those languages in NC1
inferredcites →https://doi.org/10.1109/sfcs.1983.30openalex-snapshot
Lower bounds by probabilistic arguments
inferredcites →https://doi.org/10.1109/sfcs.1989.63536openalex-snapshot
Subquadratic simulations of circuits by branching programs
inferredcites →https://doi.org/10.1145/100216.100251openalex-snapshot
Towards optimal simulations of formulas by bounded-width programs
inferredcites →https://doi.org/10.1145/12130.12131openalex-snapshot
Bounded-width polynomial-size branching programs recognize exactly those languages in NC 1
inferredcites →https://doi.org/10.1145/12130.12134openalex-snapshot
Two lower bounds for branching programs
inferredcites →https://doi.org/10.1145/321812.321815openalex-snapshot
The Parallel Evaluation of General Arithmetic Expressions
inferredcites →https://doi.org/10.1145/3749740.3749750openalex-snapshot
Completeness Classes in Algebra
inferredcites →https://doi.org/10.1145/62212.62215openalex-snapshot
Founding crytpography on oblivious transfer
inferredcites →https://doi.org/10.1145/62212.62236openalex-snapshot
Computing algebraic formulas with a constant number of registers
inferredcites →https://doi.org/10.1145/72981.72995openalex-snapshot
Non-cryptographic fault-tolerant computing in constant number of rounds of interaction
inferredcites →https://doi.org/10.1145/800061.808736openalex-snapshot
Bounds for width two branching programs
inferredcites →https://doi.org/10.1145/800061.808737openalex-snapshot
Multi-party protocols

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jcss.1997.1530openalex-snapshot
Efficient Oblivious Branching Programs for Threshold and Mod Functions
inferred← citeshttps://doi.org/10.1006/jcss.2001.1762openalex-snapshot
Branching Program Size Is Almost Linear in Formula Size
inferred← citeshttps://doi.org/10.1007/11821069_13openalex-snapshot
The Multiparty Communication Complexity of Exact-T: Improved Bounds and New Problems
inferred← citeshttps://doi.org/10.1007/3-540-39200-9_37openalex-snapshot
Efficient Multi-party Computation over Rings
inferred← citeshttps://doi.org/10.1007/3-540-49116-3_5openalex-snapshot
Relating Branching Program Size and Formula Size over the Full Binary Basis
inferred← citeshttps://doi.org/10.1007/3-540-57568-5_251openalex-snapshot
Time space tradeoffs (getting closer to the barrier?)
inferred← citeshttps://doi.org/10.1007/978-3-030-17656-3_1openalex-snapshot
Homomorphic Secret Sharing from Lattices Without FHE
inferred← citeshttps://doi.org/10.1007/978-3-030-62974-8_5openalex-snapshot
Two-Server Verifiable Homomorphic Secret Sharing for High-Degree Polynomials
inferred← citeshttps://doi.org/10.1007/978-3-030-64378-2_13openalex-snapshot
Mr NISC: Multiparty Reusable Non-Interactive Secure Computation
inferred← citeshttps://doi.org/10.1007/978-3-030-77870-5_24openalex-snapshot
The Rise of Paillier: Homomorphic Secret Sharing and Public-Key Silent OT
inferred← citeshttps://doi.org/10.1007/978-3-030-90402-9_6openalex-snapshot
NIKE from Affine Determinant Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-35486-1_12openalex-snapshot
Multi-key Homomorphic Secret Sharing from LWE Without Multi-key HE
inferred← citeshttps://doi.org/10.1007/978-3-662-44371-2_17openalex-snapshot
Faster Bootstrapping with Polynomial Error
inferred← citeshttps://doi.org/10.1007/978-3-662-49896-5_27openalex-snapshot
Post-zeroizing Obfuscation: New Mathematical Tools, and the Case of Evasive Circuits
inferred← citeshttps://doi.org/10.1109/ccc.2000.856733openalex-snapshot
BP(f)=O(L(f)/sup 1+έ/)
inferred← citeshttps://doi.org/10.1137/16m1082007openalex-snapshot
Communication Lower Bounds via Critical Block Sensitivity
inferred← citeshttps://doi.org/10.1145/2488608.2488640openalex-snapshot
Shielding circuits with groups
inferred← citeshttps://doi.org/10.1145/2554797.2554822openalex-snapshot
Iterated group products and leakage resilience against NC1
inferred← citeshttps://doi.org/10.1145/3133956.3134107openalex-snapshot
Homomorphic Secret Sharing
inferred← citeshttps://doi.org/10.1145/3583085openalex-snapshot
Catalytic Branching Programs from Groups and General Protocols
inferred← citeshttps://doi.org/10.17760/d20005081openalex-snapshot
Towards bridging theory and implementation of cryptographic primitives
inferred← citeshttps://doi.org/10.48550/arxiv.1311.2355openalex-snapshot
Communication Lower Bounds via Critical Block Sensitivity
inferred← citeshttps://doi.org/10.48550/arxiv.1312.3193openalex-snapshot
Iterated group products and leakage resilience against NC^1
inferred← citeshttps://doi.org/10.5445/ir/1000035100openalex-snapshot
Complete Primitives for Information-Theoretically Secure Two-Party Computation
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