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REPORTS > KEYWORD > AVERAGE-CASE LOWER BOUND:
Reports tagged with average-case lower bound:
TR15-099 | 12th June 2015
Ruiwen Chen

Satisfiability Algorithms and Lower Bounds for Boolean Formulas over Finite Bases

We give a \#SAT algorithm for boolean formulas over arbitrary finite bases. Let B_k be the basis composed of all boolean functions on at most k inputs. For B_k-formulas on n inputs of size cn, our algorithm runs in time 2^{n(1-\delta_{c,k})} for \delta_{c,k} = c^{-O(c^2k2^k)}. We also show the average-case ... more >>>


TR22-153 | 8th November 2022
Eshan Chattopadhyay, Jyun-Jie Liao

Hardness against Linear Branching Programs and More

In a recent work, Gryaznov, Pudlák and Talebanfard (CCC '22) introduced a linear variant of read-once
branching programs, with motivations from circuit and proof complexity. Such a read-once linear branching program is
a branching program where each node is allowed to make \mathbb{F}_2-linear queries, and are read-once in the ... more >>>




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