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    • 22. 发明授权
    • Reconfigurable hardware accelerator for boolean satisfiability solver
    • 用于布尔可满足性求解器的可重构硬件加速器
    • US08131660B2
    • 2012-03-06
    • US12099160
    • 2008-04-08
    • John DavisZhangxi TanFang YuLintao Zhang
    • John DavisZhangxi TanFang YuLintao Zhang
    • G06N5/02
    • G06N5/04
    • A hardware accelerator is provided for Boolean constraint propagation (BCP) using field-programmable gate arrays (FPGAs) for use in solving the Boolean satisfiability problem (SAT). An inference engine may perform implications. Block RAM (BRAM) may be used to store SAT instance information. Computation may be co-located with the BRAM memory, taking advantage of the high on-chip bandwidth and low latency of an FPGA. SAT instances may be partitioned into multiple groups that can be processed by multiple inference engines in parallel. New SAT instances can be inserted into FPGA without invoking the time-consuming FPGA re-synthesizing process.
    • 提供了用于布尔约束传播(BCP)的硬件加速器,使用现场可编程门阵列(FPGA)来解决布尔可满足性问题(SAT)。 推理引擎可能会产生影响。 块RAM(BRAM)可用于存储SAT实例信息。 计算可以与BRAM存储器共存,利用FPGA的高片上带宽和低延迟。 SAT实例可以被划分成多个可由多个推理引擎并行处理的组。 新的SAT实例可以插入到FPGA中,而无需调用耗时的FPGA重新合成过程。
    • 26. 发明授权
    • Handling of satisfaction and conflicts in a quantified Boolean formula solver
    • 在量化布尔公式求解器中处理满意度和冲突
    • US07577625B2
    • 2009-08-18
    • US11328009
    • 2006-01-09
    • Lintao Zhang
    • Lintao Zhang
    • G06N5/02G06N5/04
    • G06N5/003
    • In order to provide for more efficient QBF satisfiability determination, the formula to be checked is transformed into one formula which is equi-satisfiable, and one which is equi-tautological. The conjunction or disjunction of these two formulas, then, is used to determine satisfiability, with the result being that a determination of satisfiability is more easily achieved. A conjunctive normal form transformation of the initial formula yields a group of clauses, only one of which must be unsatisfiable for the formula to be unsatisfiable. A disjunctive normal form transformation of the initial formula yields a group of cubes, only one of which must be satisfiable in order for the formula to be determined to be satisfiable.
    • 为了提供更有效的QBF可满足度确定,要检查的公式被转换为一个等价可比的公式,其中一个是等价的。 然后,这两个公式的连接或分离用于确定可满足性,结果是更容易实现可满足性的确定。 初始公式的联合正态形式转换产生一组条款,其中只有一个条款必须不能令人满意,因为该公式不能令人满意。 初始公式的分离正态形式转换产生一组立方体,其中只有一个立方体必须是可满足的,以便确定公式是可满足的。
    • 27. 发明申请
    • Quantified boolean formula (QBF) solver
    • 量化布尔公式(QBF)求解器
    • US20060190865A1
    • 2006-08-24
    • US11038958
    • 2005-01-18
    • Yuan YuLintao Zhang
    • Yuan YuLintao Zhang
    • G06F17/50
    • G06F17/504G06F17/11
    • Quantified Boolean formula (QBF) techniques are used in determining QBF satisfiability. A QBF is broken into component parts that are analyzable by a satisfiability (SAT) solver. Each component is then independently, and perhaps in parallel, analyzed for satisfiability. If a component is unsatisfiable, then it is determined that the QBF is unsatisfiable, and the analysis is stopped. If a component is satisfiable, then an assignment corresponding to the satisfiable component is noted. If a component is satisfiable, then it is appended to another untested component to provide a combination component, and the satisfiability of the combination component is analyzed. Such appending and analysis is repeated until the QBF is completed and determined to be satisfiable or determined to be unsatisfiable.
    • 量化布尔公式(QBF)技术用于确定QBF可满足性。 QBF被分解成可满足性(SAT)求解器可分析的组件。 然后分析每个组件的可靠性,并且可能并行地进行分析。 如果组件不能令人满意,则确定QBF不可满足,并且分析停止。 如果组件是可满足的,则记录对应于可满足组件的分配。 如果组件可满足,则将其附加到另一未测试组件以提供组合组件,并分析组合组件的可满足性。 重复这种附加和分析直到QBF完成并确定为满足或确定为不满意。