title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð²ÑÐ¿Ð¾Ð»Ð½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð±ÑÐ»ÐµÐ²ÑÑ ÑÐ¾ÑÐ¼ÑÐ» Ð½Ð° Ð±Ð°Ð·Ðµ ÑÐµÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ¸ÑÑÐµÐ¼ÑÑ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»ÐµÐ¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Research and optimization of the solution of the feasibility problem for Boolean formulas based on reconfigurable hardware accelerators
Creators: name: ÐÑÐºÐ¾Ð»ÐºÐ¾Ð², ÐÐ»Ð°Ð´Ð¸ÑÐ»Ð°Ð²
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: FPGA
SAT
OPENCL

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð²ÑÐ¿Ð¾Ð»Ð½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð±ÑÐ»ÐµÐ²ÑÑ ÑÐ¾ÑÐ¼ÑÐ» Ð½Ð° Ð±Ð°Ð·Ðµ ÑÐµÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ¸ÑÑÐµÐ¼ÑÑ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»ÐµÐ¹Â».
ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð½Ð° Ð±Ð°Ð·Ðµ ÑÐµÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ¸ÑÑÐµÐ¼Ð¾Ð³Ð¾ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾Ð³Ð¾ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»Ñ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ ÑÑÐ°Ð½Ð´Ð°ÑÑ OpenCL, ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð²ÑÐ¿Ð¾Ð»Ð½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð±ÑÐ»ÐµÐ²ÑÑ ÑÐ¾ÑÐ¼ÑÐ» (Ð·Ð°Ð´Ð°ÑÐ¸ SAT), Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¸ Ð¸Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ñ ÑÐµÐ»ÑÑ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸.
ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ SAT, Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÐ½ÑÑ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÐµÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ¸ÑÑÐµÐ¼ÑÑ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»ÐµÐ¹, Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ ÑÑÐµÐ´ÑÑÐ² ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ Xilinx, ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð½Ð° Ð±Ð°Ð·Ðµ SIMD Ð¸ FPGA ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»ÐµÐ¹; ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐµÑÐ°ÑÐµÐ»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ SAT Ð½Ð° Ð±Ð°Ð·Ðµ ÑÐµÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ¸ÑÑÐµÐ¼Ð¾Ð³Ð¾ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾Ð³Ð¾ ÑÑÐºÐ¾ÑÐ¸ÑÐµÐ»Ñ Alveo ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ Xilinx; Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ, ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐ°ÑÐµÐ»Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ¾Ð·Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐ°ÑÐµÐ»Ñ Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ð¼Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸ÑÐ¼Ð¸ ÑÐµÑÐ°ÑÐµÐ»Ñ.
ÐÑÐ¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ: Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¿Ð°ÐºÐµÑÐ° SDAccel ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ Xilinx Ð¸ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ.
Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ» ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ ÑÐµÑÐ°ÑÐµÐ»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ SAT Ð¸ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¿Ð¾ÐºÐ°Ð·Ð°Ð²ÑÐµÐµ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ SAT, Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½ÑÐ¼Ð¸ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ð¼Ð¸ ÑÐµÑÐµÐ½Ð¸ÑÐ¼Ð¸.
description: The subject of the graduate qualification work is âResearch and optimization of the solution of the feasibility problem for Boolean formulas based on reconfigurable hardware acceleratorsâ.
The given work is devoted to the implementation on the basis of a reconfigurable hardware accelerator, using the OpenCL standard, to solve the feasibility problem of Boolean formulas (SAT problems), to study existing implementation options and their optimization in order to increase efficiency.
Tasks that were solved during the study: analysis of existing algorithms to solve the SAT problem, architectural features of modern reconfigurable accelerators, the capabilities of Xilinx tools, existing hardware solutions based on SIMD and FPGA accelerators; implementation of the SAT problem solver based on Xilinx reconfigurable hardware accelerator Alveo; conducting research, comparative analysis and optimization of the implemented solver, as well as conducting a comparative analysis of the created solver with existing solver implementations.
During the study, the following were used: simulation using the capabilities of the Xilinx SDAccel package and a comparative analysis of the simulation results.
As a result, the SAT problem solver was implemented and the simulation results were compared, which showed an increase in the efficiency of solving the SAT problem, compared with the existing solutions considered.