Article(id=1241719284355878952, tenantId=1146029695717560320, journalId=1146032081894723586, issueId=1241719216169079576, articleNumber=null, orderNo=8, doi=10.3981/j.issn.2097-0781.2023.01.007, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1671984000000, receivedDateStr=2022-12-26, revisedDate=1675267200000, revisedDateStr=2023-02-02, acceptedDate=null, acceptedDateStr=null, onlineDate=1679846400000, onlineDateStr=2023-03-27, pubDate=1679241600000, pubDateStr=2023-03-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1679846400000, onlineIssueDateStr=2023-03-27, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773978547415, creator=sys-migrate, updateTime=1773978547415, updator=sys-migrate, issue=Issue{id=1241719216169079576, tenantId=1146029695717560320, journalId=1146032081894723586, year='2023', volume='2', issue='1', pageStart='5', pageEnd='143', issueExtLink='null', onlineDate='null', pubDate='1679241600000', pubDateStr='2023-03-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=1, createTime=1773978531159, creator='sys-migrate', updateTime=1774001248771, updator='13041195026', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1241814500781916967, tenantId=1146029695717560320, journalId=1146032081894723586, issueId=1241719216169079576, language=EN, specialIssueTitle=Science and Technology Foresight, coverIllustrator=null, specialIssueEditor=null, specialIssueAbout=null), CN=IssueExt(id=1241814500781916968, tenantId=1146029695717560320, journalId=1146032081894723586, issueId=1241719216169079576, language=CN, specialIssueTitle=形式化方法与复杂计算系统可信保障, coverIllustrator=null, specialIssueEditor=null, specialIssueAbout=null)}, issueFiles=null, downloadFileDto=null}, startPage=90, endPage=105, ext={EN=ArticleExt(id=1241719288571154485, articleId=1241719284355878952, tenantId=1146029695717560320, journalId=1146032081894723586, language=EN, title=Status and Prospects of Formal Verification for Security of Cryptographic Implementations, columnId=1149656489310208610, journalTitle=Science and Technology Foresight, columnName=Review and Commentary, runingTitle=null, highlight=null, articleAbstract=

Serving as a foundation, cryptography is the key technique for ensuring network and information security. However, cryptographic implementations suffer from various security threats. Formal verification is the most important technique for rigorously proving the security of cryptographic implementations. This article first reviews the development status and application of formal verification techniques for cryptographic implementations both in China and abroad in terms of functional correctness, memory security, and side-channel security including time and power consumption. Then the article summarizes the drawbacks, current challenges, and development trends of these formal verification techniques for cryptographic implementations. According to the security requirements and limited progress in formal verification techniques for cryptographic implementations in China, it is suggested that high-performance and high-assurance cryptographic libraries should be constructed. In addition, the article proposes to follow the top-down design principle, strengthen independent innovation, and unify intermediate representation language under the guidance of national key task, and it plans to develop a high-efficiency, high-precision, and full-automated formal verification platform and a secure compiler optimization toolchain, create high-performance and high-assurance common cryptographic library with minimized trusted computing base, and promote the integrated development of both academic and industrial communities, so as to improve national network and information security.

, authors=null, authorsList=Fu SONG, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1241719288436936756, articleId=1241719284355878952, tenantId=1146029695717560320, journalId=1146032081894723586, language=CN, title=密码实现安全形式化验证发展现状与展望, columnId=1148708266483446458, journalTitle=前瞻科技, columnName=综述与述评, runingTitle=null, highlight=null, articleAbstract=

密码是保障网络安全和信息安全的核心技术和基础支撑，但密码实现本身面临多种安全威胁，形式化验证是严格证明密码实现安全性的重要技术手段。文章回顾了国内外在密码实现的功能正确性和内存安全性、时间侧信道安全性、功耗侧信道安全性方面的形式化验证技术发展现状和应用情况，分析了当前面向密码实现的形式化验证技术的不足、挑战和发展趋势。鉴于中国密码实现的安全性需求和相应形式化验证技术积累的不足，建议以研制构建高性能、高可信密码库为目标，以国家重大任务为牵引，通过顶层设计，强化自主创新，统一中间表示语言，研制高效率、高精度、自动化的形式化验证平台及安全编译优化工具链，最小化可信计算基，构造高效率、高可信密码实现通用库，促进产学研融合发展，进一步提高国家网络安全和信息安全的发展质量。

, authors=, authorsList=宋富, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=vTv+5J9BP5X3tYDt07DBLw==, magXml=CNbOQr4+9RmpWx2uQ00dug==, pdfUrl=null, pdf=erXCBY0/VizFikJqA7etGg==, pdfFileSize=2446887, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=KlmYvAiQMSkE9ucgDcb59A==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=CkyWnzGu0f43rTZ2TgvlKQ==, mapNumber=null, fund=null)}, authors=[Author(id=1241719307609109494, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=songfu@shanghaitech.edu.cn, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1241719307676218359, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, authorId=1241719307609109494, language=EN, stringName=Fu SONG, firstName=Fu, middleName=null, lastName=SONG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=null, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1241719307802047480, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, authorId=1241719307609109494, language=CN, stringName=宋富, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=null, bio={"img":"kNn7zCEcPMPUt6qoeMgj8Q==","content":"

宋富，上海科技大学信息科学与技术学院长聘副教授，研究员。上海科技大学系统与安全中心主任。研究方向为形式化验证、系统安全和人工智能安全。主持和参与多项国家自然科学基金青年、面上、重点和中德国际合作项目。发表论文70余篇。获欧洲软件科学与技术协会最佳论文奖、亚马逊研究奖和上海市“浦江人才”、上海市“晨光学者”荣誉称号。电子信箱：songfu@shanghaitech.edu.cn。

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宋富，上海科技大学信息科学与技术学院长聘副教授，研究员。上海科技大学系统与安全中心主任。研究方向为形式化验证、系统安全和人工智能安全。主持和参与多项国家自然科学基金青年、面上、重点和中德国际合作项目。发表论文70余篇。获欧洲软件科学与技术协会最佳论文奖、亚马逊研究奖和上海市“浦江人才”、上海市“晨光学者”荣誉称号。电子信箱：songfu@shanghaitech.edu.cn。

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USB Key，Universal Serial Bus Key，通用串行总线接口的加密锁;USIM，Universal Subscriber Identity Module，全球用户识别卡。

, figureFileSmall=uqTzIpuaj45Mt5Tzl+siRg==, figureFileBig=29jyiJjEtl7Wxf/cs6QNIw==, tableContent=null), ArticleFig(id=1241719310545121301, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=EN, label=null, caption=null, figureFileSmall=PULG2n+TcOqn5W2Wo39QoA==, figureFileBig=GcXUNPq4/OsFZSNh9aZGRQ==, tableContent=null), ArticleFig(id=1241719310633201690, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=CN, label=图3, caption=密码实现侧信道攻击, figureFileSmall=PULG2n+TcOqn5W2Wo39QoA==, figureFileBig=GcXUNPq4/OsFZSNh9aZGRQ==, tableContent=null), ArticleFig(id=1241719310708699166, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=EN, label=null, caption=null, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	内存 安全	验证技术	自动化 程度	输入语言	目标语言	应用
Frama-C[13]	2013	●	抽象解释 演绎推理	◉	C	C	RSA-OEAP, MEE-CBC
gfverif[14]	2015	○	代数系统	●	C	C	X25519
Cryptol+SAW[15]	2016	●	程序等价 静态符号执行	◉	C, Java	C, Java	Salsa20, AES, ZUC, FFS, ECDSA, SHA-3
Fiat Crypto[16]	2019	●	定理证明	○	Gallina	C	Curve25519, P256
EverCrypt[17]	2020	●	演绎推理 定理证明	◉	F*, Vale	C, ASM, WASM	HACL*库和ValeCrypt
Why3[18-19]	2021	◉	演绎推理	◉	WhyML	OCaml, ASM	BGW, X25519
VST[20⇓⇓-23]	2021	●	定理证明	○	Gallina	C	DRBG, SHA-256, SHA-2, X25519
Jasmin[24⇓⇓-27]	2021	●	抽象解释 演绎推理 定理证明	◉	Jasmin	C, ASM	ChaCha20, Poly1305, SHA-3
CryptoLine[28⇓-30]	2022	●	演绎推理 代数系统	●	CryptoLine	C, ASM	NaCl, OpenSSL等库函数

), ArticleFig(id=1241719310796779554, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=CN, label=表1, caption=

密码实现功能正确性和内存安全性形式化验证的研究进展

, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	内存 安全	验证技术	自动化 程度	输入语言	目标语言	应用
Frama-C[13]	2013	●	抽象解释 演绎推理	◉	C	C	RSA-OEAP, MEE-CBC
gfverif[14]	2015	○	代数系统	●	C	C	X25519
Cryptol+SAW[15]	2016	●	程序等价 静态符号执行	◉	C, Java	C, Java	Salsa20, AES, ZUC, FFS, ECDSA, SHA-3
Fiat Crypto[16]	2019	●	定理证明	○	Gallina	C	Curve25519, P256
EverCrypt[17]	2020	●	演绎推理 定理证明	◉	F*, Vale	C, ASM, WASM	HACL*库和ValeCrypt
Why3[18-19]	2021	◉	演绎推理	◉	WhyML	OCaml, ASM	BGW, X25519
VST[20⇓⇓-23]	2021	●	定理证明	○	Gallina	C	DRBG, SHA-256, SHA-2, X25519
Jasmin[24⇓⇓-27]	2021	●	抽象解释 演绎推理 定理证明	◉	Jasmin	C, ASM	ChaCha20, Poly1305, SHA-3
CryptoLine[28⇓-30]	2022	●	演绎推理 代数系统	●	CryptoLine	C, ASM	NaCl, OpenSSL等库函数

), ArticleFig(id=1241719310876471332, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=EN, label=null, caption=null, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	泄漏模型	验证技术	验证精度	输入语言	目标语言	应用
CacheAudit[31]	2013	①②	抽象解释	◉	二进制	二进制	AES, eSTREAM
ct-verif[32]	2016	①②③	交叉积	●	C	Boogie	Nacl, OpenSSL, BoringSSL
Themis[33]	2017	①	污点分析 自组合	○	Java	Java	DARPA STAC测试集
Blazer[34]	2017	①	污点分析 复杂度比较	○	Java	Java	DARPA STAC测试集
IFC-CEGAR/BMC[35]	2018	①②	污点分析 惰性自组合	●	LLVM IR	C	—
SC Eliminator[36]	2018	①②	类型系统 自动修复	◉	LLVM IR	C	AES, DES, LBlock, PRESET等
FaCT[37]	2019	①②③	类型系统 自动修复	◉	FaCT	LLVM IR	Poly1305, XSalsa20, MEE-CBC, Curve25519
CT-Wasm[38]	2019	①②③	类型系统	◉	WASM	WASM	Salsa20, SHA-256, TweetNaCl
AISE[39]	2019	②④	抽象解释	◉	LLVM IR	C	hpn-ssh, LibTomCrypt, OpenSSL,Tegra
EverCrypt[17]	2020	①②③	污点分析 类型系统	◉	Low*, Vale	C, ASM	HACL*库和ValeCrypt
SpecuSym[40]	2020	④	动态符号执行	○	LLVM IR	C	hpn-ssh, LibTomCrypt, OpenSSL,Tegra
KleeSpectre[41]	2020	④	动态符合执行	○	LLVM IR	C
BINSEC/REL[42]	2020	①②	关系符号执行	○	汇编	二进制	HACL*, OpenSSL, BearSSL
SPECTECTOR[43]	2020	④	静态符号执行	◉	汇编	汇编	—
Pitchfork[44]	2020	④⑤	污点分析 静态符号执行	◉	汇编	汇编	Poly1305, XSalsa20, MEE-CBC, Curve25519
Oo7[45]	2020	①②④⑤	污点分析 自动修复	○	二进制	二进制	Litmus Tests, SPECint
Blade[46]	2021	④⑤	类型系统 自动修复	◉	WASM	WASM, C	Salsa20, SHA-256, ChaCha20, Poly1305, Curve25519
Binsec/Haunted[47]	2021	①②④⑤	关系静态 静态符号执行	○	汇编	二进制	Libsodium, OpenSSL
Jasmin[24⇓⇓-27,48]	2022	①②④⑤⑥	定理证明	●	Jasmin	C, 汇编	ChaCha20, Poly1305, keccak1600等
DeJITLeak[49]	2022	①⑥	类型系统 自动修复	◉	Java 字节码	Java 字节码	DARPA STAC测试集

), ArticleFig(id=1241719310956163110, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=CN, label=表2, caption=

密码实现时间侧信道安全性形式化验证的研究进展

, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	泄漏模型	验证技术	验证精度	输入语言	目标语言	应用
CacheAudit[31]	2013	①②	抽象解释	◉	二进制	二进制	AES, eSTREAM
ct-verif[32]	2016	①②③	交叉积	●	C	Boogie	Nacl, OpenSSL, BoringSSL
Themis[33]	2017	①	污点分析 自组合	○	Java	Java	DARPA STAC测试集
Blazer[34]	2017	①	污点分析 复杂度比较	○	Java	Java	DARPA STAC测试集
IFC-CEGAR/BMC[35]	2018	①②	污点分析 惰性自组合	●	LLVM IR	C	—
SC Eliminator[36]	2018	①②	类型系统 自动修复	◉	LLVM IR	C	AES, DES, LBlock, PRESET等
FaCT[37]	2019	①②③	类型系统 自动修复	◉	FaCT	LLVM IR	Poly1305, XSalsa20, MEE-CBC, Curve25519
CT-Wasm[38]	2019	①②③	类型系统	◉	WASM	WASM	Salsa20, SHA-256, TweetNaCl
AISE[39]	2019	②④	抽象解释	◉	LLVM IR	C	hpn-ssh, LibTomCrypt, OpenSSL,Tegra
EverCrypt[17]	2020	①②③	污点分析 类型系统	◉	Low*, Vale	C, ASM	HACL*库和ValeCrypt
SpecuSym[40]	2020	④	动态符号执行	○	LLVM IR	C	hpn-ssh, LibTomCrypt, OpenSSL,Tegra
KleeSpectre[41]	2020	④	动态符合执行	○	LLVM IR	C
BINSEC/REL[42]	2020	①②	关系符号执行	○	汇编	二进制	HACL*, OpenSSL, BearSSL
SPECTECTOR[43]	2020	④	静态符号执行	◉	汇编	汇编	—
Pitchfork[44]	2020	④⑤	污点分析 静态符号执行	◉	汇编	汇编	Poly1305, XSalsa20, MEE-CBC, Curve25519
Oo7[45]	2020	①②④⑤	污点分析 自动修复	○	二进制	二进制	Litmus Tests, SPECint
Blade[46]	2021	④⑤	类型系统 自动修复	◉	WASM	WASM, C	Salsa20, SHA-256, ChaCha20, Poly1305, Curve25519
Binsec/Haunted[47]	2021	①②④⑤	关系静态 静态符号执行	○	汇编	二进制	Libsodium, OpenSSL
Jasmin[24⇓⇓-27,48]	2022	①②④⑤⑥	定理证明	●	Jasmin	C, 汇编	ChaCha20, Poly1305, keccak1600等
DeJITLeak[49]	2022	①⑥	类型系统 自动修复	◉	Java 字节码	Java 字节码	DARPA STAC测试集

), ArticleFig(id=1241719311023271978, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=EN, label=null, caption=null, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	安全 模型	阶数	可组合验证	验证技术	验证 精度	输入语言	目标语言	应用
SC Sniffer[50⇓-52]	2014	①⑦	1,2	N	约束求解 自动修复	●	布尔电路	C	Keccak, AES-Sbox
EasyCrypt[53]	2015	①⑥	≥1	N	证明系统	◉	EasyCrypt	EasyCrypt	Keccak, AES, AES-Sbox
maskComp[54]	2016	②③	≥1	Y	证明系统 自动修复	◉	C	C	AES, Keccak, Simon, Speck
BYT[55]	2017	①	≥1	Y	约束求解 自动修复	●	布尔电路	C	Keccak, AES-Sbox
CheckMasks[56]	2018	②③	≥1	N	初等变换	◉	Lisp	Lisp	布尔算术互转函数
Rebecca[57]	2018	①⑤	≥1	N	傅里叶分析 约束求解	◉	布尔电路	Verilog	Keccak/AES-Sbox
SC Infer[58-59]	2019	①⑦	1	N	类型系统约束求解混合验证	●	布尔电路	C	Keccak, AES-Sbox
SC Sniffer2[60]	2019	①⑥	1	N	类型系统 自动修复	◉	布尔电路	C	Keccak, AES-Sbox
maskVerif[61]	2019	①②③⑤⑥	≥1	N	证明系统	◉	布尔电路	Verilog	Keccak/AES-Sbox
tightPROVE+[62-63]	2020	①	≥1	Y	线性代数 自动修复	◉	布尔电路	Usuba	NIST 2nd Round 轻量级加密算法
SILVER[64]	2020	①②③④⑤	≥1	N	二元决策图	●	布尔电路	Verilog	AES/PREENT/ PRINCE-Sbox
VRAPS[65]	2020	⑧	≥1	Y	类型系统	◉	布尔电路	Sage	AES
HOME[66]	2021	①	≥1	N	类型系统约束求解混合验证	●	算术电路	C	Keccak, AES
fullverif[67]	2021	④⑤	≥1	Y	依赖分析	●	布尔电路	Verilog	Sbox
QMVERIF[68]	2022	①⑥⑦	1	Y	类型系统约束求解混合验证	●	算术电路	C	Keccak, AES-Sbox
IronMask[69]	2022	②③④⑤⑥⑧	≥1	N	高斯消元	◉	布尔电路	Sage	乘法器

), ArticleFig(id=1241719311107158060, tenantId=1146029695717560320, journalId=1146032081894723586, articleId=1241719284355878952, language=CN, label=表3, caption=

密码实现功耗侧信道安全性形式化验证的研究进展

, figureFileSmall=null, figureFileBig=null, tableContent=

验证工具和文献	年份	安全 模型	阶数	可组合验证	验证技术	验证 精度	输入语言	目标语言	应用
SC Sniffer[50⇓-52]	2014	①⑦	1,2	N	约束求解 自动修复	●	布尔电路	C	Keccak, AES-Sbox
EasyCrypt[53]	2015	①⑥	≥1	N	证明系统	◉	EasyCrypt	EasyCrypt	Keccak, AES, AES-Sbox
maskComp[54]	2016	②③	≥1	Y	证明系统 自动修复	◉	C	C	AES, Keccak, Simon, Speck
BYT[55]	2017	①	≥1	Y	约束求解 自动修复	●	布尔电路	C	Keccak, AES-Sbox
CheckMasks[56]	2018	②③	≥1	N	初等变换	◉	Lisp	Lisp	布尔算术互转函数
Rebecca[57]	2018	①⑤	≥1	N	傅里叶分析 约束求解	◉	布尔电路	Verilog	Keccak/AES-Sbox
SC Infer[58-59]	2019	①⑦	1	N	类型系统约束求解混合验证	●	布尔电路	C	Keccak, AES-Sbox
SC Sniffer2[60]	2019	①⑥	1	N	类型系统 自动修复	◉	布尔电路	C	Keccak, AES-Sbox
maskVerif[61]	2019	①②③⑤⑥	≥1	N	证明系统	◉	布尔电路	Verilog	Keccak/AES-Sbox
tightPROVE+[62-63]	2020	①	≥1	Y	线性代数 自动修复	◉	布尔电路	Usuba	NIST 2nd Round 轻量级加密算法
SILVER[64]	2020	①②③④⑤	≥1	N	二元决策图	●	布尔电路	Verilog	AES/PREENT/ PRINCE-Sbox
VRAPS[65]	2020	⑧	≥1	Y	类型系统	◉	布尔电路	Sage	AES
HOME[66]	2021	①	≥1	N	类型系统约束求解混合验证	●	算术电路	C	Keccak, AES
fullverif[67]	2021	④⑤	≥1	Y	依赖分析	●	布尔电路	Verilog	Sbox
QMVERIF[68]	2022	①⑥⑦	1	Y	类型系统约束求解混合验证	●	算术电路	C	Keccak, AES-Sbox
IronMask[69]	2022	②③④⑤⑥⑧	≥1	N	高斯消元	◉	布尔电路	Sage	乘法器

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