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Interactive Theorem Proving
A Formal Library for Elliptic Curves in the Coq Proof Assistant
other
Author(s):
Evmorfia-Iro Bartzia
,
Pierre-Yves Strub
Publication date
(Print):
2014
Publisher:
Springer International Publishing
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Identity-Based Cryptosystems and Signature Schemes
Adi Shamir
(1985)
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Elliptic curve cryptosystems
Neal Koblitz
(1987)
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Use of Elliptic Curves in Cryptography
Victor S. Miller
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Publication date (Print):
2014
Pages
: 77-92
DOI:
10.1007/978-3-319-08970-6_6
SO-VID:
1afc3628-43ba-474a-bd12-9ae47f87d793
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Book chapters
pp. 1
Microcode Verification – Another Piece of the Microprocessor Verification Puzzle
pp. 17
Are We There Yet? 20 Years of Industrial Theorem Proving with SPARK
pp. 27
Towards a Formally Verified Proof Assistant
pp. 45
Implicational Rewriting Tactics in HOL
pp. 61
A Heuristic Prover for Real Inequalities
pp. 77
A Formal Library for Elliptic Curves in the Coq Proof Assistant
pp. 93
Truly Modular (Co)datatypes for Isabelle/HOL
pp. 111
Cardinals in Isabelle/HOL
pp. 128
Verified Abstract Interpretation Techniques for Disassembling Low-level Self-modifying Code
pp. 144
Showing Invariance Compositionally for a Process Algebra for Network Protocols
pp. 160
A Computer-Algebra-Based Formal Proof of the Irrationality of ζ(3)
pp. 177
From Operational Models to Information Theory; Side Channels in pGCL with Isabelle
pp. 193
A Coq Formalization of Finitely Presented Modules
pp. 209
Formalized, Effective Domain Theory in Coq
pp. 226
Completeness and Decidability Results for CTL in Coq
pp. 242
Hypermap Specification and Certified Linked Implementation Using Orbits
pp. 258
A Verified Generate-Test-Aggregate Coq Library for Parallel Programs Extraction
pp. 275
Experience Implementing a Performant Category-Theory Library in Coq
pp. 292
A New and Formalized Proof of Abstract Completion
pp. 308
HOL with Definitions: Semantics, Soundness, and a Verified Implementation
pp. 325
Verified Efficient Implementation of Gabow’s Strongly Connected Component Algorithm
pp. 341
Recursive Functions on Lazy Lists via Domains and Topologies
pp. 358
Formal Verification of Optical Quantum Flip Gate
pp. 374
Compositional Computational Reflection
pp. 390
An Isabelle Proof Method Language
pp. 406
Proof Pearl: Proving a Simple Von Neumann Machine Turing Complete
pp. 421
The Reflective Milawa Theorem Prover Is Sound
pp. 437
Balancing Lists: A Proof Pearl
pp. 450
Unified Decision Procedures for Regular Expression Equivalence
pp. 467
Collaborative Interactive Theorem Proving with Clide
pp. 483
On the Formalization of Z-Transform in HOL
pp. 499
Universe Polymorphism in Coq
pp. 515
Asynchronous User Interaction and Tool Integration in Isabelle/PIDE
pp. 531
HOL Constant Definition Done Right
pp. 537
Rough Diamond: An Extension of Equivalence-Based Rewriting
pp. 543
Formal C Semantics: CompCert and the C Standard
pp. 549
Mechanical Certification of Loop Pipelining Transformations: A Preview
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