Implicit Computational Complexity of Subrecursive Definitions and Applications to Cryptographic Proofs

We define a call-by-value variant of Gödel’s system T with references, and equip it with a linear dependent type and effect system, called d ℓ T , that can estimate the time complexity of programs, as a function of the size of their inputs. We prove that the type system is intentionally sound, in th...

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Bibliographic Details

Published in:	Journal of automated reasoning Vol. 63; no. 4; pp. 813 - 855
Main Authors:	Baillot, Patrick, Barthe, Gilles, Dal Lago, Ugo
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.12.2019 Springer Nature B.V
Subjects:	Abstract machines Algorithms Artificial Intelligence Complexity Computer Science Cryptography Mathematical Logic and Formal Languages Mathematical Logic and Foundations Sound Symbolic and Algebraic Manipulation Upper bounds Complexity analysis Cryptographic proofs Linear dependent types Implicit computational complexity
ISSN:	0168-7433, 1573-0670
Online Access:	Get full text
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