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(Public) Verifiability for Composable Protocols Without Adaptivity or Zero-Knowledge

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Provable and Practical Security (ProvSec 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13600))

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Abstract

The Universal Composability (UC) framework (FOCS ’01) is the current standard for proving security of cryptographic protocols under composition. It allows to reason about complex protocol structures in a bottom-up fashion: any building block that is UC-secure can be composed arbitrarily with any other UC-secure construction while retaining their security guarantees. Unfortunately, some protocol properties such as the verifiability of outputs require excessively strong tools to achieve in UC. In particular, “obviously secure” constructions cannot directly be shown to be UC-secure, and verifiability of building blocks does not easily carry over to verifiability of the composed construction. In this work, we study Non-Interactive (Public) Verifiability of UC protocols, i.e. under which conditions a verifier can ascertain that a party obtained a specific output from the protocol. The verifier may have been part of the protocol execution or not, as in the case of public verifiability. We consider a setting used in a number of applications where it is ok to reveal the input of the party whose output gets verified and analyze under which conditions such verifiability can generically be achieved using “cheap” cryptographic primitives. That is, we avoid having to rely on adaptively secure primitives or heavy computational tools such as NIZKs. As Non-Interactive Public Verifiability is crucial when composing protocols with a public ledger, our approach can be beneficial when designing these with provably composable security and efficiency in mind.

Funded by the European Research Council (ERC) under the European Unions’ Horizon 2020 program under grant agreement No 669255 (MPCPRO).

Supported by the Concordium Foundation and by the Independent Research Fund Denmark grants number 9040-00399B (TrA2C), number 9131-00075B (PUMA) and number 0165-00079B (Foundations of Privacy Preserving and Accountable Decentralized Protocols).

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Authors and Affiliations

  1. Aarhus University, Aarhus, Denmark

    Carsten Baum

  2. IT University Copenhagen, Copenhagen, Denmark

    Bernardo David

  3. Monash University, Melbourne, Australia

    Rafael Dowsley

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  1. Carsten Baum
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  2. Bernardo David
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  3. Rafael Dowsley
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Correspondence to Bernardo David .

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Editors and Affiliations

  1. Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Chunpeng Ge

  2. University of Wollongong, Wollongong, NSW, Australia

    Fuchun Guo

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Baum, C., David, B., Dowsley, R. (2022). (Public) Verifiability for Composable Protocols Without Adaptivity or Zero-Knowledge. In: Ge, C., Guo, F. (eds) Provable and Practical Security. ProvSec 2022. Lecture Notes in Computer Science, vol 13600. Springer, Cham. https://doi.org/10.1007/978-3-031-20917-8_17

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  • DOI: https://doi.org/10.1007/978-3-031-20917-8_17

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