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Smart Proofs via Recursive Information Gathering: Decentralized Refereeing by Smart Contracts

Author

Listed:
  • Sylvain Carré

    (LEDa - Laboratoire d'Economie de Dauphine - IRD - Institut de Recherche pour le Développement - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Franck Gabriel

    (LSAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

  • Clément Hongler

    (Département de Mathématiques - EPFL - EPFL - Ecole Polytechnique Fédérale de Lausanne)

  • Gustavo Lacerda
  • Gloria Capano

    (ISIC - Institut des Sciences et Ingénierie Chimiques - EPFL - Ecole Polytechnique Fédérale de Lausanne)

Abstract

We introduce the SPRIG (Smart Proofs via Recursive Information Gathering) protocol. SPRIG allows agents to propose, question, and defend mathematical proofs in a decentralized fashion. A structure of stakes and bounties aims at producing debates in good faith and if those persist, they must go down to machine-level details, where they can be settled automatically. This combination of economic incentives and an oracle is designed to promote succinct and informative proofs. SPRIG can run autonomously as a smart contract on a blockchain platform, and hence it does not rely on a central trusted institution. We translate SPRIG into a general game-theoretic model and prove that the protocol satisfies two desirable properties: no spamming and monotonicity. We then characterize analytically the equilibrium of a simple two-player specification of the model: this provides important insights into the impact of the protocol's parameters on the probabilities that it induces type I/II errors. We conclude by discussing the main attacks SPRIG's designers will need to take into account.

Suggested Citation

  • Sylvain Carré & Franck Gabriel & Clément Hongler & Gustavo Lacerda & Gloria Capano, 2024. "Smart Proofs via Recursive Information Gathering: Decentralized Refereeing by Smart Contracts," Post-Print hal-04869191, HAL.
    • Handle: RePEc:hal:journl:hal-04869191
    DOI: 10.1145/3595298
    as

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