Distributed immutable ledgers, or blockchains, allow the secure digitization of evidential transactions without relying on a trusted third-party. Evidential transactions involve the exchange of any form of physical evidence, such as money, birth certificate, visas, tickets, etc. Most of the time, evidential transactions occur in the context of complex procedures, called evidential protocols, among physical agents. The blockchain provides the mechanisms to transfer evidence, while smart contracts - programs executing within the blockchain in a decentralized and replicated fashion - allow encoding evidential protocols on top of a blockchain. As a smart contract foregoes trusted third-parties and runs on several machines anonymously, it constitutes a highly critical program that has to be secure and trusted-by-design. While most of the current smart contract languages focus on easy programmability, they do not directly address the need of guaranteeing trust and accountability, which becomes a significant issue when evidential protocols are encoded as smart contracts.

Cyberlogic is an enabling logical foundation for building and analyzing digital transactions that involve the exchange of digital forms of evidence. It is based on an extension of (first-order) intuitionistic predicate logic with an attestation and a knowledge modality. The key ideas underlying Cyberlogic are extremely simple, as (1) public keys correspond to authorizations, (2) transactions are specified as distributed logic programs, and (3) verifiable evidence is collected by means of distributed proof search. Verifiable evidence, in particular, are constructed from extra-logical elements such as signed documents and cryptographic signatures. Despite this conceptual simplicity of Cyberlogic, central features of authorization policies including trust, delegation, and revocation of authority are definable. An expressive temporal-epistemic logic for specifying distributed authorization policies and protocols is therefore definable in Cyberlogic using a trusted time source. We describe the distributed execution of Cyberlogic programs based on the hereditary Harrop fragment in terms of distributed proof search, and we illustrate some fundamental issues in the distributed construction of certificates. The main principles of encoding and executing cryptographic protocols in Cyberlogic are demonstrated. Finally, a functional encryption scheme is proposed for checking certificates of evidential transactions when policies are kept private.