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Multiagent Transition Systems for Composing Fault-Resilient Protocol Stacks

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arxiv 2112.13650 v17 pith:A3U54H2D submitted 2021-12-27 cs.DC cs.FLcs.MA

classification cs.DCcs.FLcs.MA
keywords protocolsystemsdistributedimplementationsspecificationtransitiongrassrootsliveness
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a novel mathematical framework for the specification and analysis of fault-resilient distributed protocols and their implementations, with the following components: 1. Transition systems that allow the specification and analysis of computations with safety and liveness faults and their fault resilience. 2. Notions of safe, live and complete implementations among transition systems and their composition, with which the correctness (safety and liveness) and completeness of a protocol stack as a whole follows from each protocol implementing correctly and completely the protocol above it in the stack. 3. Applying the notion of monotonicity, pertinent to histories of distributed computing systems, to ease the specification and proof of correctness of implementations among distributed computing systems. 4. Multiagent transition systems, further characterized as centralized/distributed and synchronous/asynchronous; safety and liveness fault-resilience of implementations among them and their composition. The framework is being employed in the specification of a grassroots ordering consensus protocol stack, with a grassroots dissemination protocol and its implementation of grassroots social networking and of sovereign cryptocurrencies, and an efficient Byzantine atomic broadcast protocols as initial applications.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Volition-Guarded Multiagent Atomic Transactions: Describing People and their Machines

    cs.DC 2026-04 unverdicted novelty 7.0 of 10

    Volition-guarded multiagent atomic transactions decompose agents into person volitions plus machine state, enabling formal specs and proofs that social networks and coins/bonds are volitionally grassroots under a new ...

  2. Volition Elicitation: Operational Semantics for People and Their Machines

    cs.PL 2026-07 conditional novelty 6.0 of 10

    vGLP extends GLP so that program reductions can be guarded by a person's expressed volition, with the UI derived from the semantics and correctness proofs for soundness, liveness, and compilation.

  3. Implementing Grassroots Logic Programs with Multiagent Transition Systems and AI (Full Version)

    cs.PL 2026-02 unverdicted novelty 6.0 of 10

    dGLP and madGLP are deterministic, implementation-ready semantics for Grassroots Logic Programs, proved correct against the abstract nondeterministic semantics.

  4. GLP: A Grassroots, Multiagent, Concurrent, Logic Programming Language for AI (Full Version)

    cs.PL 2025-10 conditional novelty 6.0 of 10

    GLP is a logic programming language whose single-reader/single-writer variables give secure channels, with proofs that multiagent GLP computations are deductions and that multiagent GLP is a grassroots protocol.

  5. GLP: A Grassroots, Multiagent, Concurrent, Logic Programming Language for AI

    cs.PL 2026-07 conditional novelty 5.0 of 10

    GLP is a single-assignment concurrent logic language whose multiagent semantics is claimed to guarantee that any program using cold-calls yields a grassroots platform, with the proof deferred to the full paper.

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