{"paper":{"title":"Implementing Grassroots Logic Programs with Multiagent Transition Systems and AI (Full Version)","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Grassroots logic programs can be implemented correctly via deterministic multiagent transition systems using local links for shared variables.","cross_cats":["cs.AI","cs.DC","cs.LO","cs.MA"],"primary_cat":"cs.PL","authors_text":"Ehud Shapiro","submitted_at":"2026-02-06T18:30:11Z","abstract_excerpt":"Grassroots Logic Programs (GLP) is a concurrent logic programming language in which logic variables are partitioned into paired readers and writers. An assignment is produced at most once via a writer and consumed at most once via its paired reader, and may contain additional readers and/or writers. This enables the concise expression of rich multidirectional communication modalities.\n  The language was introduced together with concurrent (cGLP) and multiagent (maGLP) operational semantics. Here, we derive from these (\\ia)~dGLP, a deterministic counterpart of cGLP, and (\\ib)~madGLP, a counterp"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We prove that both madGLP and maGLP are grassroots. dGLP and madGLP are proved correct with respect to their abstract counterparts GLP and maGLP.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The single-occurrence invariant of GLP programs, which is invoked to establish disjoint substitution commutativity and thereby the correctness of the shared-variable implementation via local links.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives correct deterministic semantics for multiagent logic programs from abstract ones and uses them as specs for AI-generated Dart implementations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Grassroots logic programs can be implemented correctly via deterministic multiagent transition systems using local links for shared variables.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9f84fcb8d3171c3dfc9d9df50b0875376d99f081e5554c30d807cfb3c9c51d01"},"source":{"id":"2602.06934","kind":"arxiv","version":4},"verdict":{"id":"57f070fd-7b2e-496f-80ae-c0ace5e9fc56","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T06:08:04.154394Z","strongest_claim":"We prove that both madGLP and maGLP are grassroots. dGLP and madGLP are proved correct with respect to their abstract counterparts GLP and maGLP.","one_line_summary":"Derives correct deterministic semantics for multiagent logic programs from abstract ones and uses them as specs for AI-generated Dart implementations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The single-occurrence invariant of GLP programs, which is invoked to establish disjoint substitution commutativity and thereby the correctness of the shared-variable implementation via local links.","pith_extraction_headline":"Grassroots logic programs can be implemented correctly via deterministic multiagent transition systems using local links for shared variables."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.06934/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"92a4873dc89ac304903724b7c31c132b8d3ffce0a0b99f449c44da3400a7d7e7"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}