{"paper":{"title":"Hardness of computing and approximating predicates and functions with leaderless population protocols","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.DC","authors_text":"Amanda Belleville, David Doty, David Soloveichik","submitted_at":"2018-11-03T15:36:30Z","abstract_excerpt":"Population protocols are a distributed computing model appropriate for describing massive numbers of agents with limited computational power. A population protocol \"has an initial leader\" if every valid initial configuration contains a single agent in a special \"leader\" state that helps to coordinate the computation. Although the class of predicates and functions computable with probability 1 is the same whether or not there is an initial leader (semilinear functions and predicates), it is not known whether a leader is necessary for fast computation. Efficient population protocols are generall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01235","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}