{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L2JUGIGYKIEESTVWKB2YFF4GBO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2b5b3a68816de7ed6abfe6f371e213a86e1f62669aab6374e0c7e9a65367f616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-10-02T17:03:08Z","title_canon_sha256":"21797c7968feeda7d68178785668d424d61e0432a90c05f4e23986291ec9a5a0"},"schema_version":"1.0","source":{"id":"1310.0768","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.0768","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.0768v1","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0768","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"L2JUGIGYKIEE","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L2JUGIGYKIEESTVW","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L2JUGIGY","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:e146e74006b81aaa7f17e15e207c3ba98411918f702b1ed8764cbcd4fe94a16b","target":"graph","created_at":"2026-05-18T03:11:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Several notions of bisimulation relations for probabilistic non-deterministic transition systems have been considered in the literature. We consider a novel testing-based behavioral equivalence called upper-expectation bisimilarity and develop its theory using standard results from linear algebra and functional analysis. We show that, for a wide class of systems, our new notion coincides with Segala's convex bisimilarity. We develop logical characterizations in terms of expressive probabilistic modal mu-calculi and a novel real-valued modal logic. We prove that upper-expectation bisimilarity i","authors_text":"Matteo Mio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-10-02T17:03:08Z","title":"Upper-Expectation Bisimilarity and Real-valued Modal Logics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0768","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:079ec1f491ed8443c2afd9c5c9e52cb0e90c46cce41355dbdd45e8937d8749e2","target":"record","created_at":"2026-05-18T03:11:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2b5b3a68816de7ed6abfe6f371e213a86e1f62669aab6374e0c7e9a65367f616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-10-02T17:03:08Z","title_canon_sha256":"21797c7968feeda7d68178785668d424d61e0432a90c05f4e23986291ec9a5a0"},"schema_version":"1.0","source":{"id":"1310.0768","kind":"arxiv","version":1}},"canonical_sha256":"5e934320d85208494eb650758297860ba72a189cde9c4cf91ad2bd5c8eeb8191","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e934320d85208494eb650758297860ba72a189cde9c4cf91ad2bd5c8eeb8191","first_computed_at":"2026-05-18T03:11:34.083844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:34.083844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JyQhRxeflDfMc9wXw/ctdz6GfbUd+uLFzwc8kRPJQXY0N8vf8l+v4ucYKRL0TouIOD2hqksPZqZ3m89qhk2FDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:34.084491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.0768","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:079ec1f491ed8443c2afd9c5c9e52cb0e90c46cce41355dbdd45e8937d8749e2","sha256:e146e74006b81aaa7f17e15e207c3ba98411918f702b1ed8764cbcd4fe94a16b"],"state_sha256":"84ef830b6635f9f1862ce3d0c72ffa12332a9d151f8c100847d2149170195ad4"}