{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CASGQ3S3WAFDBQY7GPVH6J4IPX","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":"912e83ad0f89de23c263b505139250c0de829a28c5418abcab3da6686029393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-13T13:52:03Z","title_canon_sha256":"1bb6ecc0273f1818ef285476039edc6c751042489eb44466a0933797ad9bcef2"},"schema_version":"1.0","source":{"id":"1707.04124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04124","created_at":"2026-05-18T00:40:22Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04124v1","created_at":"2026-05-18T00:40:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04124","created_at":"2026-05-18T00:40:22Z"},{"alias_kind":"pith_short_12","alias_value":"CASGQ3S3WAFD","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CASGQ3S3WAFDBQY7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CASGQ3S3","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:94973d44da7601072b988f80969d202e2a7dd8ff8f3c24d32d39a73ce506003d","target":"graph","created_at":"2026-05-18T00:40:22Z","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":"In this paper we continue our research line on logical characterizations of behavioral metrics obtained from the definition of a metric over the set of logical properties of interest. This time we provide a characterization of both strong and weak trace metric on nondeterministic probabilistic processes, based on a minimal boolean logic L which we prove to be powerful enough to characterize strong and weak probabilistic trace equivalence. Moreover, we also prove that our characterization approach can be restated in terms of a more classic probabilistic L-model checking problem.","authors_text":"Simone Tini (University of Insubria), Valentina Castiglioni (University of Insubria)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-13T13:52:03Z","title":"Logical Characterization of Trace Metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04124","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":"sha256:6f9c75dd9637b0bf041edaaf484cc15fa36e58e197023442d47bb99430a1cb18","target":"record","created_at":"2026-05-18T00:40:22Z","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":"912e83ad0f89de23c263b505139250c0de829a28c5418abcab3da6686029393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-07-13T13:52:03Z","title_canon_sha256":"1bb6ecc0273f1818ef285476039edc6c751042489eb44466a0933797ad9bcef2"},"schema_version":"1.0","source":{"id":"1707.04124","kind":"arxiv","version":1}},"canonical_sha256":"1024686e5bb00a30c31f33ea7f27887dc02d502d964aa3416c66621cc696367f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1024686e5bb00a30c31f33ea7f27887dc02d502d964aa3416c66621cc696367f","first_computed_at":"2026-05-18T00:40:22.595122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:22.595122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4JHCpLuT4MAM7Hs3puY3sm9/r1mFQTd0CBtyWQdGvKB3eY1RIt7e+Po0a7xGNyq/HV6clEBN7U/hQQhpc96GBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:22.595676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f9c75dd9637b0bf041edaaf484cc15fa36e58e197023442d47bb99430a1cb18","sha256:94973d44da7601072b988f80969d202e2a7dd8ff8f3c24d32d39a73ce506003d"],"state_sha256":"711dd77a0217a75f42c69adb124dc9e39bd20962b65a80366fc739f153d63c2a"}