{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PYCI6XNKPRYJ5MLRYXSCWE57S3","short_pith_number":"pith:PYCI6XNK","schema_version":"1.0","canonical_sha256":"7e048f5daa7c709eb171c5e42b13bf96de231c91a0a1eb2cda975c11f604c156","source":{"kind":"arxiv","id":"1307.4207","version":2},"attestation_state":"computed","paper":{"title":"Branching-Time Model Checking Gap-Order Constraint Systems (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Patrick Totzke, Richard Mayr","submitted_at":"2013-07-16T09:09:32Z","abstract_excerpt":"We consider the model checking problem for Gap-order Constraint Systems (GCS) w.r.t. the branching-time temporal logic CTL, and in particular its fragments EG and EF.\n  GCS are nondeterministic infinitely branching processes described by evolutions of integer-valued variables, subject to Presburger constraints of the form $x-y\\ge k$, where $x$ and $y$ are variables or constants and $k\\in\\mathbb{N}$ is a non-negative constant.\n  We show that EG model checking is undecidable for GCS, while EF is decidable. In particular, this implies the decidability of strong and weak bisimulation equivalence b"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1307.4207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-16T09:09:32Z","cross_cats_sorted":[],"title_canon_sha256":"8940cdd825970fe6a59e8f0695681e0ab7efa1547b4e51840c9e6f1640eaa384","abstract_canon_sha256":"bf4c98c48338e7831d2ca03addc461d6699d34dfb53723158c0cf945fda936fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:18.829347Z","signature_b64":"eJlF39B1jdQlMXo5rhWXwujnsTlNjoXGcr/aERDkPbSENMBmr/EZ8KupvsvWL8aqAfiyK66DJP69u5qrxNEGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e048f5daa7c709eb171c5e42b13bf96de231c91a0a1eb2cda975c11f604c156","last_reissued_at":"2026-05-18T02:26:18.828622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:18.828622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Branching-Time Model Checking Gap-Order Constraint Systems (Extended Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Patrick Totzke, Richard Mayr","submitted_at":"2013-07-16T09:09:32Z","abstract_excerpt":"We consider the model checking problem for Gap-order Constraint Systems (GCS) w.r.t. the branching-time temporal logic CTL, and in particular its fragments EG and EF.\n  GCS are nondeterministic infinitely branching processes described by evolutions of integer-valued variables, subject to Presburger constraints of the form $x-y\\ge k$, where $x$ and $y$ are variables or constants and $k\\in\\mathbb{N}$ is a non-negative constant.\n  We show that EG model checking is undecidable for GCS, while EF is decidable. 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