{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HHFH65HXCPRBFUDLGFRR6JHLLT","short_pith_number":"pith:HHFH65HX","schema_version":"1.0","canonical_sha256":"39ca7f74f713e212d06b31631f24eb5cf2125bcfecb6f3a6c946d5f721afcb19","source":{"kind":"arxiv","id":"1307.2004","version":1},"attestation_state":"computed","paper":{"title":"Imperative Programs as Proofs via Game Semantics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Guy McCusker, Jim Laird, Martin Churchill","submitted_at":"2013-07-08T09:36:39Z","abstract_excerpt":"Game semantics extends the Curry-Howard isomorphism to a three-way correspondence: proofs, programs, strategies. But the universe of strategies goes beyond intuitionistic logics and lambda calculus, to capture stateful programs. In this paper we describe a logical counterpart to this extension, in which proofs denote such strategies. The system is expressive: it contains all of the connectives of Intuitionistic Linear Logic, and first-order quantification. Use of Laird's sequoid operator allows proofs with imperative behaviour to be expressed. Thus, we can embed first-order Intuitionistic Line"},"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":"1307.2004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-07-08T09:36:39Z","cross_cats_sorted":[],"title_canon_sha256":"724dd5b73b9959aacd45a2e0abdf67af2665b0f202bedb9336ad8ea110a060fa","abstract_canon_sha256":"6dea6b959bbce778373beb5ba1564af30ac97cf3c5ecfa206a52ff91b89b18ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:02.809295Z","signature_b64":"0++3SG50P2R3UmyX3gcRBO8NyKrR8+lqv7Ppn8a6+axV+Qgs4pzRfm2msd8PX4Arf2d2qsOObvb7OcPcpO2YCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39ca7f74f713e212d06b31631f24eb5cf2125bcfecb6f3a6c946d5f721afcb19","last_reissued_at":"2026-05-18T03:19:02.808633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:02.808633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Imperative Programs as Proofs via Game Semantics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Guy McCusker, Jim Laird, Martin Churchill","submitted_at":"2013-07-08T09:36:39Z","abstract_excerpt":"Game semantics extends the Curry-Howard isomorphism to a three-way correspondence: proofs, programs, strategies. But the universe of strategies goes beyond intuitionistic logics and lambda calculus, to capture stateful programs. In this paper we describe a logical counterpart to this extension, in which proofs denote such strategies. The system is expressive: it contains all of the connectives of Intuitionistic Linear Logic, and first-order quantification. Use of Laird's sequoid operator allows proofs with imperative behaviour to be expressed. Thus, we can embed first-order Intuitionistic Line"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2004","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.2004","created_at":"2026-05-18T03:19:02.808723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.2004v1","created_at":"2026-05-18T03:19:02.808723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2004","created_at":"2026-05-18T03:19:02.808723+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHFH65HXCPRB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHFH65HXCPRBFUDL","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHFH65HX","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT","json":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT.json","graph_json":"https://pith.science/api/pith-number/HHFH65HXCPRBFUDLGFRR6JHLLT/graph.json","events_json":"https://pith.science/api/pith-number/HHFH65HXCPRBFUDLGFRR6JHLLT/events.json","paper":"https://pith.science/paper/HHFH65HX"},"agent_actions":{"view_html":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT","download_json":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT.json","view_paper":"https://pith.science/paper/HHFH65HX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.2004&json=true","fetch_graph":"https://pith.science/api/pith-number/HHFH65HXCPRBFUDLGFRR6JHLLT/graph.json","fetch_events":"https://pith.science/api/pith-number/HHFH65HXCPRBFUDLGFRR6JHLLT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT/action/storage_attestation","attest_author":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT/action/author_attestation","sign_citation":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT/action/citation_signature","submit_replication":"https://pith.science/pith/HHFH65HXCPRBFUDLGFRR6JHLLT/action/replication_record"}},"created_at":"2026-05-18T03:19:02.808723+00:00","updated_at":"2026-05-18T03:19:02.808723+00:00"}