{"paper":{"title":"A Propositional Linear Time Logic with Time Flow Isomorphic to \\omega^2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Aleksandar Perovi\\'c, Bojan Marinkovi\\'c, Dragan Doder, Zoran Ognjanovi\\'c","submitted_at":"2013-09-03T20:14:53Z","abstract_excerpt":"Primarily guided with the idea to express zero-time transitions by means of temporal propositional language, we have developed a temporal logic where the time flow is isomorphic to ordinal $\\omega^2$ (concatenation of $\\omega$ copies of $\\omega$). If we think of $\\omega^2$ as lexicographically ordered $\\omega\\times \\omega$, then any particular zero-time transition can be represented by states whose indices are all elements of some $\\{n\\}\\times\\omega$. In order to express non-infinitesimal transitions, we have introduced a new unary temporal operator $[\\omega] $ ($\\omega$-jump), whose effect on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0829","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"}