{"paper":{"title":"A Decidable Intuitionistic Temporal Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"David Fern\\'andez-Duque, Joseph Boudou, Mart\\'in Di\\'eguez","submitted_at":"2017-04-10T13:20:11Z","abstract_excerpt":"We introduce the logic $\\sf ITL^e$, an intuitionistic temporal logic based on structures $(W,\\preccurlyeq,S)$, where $\\preccurlyeq$ is used to interpret intuitionistic implication and $S$ is a $\\preccurlyeq$-monotone function used to interpret temporal modalities. Our main result is that the satisfiability and validity problems for $\\sf ITL^e$ are decidable. We prove this by showing that the logic enjoys the strong finite model property. In contrast, we also consider a `persistent' version of the logic, $\\sf ITL^p$, whose models are similar to Cartesian products. We prove that, unlike $\\sf ITL"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02847","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"}