{"paper":{"title":"Making Metric Temporal Logic Rational","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Khushraj Madnani, P. K. Pandya, Shankara Narayanan Krishna","submitted_at":"2017-04-29T18:08:50Z","abstract_excerpt":"We study an extension of $\\mtl$ in pointwise time with rational expression guarded modality $\\reg_I(\\re)$ where $\\re$ is a rational expression over subformulae. We study the decidability and expressiveness of this extension ($\\mtl$+$\\varphi \\ureg_{I, \\re} \\varphi$+$\\reg_{I,\\re}\\varphi$), called $\\regmtl$, as well as its fragment $\\sfmtl$ where only star-free rational expressions are allowed. Using the technique of temporal projections, we show that $\\regmtl$ has decidable satisfiability by giving an equisatisfiable reduction to $\\mtl$. We also identify a subclass $\\mitl+\\ureg$ of $\\regmtl$ for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01501","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"}