{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/an-expressive-probabilistic-temporal-logic","title":"An Expressive Probabilistic Temporal Logic","arxiv_id":"1603.07453","date":"2016-03-24","proceeding":null,"authors":["Bruno Woltzenlogel Paleo"],"abstract":"This paper argues that a combined treatment of probabilities, time and\nactions is essential for an appropriate logical account of the notion of\nprobability; and, based on this intuition, describes an expressive\nprobabilistic temporal logic for reasoning about actions with uncertain\noutcomes. The logic is modal and higher-order: modalities annotated by actions\nare used to express possibility and necessity of propositions in the next\nstates resulting from the actions, and a higher-order function is needed to\nexpress the probability operator. The proposed logic is shown to be an adequate\nextension of classical mathematical probability theory, and its expressiveness\nis illustrated through the formalization of the Monty Hall problem.","url_abs":"http://arxiv.org/abs/1603.07453v2","url_pdf":"http://arxiv.org/pdf/1603.07453v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"an-expressive-probabilistic-temporal-logic","repo_url":"https://github.com/Paradoxika/ProbLogic","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}