{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T12:06:39Z","timestamp":1785499599884,"version":"3.56.0"},"reference-count":4,"publisher":"Springer Science and Business Media LLC","license":[{"start":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T00:00:00Z","timestamp":1785456000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T00:00:00Z","timestamp":1785456000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001782","name":"University of Melbourne","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100001782","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Philos Logic"],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>If Socrates is running slowly, he must be running. Likewise, if he\u2019s not running, he must not be running slowly. Haze [2] proposes an extension of first-order logic inspired by this characteristic inferential behaviour of words like \u2018slowly\u2019: FOL-SA (first-order logic with scoped adverbs). Haze presents the logic model-theoretically using a hierarchy of models, where the level of a model corresponds to the number of nestings of adverb formulas within adverb formulas, and leaves open the investigation of its proof theory. In this paper we develop a semantic tableaux proof system for FOL-SA, prove its soundness and completeness, and outline some directions for further research.<\/jats:p>","DOI":"10.1007\/s10992-026-09856-4","type":"journal-article","created":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T11:53:07Z","timestamp":1785498787000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Proof Theory for a Recently-Proposed Logic of Adverbs"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-0344-8866","authenticated-orcid":false,"given":"Tamalyn Jade","family":"Davies","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2098-1892","authenticated-orcid":false,"given":"Tristan Gr\u00f8tvedt","family":"Haze","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,7,31]]},"reference":[{"key":"9856_CR1","doi-asserted-by":"crossref","unstructured":"Davidson, D. (1966). The logical form of action sentences. In: Rescher, N. (ed.), The Logic of Decision and Action (pp. 81\u201395). University of Pittsburgh Press.","DOI":"10.2307\/jj.13027259.6"},{"issue":"2","key":"9856_CR2","doi-asserted-by":"publisher","first-page":"289","DOI":"10.12775\/LLP.2024.010","volume":"33","author":"TG Haze","year":"2024","unstructured":"Haze, T. G. (2024). First-Order Logic with Adverbs. Logic and Logical Philosophy., 33(2), 289\u2013324. https:\/\/doi.org\/10.12775\/LLP.2024.010","journal-title":"Logic and Logical Philosophy."},{"key":"9856_CR3","volume-title":"Logic: The Laws of Truth","author":"NJJ Smith","year":"2012","unstructured":"Smith, N. J. J. (2012). Logic: The Laws of Truth. Princeton University Press."},{"issue":"2","key":"9856_CR4","first-page":"195","volume":"4","author":"R Thomason","year":"1973","unstructured":"Thomason, R., & Stalnaker, R. (1973). A semantic theory of adverbs. Linguistic Inquiry, 4(2), 195\u2013220.","journal-title":"Linguistic Inquiry"}],"container-title":["Journal of Philosophical Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10992-026-09856-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10992-026-09856-4","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10992-026-09856-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T11:53:08Z","timestamp":1785498788000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10992-026-09856-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,31]]},"references-count":4,"alternative-id":["9856"],"URL":"https:\/\/doi.org\/10.1007\/s10992-026-09856-4","relation":{},"ISSN":["0022-3611","1573-0433"],"issn-type":[{"value":"0022-3611","type":"print"},{"value":"1573-0433","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,31]]},"assertion":[{"value":"6 March 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 June 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 July 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}