{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T05:05:57Z","timestamp":1698555957265},"reference-count":9,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Based on a modification of Moss' and Parikh's topological modal language [8], we study a generalization of a weakly expressive fragment of a certain propositional modal logic of time. We define a bimodal logic comprising operators for <jats:italic>knowledge<\/jats:italic> and <jats:italic>nexttime.<\/jats:italic> These operators are interpreted in binary computation structures. We present an axiomatization of the set <jats:italic>T<\/jats:italic> of theorems valid for this class of semantical domains and prove \u2013 as the main result of this paper \u2013 its completeness. Moreover, the question of decidability of <jats:italic>T<\/jats:italic> is treated.<\/jats:p>","DOI":"10.1002\/malq.19970430205","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T02:56:57Z","timestamp":1180493817000},"page":"203-215","source":"Crossref","is-referenced-by-count":3,"title":["On Binary Computation Structures"],"prefix":"10.1002","volume":"43","author":[{"given":"Bernhard","family":"Heinemann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(95)00016-X"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-58095-6_11"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0021980"},{"key":"e_1_2_1_5_2","volume-title":"Logics of Time and Computation","author":"Goldblatt R.","year":"1987"},{"key":"e_1_2_1_6_2","unstructured":"Heinemann B. Topological modal logic of subset frames with finite descent. In: Proc. 4th Intern. Symp. Artificial Intelligence and Mathematics (AI&MATH '96) pp.83\u201386."},{"key":"e_1_2_1_7_2","unstructured":"Heinemann B. Topological Nexttime Logic. Submitted."},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(88)90024-2"},{"key":"e_1_2_1_9_2","first-page":"95","volume-title":"Proc. 4th Conference on Theoretical Aspects of Reasoning about Knowledge (TARK 1992)","author":"Moss L. S.","year":"1992"},{"key":"e_1_2_1_10_2","unstructured":"Wemrauch K. A simple introduction to computable analysis. Technical Report No. 171 Fachbereich Informatik FernUniversitat Hagen (1995)."}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430205","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430205","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T09:11:05Z","timestamp":1698484265000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430205"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430205"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430205","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}