{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T16:31:11Z","timestamp":1648830671099},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1996,5,1]],"date-time":"1996-05-01T00:00:00Z","timestamp":830908800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Arch Math Logic"],"published-print":{"date-parts":[[1996,5]]},"DOI":"10.1007\/bf01268616","type":"journal-article","created":{"date-parts":[[2005,3,24]],"date-time":"2005-03-24T02:54:15Z","timestamp":1111632855000},"page":"157-171","source":"Crossref","is-referenced-by-count":4,"title":["A double arity hierarchy theorem for transitive closure logic"],"prefix":"10.1007","volume":"35","author":[{"given":"Martin","family":"Grohe","sequence":"first","affiliation":[]},{"given":"Lauri","family":"Hella","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF01268616_CR1","first-page":"25","volume-title":"Model-Theoretic Logics","author":"H.-D. Ebbinghaus","year":"1985","unstructured":"Ebbinghaus, H.-D.: Extended logics: The general framework. In: Barwise, J., Feferman, S. (eds.) Model-Theoretic Logics, pp. 25\u201376. Berlin Heidelberg New York: Springer 1985"},{"key":"BF01268616_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2355-7","volume-title":"Mathematical Logic","author":"H.-D. Ebbinghaus","year":"1994","unstructured":"Ebbinghaus, H.-D., Flum, J., Thomas, W.: Mathematical Logic, 2nd edn. Berlin Heidelberg New York: Springer, 1994.","edition":"2nd edn."},{"key":"BF01268616_CR3","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1006\/inco.1995.1081","volume":"119","author":"E. Gr\u00e4del","year":"1995","unstructured":"Gr\u00e4del, E., McColm, G.: On the power of deterministic transitive closures. Inf. Comput.119, 129\u2013135 (1995)","journal-title":"Inf. Comput."},{"key":"BF01268616_CR4","unstructured":"Grohe, M.: The Structure of Fixed-Point Logics. PhD thesis, Albert-Ludwigs Univerit\u00e4t Freiburg (1994)"},{"key":"BF01268616_CR5","doi-asserted-by":"crossref","unstructured":"Grohe, M.: Arity hierarchies. Ann. Pure Appl. Logic (to appear)","DOI":"10.1016\/0168-0072(95)00072-0"},{"key":"BF01268616_CR6","doi-asserted-by":"crossref","first-page":"517","DOI":"10.2307\/2275847","volume":"60","author":"M. Grohe","year":"1995","unstructured":"Grohe, M.: Complete problems for fixed-point logics. J. Symb. Logic60, 517\u2013527 (1995)","journal-title":"J. Symb. Logic"},{"key":"BF01268616_CR7","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0168-0072(89)90070-5","volume":"43","author":"L. Hella","year":"1989","unstructured":"Hella, L.: Definability hierarchies of generalized quantifiers. Ann. Pure Appl. Logic43, 235\u2013271 (1989)","journal-title":"Ann. Pure Appl. Logic"},{"key":"BF01268616_CR8","unstructured":"Hella, L.: Logical hierarchies in PTIME. Inform. Comput. (to appear)"},{"key":"BF01268616_CR9","doi-asserted-by":"crossref","first-page":"760","DOI":"10.1137\/0216051","volume":"16","author":"N. Immerman","year":"1987","unstructured":"Immerman, N.: Languages that capture complexity classes. SIAM J. Comput.16, 760\u2013778 (1987)","journal-title":"SIAM J. Comput."},{"key":"BF01268616_CR10","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1305\/ndjfl\/1093636521","volume":"27","author":"A.H. Mekler","year":"1986","unstructured":"Mekler, A.H., Shelah, S.: Stationary logic and its friends II. Notre Dame J. Form. Logic27, 39\u201350 (1986)","journal-title":"Notre Dame J. Form. Logic"},{"key":"BF01268616_CR11","unstructured":"Mostowski, M.: The logic of divisibility. J. Symb. Logic. (to appear)"}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01268616.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01268616\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01268616","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T18:13:50Z","timestamp":1556648030000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01268616"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,5]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1996,5]]}},"alternative-id":["BF01268616"],"URL":"https:\/\/doi.org\/10.1007\/bf01268616","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,5]]}}}