{"intvolume":" 6638","citation":{"short":"K. Chatterjee, N. Fijalkow, in:, Springer, 2011, pp. 216–226.","mla":"Chatterjee, Krishnendu, and Nathanaël Fijalkow. Finitary Languages. Vol. 6638, Springer, 2011, pp. 216–26, doi:10.1007/978-3-642-21254-3_16.","ama":"Chatterjee K, Fijalkow N. Finitary languages. In: Vol 6638. Springer; 2011:216-226. doi:10.1007/978-3-642-21254-3_16","ieee":"K. Chatterjee and N. Fijalkow, “Finitary languages,” presented at the LATA: Language and Automata Theory and Applications, Tarragona, Spain, 2011, vol. 6638, pp. 216–226.","chicago":"Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Finitary Languages,” 6638:216–26. Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_16.","apa":"Chatterjee, K., & Fijalkow, N. (2011). Finitary languages (Vol. 6638, pp. 216–226). Presented at the LATA: Language and Automata Theory and Applications, Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_16","ista":"Chatterjee K, Fijalkow N. 2011. Finitary languages. LATA: Language and Automata Theory and Applications, LNCS, vol. 6638, 216–226."},"date_published":"2011-06-16T00:00:00Z","quality_controlled":"1","title":"Finitary languages","project":[{"call_identifier":"FWF","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23"}],"main_file_link":[{"url":"http://arxiv.org/abs/1101.1727","open_access":"1"}],"month":"06","year":"2011","alternative_title":["LNCS"],"oa_version":"Preprint","date_updated":"2021-01-12T07:42:50Z","publist_id":"3274","status":"public","external_id":{"arxiv":["1101.1727"]},"author":[{"last_name":"Chatterjee","orcid":"0000-0002-4561-241X","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu"},{"first_name":"Nathanaël","last_name":"Fijalkow","full_name":"Fijalkow, Nathanaël","id":"A1B5DD72-E997-11E9-8398-E808B6C6ADC0"}],"conference":{"location":"Tarragona, Spain","start_date":"2011-05-26","end_date":"2011-05-31","name":"LATA: Language and Automata Theory and Applications"},"type":"conference","doi":"10.1007/978-3-642-21254-3_16","page":"216 - 226","publisher":"Springer","day":"16","department":[{"_id":"KrCh"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"The class of omega-regular languages provides a robust specification language in verification. Every omega-regular condition can be decomposed into a safety part and a liveness part. The liveness part ensures that something good happens "eventually". Finitary liveness was proposed by Alur and Henzinger as a stronger formulation of liveness. It requires that there exists an unknown, fixed bound b such that something good happens within b transitions. In this work we consider automata with finitary acceptance conditions defined by finitary Buchi, parity and Streett languages. We study languages expressible by such automata: we give their topological complexity and present a regular-expression characterization. We compare the expressive power of finitary automata and give optimal algorithms for classical decisions questions. We show that the finitary languages are Sigma 2-complete; we present a complete picture of the expressive power of various classes of automata with finitary and infinitary acceptance conditions; we show that the languages defined by finitary parity automata exactly characterize the star-free fragment of omega B-regular languages; and we show that emptiness is NLOGSPACE-complete and universality as well as language inclusion are PSPACE-complete for finitary parity and Streett automata."}],"volume":6638,"date_created":"2018-12-11T12:02:48Z","publication_status":"published","language":[{"iso":"eng"}],"_id":"3347","scopus_import":1,"oa":1}