{"status":"public","related_material":{"record":[{"id":"1155","status":"public","relation":"dissertation_contains"}]},"month":"07","citation":{"ista":"Daca P, Henzinger TA, Kupriyanov A. 2016. Array folds logic. CAV: Computer Aided Verification, LNCS, vol. 9780, 230–248.","mla":"Daca, Przemyslaw, et al. <i>Array Folds Logic</i>. Vol. 9780, Springer, 2016, pp. 230–48, doi:<a href=\"https://doi.org/10.1007/978-3-319-41540-6_13\">10.1007/978-3-319-41540-6_13</a>.","chicago":"Daca, Przemyslaw, Thomas A Henzinger, and Andrey Kupriyanov. “Array Folds Logic,” 9780:230–48. Springer, 2016. <a href=\"https://doi.org/10.1007/978-3-319-41540-6_13\">https://doi.org/10.1007/978-3-319-41540-6_13</a>.","ama":"Daca P, Henzinger TA, Kupriyanov A. Array folds logic. In: Vol 9780. Springer; 2016:230-248. doi:<a href=\"https://doi.org/10.1007/978-3-319-41540-6_13\">10.1007/978-3-319-41540-6_13</a>","apa":"Daca, P., Henzinger, T. A., &#38; Kupriyanov, A. (2016). Array folds logic (Vol. 9780, pp. 230–248). Presented at the CAV: Computer Aided Verification, Toronto, Canada: Springer. <a href=\"https://doi.org/10.1007/978-3-319-41540-6_13\">https://doi.org/10.1007/978-3-319-41540-6_13</a>","ieee":"P. Daca, T. A. Henzinger, and A. Kupriyanov, “Array folds logic,” presented at the CAV: Computer Aided Verification, Toronto, Canada, 2016, vol. 9780, pp. 230–248.","short":"P. Daca, T.A. Henzinger, A. Kupriyanov, in:, Springer, 2016, pp. 230–248."},"volume":9780,"main_file_link":[{"url":"http://arxiv.org/abs/1603.06850","open_access":"1"}],"scopus_import":1,"publication_status":"published","alternative_title":["LNCS"],"quality_controlled":"1","doi":"10.1007/978-3-319-41540-6_13","year":"2016","_id":"1391","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_updated":"2023-09-07T11:58:33Z","author":[{"full_name":"Daca, Przemyslaw","first_name":"Przemyslaw","id":"49351290-F248-11E8-B48F-1D18A9856A87","last_name":"Daca"},{"orcid":"0000−0002−2985−7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","first_name":"Thomas A","full_name":"Henzinger, Thomas A"},{"last_name":"Kupriyanov","id":"2C311BF8-F248-11E8-B48F-1D18A9856A87","first_name":"Andrey","full_name":"Kupriyanov, Andrey"}],"conference":{"location":"Toronto, Canada","end_date":"2016-07-23","start_date":"2016-07-17","name":"CAV: Computer Aided Verification"},"date_published":"2016-07-13T00:00:00Z","oa_version":"Preprint","oa":1,"ec_funded":1,"abstract":[{"lang":"eng","text":"We present an extension to the quantifier-free theory of integer arrays which allows us to express counting. The properties expressible in Array Folds Logic (AFL) include statements such as &quot;the first array cell contains the array length,&quot; and &quot;the array contains equally many minimal and maximal elements.&quot; These properties cannot be expressed in quantified fragments of the theory of arrays, nor in the theory of concatenation. Using reduction to counter machines, we show that the satisfiability problem of AFL is PSPACE-complete, and with a natural restriction the complexity decreases to NP. We also show that adding either universal quantifiers or concatenation leads to undecidability.\r\nAFL contains terms that fold a function over an array. We demonstrate that folding, a well-known concept from functional languages, allows us to concisely summarize loops that count over arrays, which occurs frequently in real-life programs. We provide a tool that can discharge proof obligations in AFL, and we demonstrate on practical examples that our decision procedure can solve a broad range of problems in symbolic testing and program verification."}],"department":[{"_id":"ToHe"}],"publisher":"Springer","type":"conference","publist_id":"5818","intvolume":"      9780","project":[{"_id":"25EE3708-B435-11E9-9278-68D0E5697425","grant_number":"267989","name":"Quantitative Reactive Modeling","call_identifier":"FP7"},{"grant_number":"S 11407_N23","_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","call_identifier":"FWF"},{"call_identifier":"FWF","grant_number":"Z211","_id":"25F42A32-B435-11E9-9278-68D0E5697425","name":"The Wittgenstein Prize"}],"day":"13","page":"230 - 248","title":"Array folds logic","date_created":"2018-12-11T11:51:45Z","language":[{"iso":"eng"}]}