{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T13:51:52Z","timestamp":1725889912332},"publisher-location":"Berlin, Heidelberg","reference-count":25,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642331244"},{"type":"electronic","value":"9783642331251"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33125-1_5","type":"book-chapter","created":{"date-parts":[[2012,8,29]],"date-time":"2012-08-29T06:47:24Z","timestamp":1346222844000},"page":"24-40","source":"Crossref","is-referenced-by-count":16,"title":["Modular Static Analysis with Zonotopes"],"prefix":"10.1007","author":[{"given":"Eric","family":"Goubault","sequence":"first","affiliation":[]},{"given":"Sylvie","family":"Putot","sequence":"additional","affiliation":[]},{"given":"Franck","family":"V\u00e9drine","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"5_CR1","unstructured":"Beezer, R.: A First Course in Linear Algebra (2006), \n                    \n                      http:\/\/linear.ups.edu\/online.html"},{"issue":"4","key":"5_CR2","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1017\/S0956796800000496","volume":"2","author":"F. Bourdoncle","year":"1992","unstructured":"Bourdoncle, F.: Abstract interpretation by dynamic partitioning. J. Funct. Program.\u00a02(4), 407\u2013423 (1992)","journal-title":"J. Funct. Program."},{"key":"5_CR3","doi-asserted-by":"crossref","unstructured":"Cousot, P., Cousot, R.: Static determination of dynamic properties of recursive procedures. In: Formal Description of Programming Concepts, pp. 237\u2013277. North-Holland (1977)","DOI":"10.1145\/800022.808314"},{"issue":"4","key":"5_CR4","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1093\/logcom\/2.4.511","volume":"2","author":"P. Cousot","year":"1992","unstructured":"Cousot, P., Cousot, R.: Abstract interpretation frameworks. Journal of Logic and Computation\u00a02(4), 511\u2013547 (1992)","journal-title":"Journal of Logic and Computation"},{"key":"5_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/3-540-45937-5_13","volume-title":"Compiler Construction","author":"P. Cousot","year":"2002","unstructured":"Cousot, P., Cousot, R.: Modular Static Program Analysis. In: Horspool, R.N. (ed.) CC 2002. LNCS, vol.\u00a02304, pp. 159\u2013179. Springer, Heidelberg (2002)"},{"key":"5_CR6","doi-asserted-by":"crossref","unstructured":"Cousot, P., Halbwachs, N.: Automatic discovery of linear restraints among variables of a program. In: POPL 1978, pp. 84\u201396. ACM (1978)","DOI":"10.1145\/512760.512770"},{"key":"5_CR7","unstructured":"Comba, J.L.D., Stolfi, J.: Affine arithmetic and its applications to computer graphics. In: SIBGRAPI 1993 (1993)"},{"key":"5_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/978-3-642-04570-7_6","volume-title":"Formal Methods for Industrial Critical Systems","author":"D. Delmas","year":"2009","unstructured":"Delmas, D., Goubault, E., Putot, S., Souyris, J., Tekkal, K., V\u00e9drine, F.: Towards an Industrial Use of FLUCTUAT on Safety-Critical Avionics Software. In: Alpuente, M., Cook, B., Joubert, C. (eds.) FMICS 2009. LNCS, vol.\u00a05825, pp. 53\u201369. Springer, Heidelberg (2009)"},{"key":"5_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1007\/978-3-642-02658-4_47","volume-title":"Computer Aided Verification","author":"K. Ghorbal","year":"2009","unstructured":"Ghorbal, K., Goubault, E., Putot, S.: The Zonotope Abstract Domain Taylor1+. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol.\u00a05643, pp. 627\u2013633. Springer, Heidelberg (2009)"},{"key":"5_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1007\/978-3-642-14295-6_22","volume-title":"Computer Aided Verification","author":"K. Ghorbal","year":"2010","unstructured":"Ghorbal, K., Goubault, E., Putot, S.: A Logical Product Approach to Zonotope Intersection. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol.\u00a06174, pp. 212\u2013226. Springer, Heidelberg (2010)"},{"key":"5_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1007\/11823230_3","volume-title":"Static Analysis","author":"\u00c9. Goubault","year":"2006","unstructured":"Goubault, \u00c9., Putot, S.: Static Analysis of Numerical Algorithms. In: Yi, K. (ed.) SAS 2006. LNCS, vol.\u00a04134, pp. 18\u201334. Springer, Heidelberg (2006)"},{"key":"5_CR12","unstructured":"Goubault, E., Putot, S.: A zonotopic framework for functional abstractions. CoRR, abs\/0910.1763 (2009)"},{"key":"5_CR13","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1007\/978-3-642-18275-4_17","volume-title":"Verification, Model Checking, and Abstract Interpretation","author":"E. Goubault","year":"2011","unstructured":"Goubault, E., Putot, S.: Static Analysis of Finite Precision Computations. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol.\u00a06538, pp. 232\u2013247. Springer, Heidelberg (2011)"},{"key":"5_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/978-3-540-71316-6_18","volume-title":"Programming Languages and Systems","author":"S. Gulwani","year":"2007","unstructured":"Gulwani, S., Tiwari, A.: Computing Procedure Summaries for Interprocedural Analysis. In: De Nicola, R. (ed.) ESOP 2007. LNCS, vol.\u00a04421, pp. 253\u2013267. Springer, Heidelberg (2007)"},{"key":"5_CR15","doi-asserted-by":"crossref","unstructured":"Jeannet, B., Gopan, D., Reps, T.: A relational abstraction for functions. In: Int. Workshop on Numerical and Symbolic Abstract Domains (2005)","DOI":"10.1007\/11547662_14"},{"key":"5_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1007\/978-3-540-69738-1_21","volume-title":"Verification, Model Checking, and Abstract Interpretation","author":"F. Logozzo","year":"2007","unstructured":"Logozzo, F.: Cibai: An Abstract Interpretation-Based Static Analyzer for Modular Analysis and Verification of Java Classes. In: Cook, B., Podelski, A. (eds.) VMCAI 2007. LNCS, vol.\u00a04349, pp. 283\u2013298. Springer, Heidelberg (2007)"},{"key":"5_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/3-540-44978-7_10","volume-title":"Programs as Data Objects","author":"A. Min\u00e9","year":"2001","unstructured":"Min\u00e9, A.: A New Numerical Abstract Domain Based on Difference-Bound Matrices. In: Danvy, O., Filinski, A. (eds.) PADO 2001. LNCS, vol.\u00a02053, pp. 155\u2013172. Springer, Heidelberg (2001)"},{"key":"5_CR18","doi-asserted-by":"crossref","unstructured":"M\u00fcller-Olm, M., Seidl, H.: Precise interprocedural analysis through linear algebra. In: POPL 2004, pp. 330\u2013341. ACM (2004)","DOI":"10.1145\/982962.964029"},{"key":"5_CR19","doi-asserted-by":"crossref","unstructured":"Qadeer, S., Rajamani, S.K.: Summarizing procedures in concurrent programs. In: POPL 2004, pp. 245\u2013255. ACM Press (2004)","DOI":"10.1145\/982962.964022"},{"key":"5_CR20","doi-asserted-by":"crossref","unstructured":"Rival, X., Chang, B.-Y.E.: Calling context abstraction with shapes. In: POPL, pp. 173\u2013186. ACM Press (2011)","DOI":"10.1145\/1925844.1926406"},{"key":"5_CR21","doi-asserted-by":"crossref","unstructured":"Reps, T., Horwitz, S., Sagiv, M.: Precise interprocedural dataflow analysis via graph reachability. In: POPL 1995, pp. 49\u201361. ACM (1995)","DOI":"10.1145\/199448.199462"},{"key":"5_CR22","unstructured":"Sharir, M., Pnueli, A.: Two approaches to interprocedural data-flow analysis. In: Program Flow Analysis: Theory and Applications (1981)"},{"key":"5_CR23","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/0304-3975(96)00072-2","volume":"167","author":"S. Sagiv","year":"1996","unstructured":"Sagiv, S., Reps, T.W., Horwitz, S.: Precise interprocedural dataflow analysis with applications to constant propagation. TCS\u00a0167, 131\u2013170 (1996)","journal-title":"TCS"},{"key":"5_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/978-3-540-30579-8_2","volume-title":"Verification, Model Checking, and Abstract Interpretation","author":"S. Sankaranarayanan","year":"2005","unstructured":"Sankaranarayanan, S., Sipma, H.B., Manna, Z.: Scalable Analysis of Linear Systems Using Mathematical Programming. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol.\u00a03385, pp. 25\u201341. Springer, Heidelberg (2005)"},{"key":"5_CR25","doi-asserted-by":"crossref","unstructured":"Yorsh, G., Yahav, E., Chandra, S.: Generating precise and concise procedure summaries. In: POPL 2008, pp. 221\u2013234. ACM (2008)","DOI":"10.1145\/1328897.1328467"}],"container-title":["Lecture Notes in Computer Science","Static Analysis"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33125-1_5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:56:18Z","timestamp":1620129378000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33125-1_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642331244","9783642331251"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33125-1_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}