메뉴 건너뛰기




Volumn 7148 LNCS, Issue , 2012, Pages 235-250

Donut domains: Efficient non-convex domains for abstract interpretation

Author keywords

[No Author keywords available]

Indexed keywords

ABSTRACT DOMAINS; ABSTRACT INTERPRETATIONS; ABSTRACT OBJECT; CONVEX SET; NUMERICAL PROPERTIES; PRECISE ANALYSIS; PROGRAM ANALYSIS; RUNTIMES; STATE-SPACE;

EID: 84863418682     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-27940-9_16     Document Type: Conference Paper
Times cited : (20)

References (30)
  • 1
    • 85040905479 scopus 로고    scopus 로고
    • Coupling Policy Iteration with Semi-definite Relaxation to Compute Accurate Numerical Invariants in Static Analysis
    • Gordon, A.D. (ed.) ESOP 2010. Springer, Heidelberg
    • Adjé, A., Gaubert, S., Goubault, E.: Coupling Policy Iteration with Semi-definite Relaxation to Compute Accurate Numerical Invariants in Static Analysis. In: Gordon, A.D. (ed.) ESOP 2010. LNCS, vol. 6012, pp. 23-42. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6012 , pp. 23-42
    • Adjé, A.1    Gaubert, S.2    Goubault, E.3
  • 2
    • 48949100159 scopus 로고    scopus 로고
    • Inferring Min and Max Invariants Using Max-Plus Polyhedra
    • Alpuente, M., Vidal, G. (eds.) SAS 2008. Springer, Heidelberg
    • Allamigeon, X., Gaubert, S., Goubault, É.: Inferring Min and Max Invariants Using Max-Plus Polyhedra. In: Alpuente, M., Vidal, G. (eds.) SAS 2008. LNCS, vol. 5079, pp. 189-204. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5079 , pp. 189-204
    • Allamigeon, X.1    Gaubert, S.2    Goubault, É.3
  • 3
    • 84863421766 scopus 로고    scopus 로고
    • A hierarchy of constraint systems for data-flow analysis of constraint logic-based languages
    • Bagnara, R.: A hierarchy of constraint systems for data-flow analysis of constraint logic-based languages. In: Science of Computer Programming, pp. 2-119 (1999)
    • (1999) Science of Computer Programming , pp. 2-119
    • Bagnara, R.1
  • 4
    • 23844440861 scopus 로고    scopus 로고
    • Not necessarily closed convex polyhedra and the double description method
    • Bagnara, R., Hill, P.M., Zaffanella, E.: Not necessarily closed convex polyhedra and the double description method. Form. Asp. Comput., 222-257 (2005)
    • (2005) Form. Asp. Comput. , pp. 222-257
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 5
    • 33748993960 scopus 로고    scopus 로고
    • Widening operators for powerset domains
    • Bagnara, R., Hill, P.M., Zaffanella, E.: Widening operators for powerset domains. STTT 8(4-5), 449-466 (2006)
    • (2006) STTT , vol.8 , Issue.4-5 , pp. 449-466
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 6
    • 84867973791 scopus 로고    scopus 로고
    • Exact join detection for convex polyhedra and other numerical abstractions
    • Bagnara, R., Hill, P.M., Zaffanella, E.: Exact join detection for convex polyhedra and other numerical abstractions. Comput. Geom. 43(5), 453-473 (2010)
    • (2010) Comput. Geom. , vol.43 , Issue.5 , pp. 453-473
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 7
    • 84867965619 scopus 로고    scopus 로고
    • Inner and outer approximations of polytopes using boxes
    • Bemporad, A., Filippi, C., Torrisi, F.D.: Inner and outer approximations of polytopes using boxes. Comput. Geom. 27(2), 151-178 (2004)
    • (2004) Comput. Geom. , vol.27 , Issue.2 , pp. 151-178
    • Bemporad, A.1    Filippi, C.2    Torrisi, F.D.3
  • 8
    • 0035305161 scopus 로고    scopus 로고
    • Convexity recognition of the union of polyhedra
    • Bemporad, A., Fukuda, K., Torrisi, F.D.: Convexity recognition of the union of polyhedra. Comput. Geom. 18(3), 141-154 (2001)
    • (2001) Comput. Geom. , vol.18 , Issue.3 , pp. 141-154
    • Bemporad, A.1    Fukuda, K.2    Torrisi, F.D.3
  • 9
    • 76549087271 scopus 로고    scopus 로고
    • Decision diagrams for linear arithmetic
    • IEEE
    • Chaki, S., Gurfinkel, A., Strichman, O.: Decision diagrams for linear arithmetic. In: FMCAD, pp. 53-60. IEEE (2009)
    • (2009) FMCAD , pp. 53-60
    • Chaki, S.1    Gurfinkel, A.2    Strichman, O.3
  • 10
    • 70350302846 scopus 로고    scopus 로고
    • Interval Polyhedra: An Abstract Domain to Infer Interval Linear Relationships
    • Palsberg, J., Su, Z. (eds.) SAS 2009. Springer, Heidelberg
    • Chen, L., Miné, A., Wang, J., Cousot, P.: Interval Polyhedra: An Abstract Domain to Infer Interval Linear Relationships. In: Palsberg, J., Su, Z. (eds.) SAS 2009. LNCS, vol. 5673, pp. 309-325. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5673 , pp. 309-325
    • Chen, L.1    Miné, A.2    Wang, J.3    Cousot, P.4
  • 12
    • 85050550846 scopus 로고
    • Abstract Interpretation: A unified lattice model for static analysis of programs by construction or approximation of fixpoints
    • ACM
    • Cousot, P., Cousot, R.: Abstract Interpretation: A unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: POPL, pp. 238-252. ACM (1977)
    • (1977) POPL , pp. 238-252
    • Cousot, P.1    Cousot, R.2
  • 13
    • 85035003357 scopus 로고
    • Automatic discovery of linear restraints among the variables of a program
    • ACM January
    • Cousot, P., Halbwachs, N.: Automatic discovery of linear restraints among the variables of a program. In: POPL, pp. 84-97. ACM (January 1978)
    • (1978) POPL , pp. 84-97
    • Cousot, P.1    Halbwachs, N.2
  • 14
    • 24144496202 scopus 로고    scopus 로고
    • Automata as Abstractions
    • Cousot, R. (ed.) VMCAI 2005. Springer, Heidelberg
    • Dams, D., Namjoshi, K.S.: Automata as Abstractions. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol. 3385, pp. 216-232. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3385 , pp. 216-232
    • Dams, D.1    Namjoshi, K.S.2
  • 15
    • 70350594324 scopus 로고    scopus 로고
    • The Zonotope Abstract Domain Taylor1+
    • Bouajjani, A., Maler, O. (eds.) CAV 2009. Springer, Heidelberg
    • Ghorbal, K., Goubault, E., Putot, S.: The Zonotope Abstract Domain Taylor1+. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 627-633. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5643 , pp. 627-633
    • Ghorbal, K.1    Goubault, E.2    Putot, S.3
  • 16
    • 77954981309 scopus 로고    scopus 로고
    • A Logical Product Approach to Zonotope Intersection
    • Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. Springer, Heidelberg
    • 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. 6174, pp. 212-226. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6174 , pp. 212-226
    • Ghorbal, K.1    Goubault, E.2    Putot, S.3
  • 17
    • 84863418845 scopus 로고    scopus 로고
    • Modal intervals revisited: A mean-value extension to generalized intervals
    • Goldsztejn, A., Daney, D., Rueher, M., Taillibert, P.: Modal intervals revisited: a mean-value extension to generalized intervals. In: QCP (2005)
    • (2005) QCP
    • Goldsztejn, A.1    Daney, D.2    Rueher, M.3    Taillibert, P.4
  • 18
    • 33749834079 scopus 로고    scopus 로고
    • Static Analysis of Numerical Algorithms
    • Yi, K. (ed.) SAS 2006. Springer, Heidelberg
    • Goubault, É., Putot, S.: Static Analysis of Numerical Algorithms. In: Yi, K. (ed.) SAS 2006. LNCS, vol. 4134, pp. 18-34. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4134 , pp. 18-34
    • Goubault, É.1    Putot, S.2
  • 19
    • 38149035184 scopus 로고    scopus 로고
    • Under-Approximations of Computations in Real Numbers Based on Generalized Affine Arithmetic
    • Riis Nielson, H., Filé, G. (eds.) SAS 2007. Springer, Heidelberg
    • Goubault, É., Putot, S.: Under-Approximations of Computations in Real Numbers Based on Generalized Affine Arithmetic. In: Riis Nielson, H., Filé, G. (eds.) SAS 2007. LNCS, vol. 4634, pp. 137-152. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4634 , pp. 137-152
    • Goubault, É.1    Putot, S.2
  • 20
    • 85030149781 scopus 로고
    • Static Analysis of Linear Congruence Equalities among Variables of a Program
    • Abramsky, S. (ed.) CAAP 1991 and TAPSOFT 1991. Springer, Heidelberg
    • Granger, P.: Static Analysis of Linear Congruence Equalities Among Variables of a Program. In: Abramsky, S. (ed.) CAAP 1991 and TAPSOFT 1991. LNCS, vol. 493, pp. 169-192. Springer, Heidelberg (1991)
    • (1991) LNCS , vol.493 , pp. 169-192
    • Granger, P.1
  • 21
    • 78149261021 scopus 로고    scopus 로고
    • Boxes: A Symbolic Abstract Domain of Boxes
    • Cousot, R., Martel, M. (eds.) SAS 2010. Springer, Heidelberg
    • Gurfinkel, A., Chaki, S.: Boxes: A Symbolic Abstract Domain of Boxes. In: Cousot, R., Martel, M. (eds.) SAS 2010. LNCS, vol. 6337, pp. 287-303. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6337 , pp. 287-303
    • Gurfinkel, A.1    Chaki, S.2
  • 22
    • 84974710035 scopus 로고
    • Verification of Linear Hybrid Systems by Means of Convex Approximations
    • LeCharlier, B. (ed.) SAS 1994. Springer, Heidelberg
    • Halbwachs, N., Proy, Y.-E., Raymond, P.: Verification of Linear Hybrid Systems by Means of Convex Approximations. In: LeCharlier, B. (ed.) SAS 1994. LNCS, vol. 864, pp. 223-237. Springer, Heidelberg (1994)
    • (1994) LNCS , vol.864 , pp. 223-237
    • Halbwachs, N.1    Proy, Y.-E.2    Raymond, P.3
  • 23
    • 70350592315 scopus 로고    scopus 로고
    • Apron: A Library of Numerical Abstract Domains for Static Analysis
    • Bouajjani, A., Maler, O. (eds.) CAV 2009. Springer, Heidelberg
    • Jeannet, B., Miné, A.: Apron: A Library of Numerical Abstract Domains for Static Analysis. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 661-667. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5643 , pp. 661-667
    • Jeannet, B.1    Miné, A.2
  • 24
    • 70350222218 scopus 로고    scopus 로고
    • Generating and Analyzing Symbolic Traces of Simulink/Stateflow Models
    • Bouajjani, A., Maler, O. (eds.) CAV 2009. Springer, Heidelberg
    • Kanade, A., Alur, R., Ivančić, F., Ramesh, S., Sankaranarayanan, S., Shashidhar, K.C.: Generating and Analyzing Symbolic Traces of Simulink/Stateflow Models. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 430-445. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5643 , pp. 430-445
    • Kanade, A.1    Alur, R.2    Ivančić, F.3    Ramesh, S.4    Sankaranarayanan, S.5    Shashidhar, K.C.6
  • 26
    • 85020631868 scopus 로고
    • Array abstractions using semantic analysis of trapezoid congruences
    • Masdupuy, F.: Array abstractions using semantic analysis of trapezoid congruences. In: ICS, pp. 226-235 (1992)
    • (1992) ICS , pp. 226-235
    • Masdupuy, F.1
  • 27
    • 0034781047 scopus 로고    scopus 로고
    • The octagon abstract domain
    • October
    • Miné, A.: The octagon abstract domain. In: WCRE, pp. 310-319 (October 2001)
    • (2001) WCRE , pp. 310-319
    • Miné, A.1
  • 28
    • 79961157485 scopus 로고    scopus 로고
    • Interprocedural Exception Analysis for C++
    • Mezini, M. (ed.) ECOOP 2011. Springer, Heidelberg
    • Prabhu, P., Maeda, N., Balakrishnan, G., Ivančić, F., Gupta, A.: Interprocedural Exception Analysis for C++. In: Mezini, M. (ed.) ECOOP 2011. LNCS, vol. 6813, pp. 583-608. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6813 , pp. 583-608
    • Prabhu, P.1    Maeda, N.2    Balakrishnan, G.3    Ivančić, F.4    Gupta, A.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.