메뉴 건너뛰기




Volumn 4603 LNAI, Issue , 2007, Pages 215-230

Towards efficient satisfiability checking for Boolean Algebra with Presburger Arithmetic

Author keywords

[No Author keywords available]

Indexed keywords

DATA STRUCTURES; DIGITAL ARITHMETIC; FORMAL LOGIC; INTEGER PROGRAMMING; LINEAR PROGRAMMING; SET THEORY; THEOREM PROVING;

EID: 35148845639     PISSN: 03029743     EISSN: 16113349     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-73595-3_15     Document Type: Conference Paper
Times cited : (55)

References (29)
  • 2
    • 0000076482 scopus 로고
    • Set partitioning: A survey
    • Balas, E., Padberg, M.W.: Set partitioning: A survey. SIAM Review 18(4), 710-760 (1976)
    • (1976) SIAM Review , vol.18 , Issue.4 , pp. 710-760
    • Balas, E.1    Padberg, M.W.2
  • 3
    • 35048835830 scopus 로고    scopus 로고
    • Barrett, C., Berezin, S.: CVC Lite: A new implementation of the cooperating validity checker. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, 3114, pp. 515-518. Springer, Heidelberg (2004)
    • Barrett, C., Berezin, S.: CVC Lite: A new implementation of the cooperating validity checker. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 515-518. Springer, Heidelberg (2004)
  • 4
    • 0002440902 scopus 로고
    • The complexity of logical theories
    • Berman, L.: The complexity of logical theories. Theoretical Computer Science 11(1), 71-77 (1980)
    • (1980) Theoretical Computer Science , vol.11 , Issue.1 , pp. 71-77
    • Berman, L.1
  • 6
    • 34547203542 scopus 로고    scopus 로고
    • Using first-order theorem provers in a data structure verification system
    • Cook, B, Podelski, A, eds, VMCAI 2007, Springer, Heidelberg
    • Bouillaguet, C., Kuncak, V., Wies, T., Zee, K., Rinard, M.: Using first-order theorem provers in a data structure verification system. In: Cook, B., Podelski, A. (eds.) VMCAI 2007. LNCS, vol. 4349, Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4349
    • Bouillaguet, C.1    Kuncak, V.2    Wies, T.3    Zee, K.4    Rinard, M.5
  • 8
    • 33744920073 scopus 로고    scopus 로고
    • Carathéodory bounds for integer cones
    • Eisenbrand, F., Shmonina, G.: Carathéodory bounds for integer cones. Operations Research Letters 34(5), 564-568 (2006), http://dx.doi.org/10. 1016/j.orl.2005.09.008
    • (2006) Operations Research Letters , vol.34 , Issue.5 , pp. 564-568
    • Eisenbrand, F.1    Shmonina, G.2
  • 9
    • 0002626181 scopus 로고
    • The first order properties of products of algebraic systems
    • Feferman, S., Vaught, R.L.: The first order properties of products of algebraic systems. Fundamenta Mathematicae 47, 57-103 (1959)
    • (1959) Fundamenta Mathematicae , vol.47 , pp. 57-103
    • Feferman, S.1    Vaught, R.L.2
  • 10
    • 9444252425 scopus 로고    scopus 로고
    • Model theoretic methods in combined constraint satisfiability
    • Ghilardi, S.: Model theoretic methods in combined constraint satisfiability. Journal of Automated Reasoning 33(3-4), 221-249 (2005)
    • (2005) Journal of Automated Reasoning , vol.33 , Issue.3-4 , pp. 221-249
    • Ghilardi, S.1
  • 12
    • 33947317189 scopus 로고    scopus 로고
    • PhD thesis, EECS Department, Massachusetts Institute of Technology February
    • Kuncak, V.: Modular Data Structure Verification. PhD thesis, EECS Department, Massachusetts Institute of Technology (February 2007)
    • (2007) Modular Data Structure Verification
    • Kuncak, V.1
  • 13
    • 26944443886 scopus 로고    scopus 로고
    • An algorithm for deciding BAPA: Boolean Algebra with Presburger Arithmetic
    • Nieuwenhuis, R, ed, Automated Deduction, CADE-20, Springer, Heidelberg
    • Kuncak, V., Nguyen, H.H., Rinard, M.: An algorithm for deciding BAPA: Boolean Algebra with Presburger Arithmetic. In: Nieuwenhuis, R. (ed.) Automated Deduction - CADE-20. LNCS (LNAI), vol. 3632, Springer, Heidelberg (2005)
    • (2005) LNCS (LNAI , vol.3632
    • Kuncak, V.1    Nguyen, H.H.2    Rinard, M.3
  • 14
    • 33845653235 scopus 로고    scopus 로고
    • Kuncak, V., Nguyen, H., Rinard, M.: Deciding Boolean Algebra with Presburger Arithmetic. J. of Automated Reasoning (2006), http://dx.doi.org/10. 1007/s10817-006-9042-1
    • Kuncak, V., Nguyen, H., Rinard, M.: Deciding Boolean Algebra with Presburger Arithmetic. J. of Automated Reasoning (2006), http://dx.doi.org/10. 1007/s10817-006-9042-1
  • 15
    • 35148892998 scopus 로고    scopus 로고
    • Kuncak, V., Rinard, M.: Decision procedures for set-valued fields. In: 1st International Workshop on Abstract Interpretation of Object-Oriented Languages (AIOOL 2005) (2005)
    • Kuncak, V., Rinard, M.: Decision procedures for set-valued fields. In: 1st International Workshop on Abstract Interpretation of Object-Oriented Languages (AIOOL 2005) (2005)
  • 16
    • 35148868522 scopus 로고    scopus 로고
    • Precise understanding of natural language
    • PhD dissertation draft February
    • Lev, I.: Precise understanding of natural language. Stanford Univeristy PhD dissertation draft (February 2007)
    • (2007) Stanford Univeristy
    • Lev, I.1
  • 17
    • 35148817300 scopus 로고    scopus 로고
    • Marnette, B., Kuncak, V., Rinard, M.: On algorithms and complexity for sets with cardinality constraints. Technical report, MIT CSAIL (August 2005)
    • Marnette, B., Kuncak, V., Rinard, M.: On algorithms and complexity for sets with cardinality constraints. Technical report, MIT CSAIL (August 2005)
  • 18
    • 33845663573 scopus 로고
    • Negative boolean constraints
    • Technical Report 94/203, Monash University August
    • Marriott, K., Odersky, M.: Negative boolean constraints. Technical Report 94/203, Monash University (August 1994)
    • (1994)
    • Marriott, K.1    Odersky, M.2
  • 19
    • 35148843099 scopus 로고    scopus 로고
    • Ohlbach, H.J., Koehler, J.: How to extend a formal system with a boolean algebra component. In: Bibel, W., Schmidt, P.H. (eds.) Automated Deduction. A Basis for Applications, III, Kluwer Academic Publishers, Dordrecht (1998)
    • Ohlbach, H.J., Koehler, J.: How to extend a formal system with a boolean algebra component. In: Bibel, W., Schmidt, P.H. (eds.) Automated Deduction. A Basis for Applications, vol. III, Kluwer Academic Publishers, Dordrecht (1998)
  • 20
    • 0019623858 scopus 로고
    • On the complexity of integer programming
    • Papadimitriou, C.H.: On the complexity of integer programming. J. ACM 28(4), 765-768 (1981)
    • (1981) J. ACM , vol.28 , Issue.4 , pp. 765-768
    • Papadimitriou, C.H.1
  • 21
    • 23844511289 scopus 로고    scopus 로고
    • Complexity of the two-variable fragment with counting quantifiers
    • Pratt-Hartmann, I.: Complexity of the two-variable fragment with counting quantifiers. Journal of Logic, Language and Information 14(3), 369-395 (2005)
    • (2005) Journal of Logic, Language and Information , vol.14 , Issue.3 , pp. 369-395
    • Pratt-Hartmann, I.1
  • 22
    • 35148841833 scopus 로고    scopus 로고
    • Prevosto, V., Waldmann, U.: SPASS+T. In: ESCoR: Empirically Successful Computerized Reasoning, 192 (2006)
    • Prevosto, V., Waldmann, U.: SPASS+T. In: ESCoR: Empirically Successful Computerized Reasoning, vol. 192 (2006)
  • 23
    • 35148891074 scopus 로고    scopus 로고
    • Ranise, S, Tinelli, C, The SMT-LIB Standard: Version 1.2. Technical report, Department of Computer Science, The University of Iowa (2006) Available at
    • Ranise, S., Tinelli, C.: The SMT-LIB Standard: Version 1.2. Technical report, Department of Computer Science, The University of Iowa (2006) Available at http ://www.SMT-LIB.org
  • 24
    • 26944502123 scopus 로고    scopus 로고
    • Quantifier-elimination for the first-order theory of boolean algebras with linear cardinality constraints
    • Benczúr, A.A, Demetrovics, J, Gottlob, G, eds, ADBIS 2004, Springer, Heidelberg
    • Revesz, P.: Quantifier-elimination for the first-order theory of boolean algebras with linear cardinality constraints. In: Benczúr, A.A., Demetrovics, J., Gottlob, G. (eds.) ADBIS 2004. LNCS, vol. 3255, Springer, Heidelberg (2004)
    • (2004) LNCS , vol.3255
    • Revesz, P.1
  • 25
    • 33645980917 scopus 로고    scopus 로고
    • The expressivity of constraint query languages with boolean algebra linear cardinality constraints
    • Eder, J, Haav, H.-M, Kalja, A, Penjam, J, eds, ADBIS 2005, Springer, Heidelberg
    • Revesz, P.Z.: The expressivity of constraint query languages with boolean algebra linear cardinality constraints. In: Eder, J., Haav, H.-M., Kalja, A., Penjam, J. (eds.) ADBIS 2005. LNCS, vol. 3631, pp. 167-182. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3631 , pp. 167-182
    • Revesz, P.Z.1
  • 26
    • 0006891667 scopus 로고
    • Hilbert bases, Caratheodory's theorem and combinatorial optimization
    • Kannan, R, Pulleyblank, W, eds, University of Waterloo Press
    • Sebö, A.: Hilbert bases, Caratheodory's theorem and combinatorial optimization. In: Kannan, R., Pulleyblank, W. (eds.) Integer Programming and Combinatorial Optimization I, University of Waterloo Press (1990)
    • (1990) Integer Programming and Combinatorial Optimization I
    • Sebö, A.1
  • 27
    • 0026239342 scopus 로고
    • PP is as hard as the polynomial-time hierarchy
    • Toda, S.: PP is as hard as the polynomial-time hierarchy. SIAM Journal on Computing 20(5), 865-877 (1991)
    • (1991) SIAM Journal on Computing , vol.20 , Issue.5 , pp. 865-877
    • Toda, S.1
  • 28
    • 0001587384 scopus 로고
    • On the abstract properties of linear independence
    • Whitney, H.: On the abstract properties of linear independence. American Journal of Mathematics 57, 509-533 (1935)
    • (1935) American Journal of Mathematics , vol.57 , pp. 509-533
    • Whitney, H.1
  • 29
    • 18144408400 scopus 로고    scopus 로고
    • Combining sets with cardinals
    • Zarba, C.G.: Combining sets with cardinals. J. of Automated Reasoning 34(1) (2005)
    • (2005) J. of Automated Reasoning , vol.34 , Issue.1
    • Zarba, C.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.