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Volumn 53, Issue 6, 2006, Pages 937-977

Solving SAT and SAT modulo theories: From an abstract davis - putnam - logemann - loveland procedure to DPLL(T)

Author keywords

SAT solvers; Satisfiability modulo theories

Indexed keywords

BACKJUMPING; CLAUSE LEARNING; SAT SOLVERS; SATISFIABILITY MODULO THEORIES;

EID: 33847102258     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/1217856.1217859     Document Type: Article
Times cited : (692)

References (57)
  • 1
    • 33847094113 scopus 로고    scopus 로고
    • ALUR, R. 1999. Timed automata. In Proceedings of the 11th International Conference on Computer Aided Verification (CAV'99) (Trento, Italy), N. Halbwachs and D. Peled, Eds. Lecture Notes in Computer Science, 1633. Springer-Verlag, New York, 8-22.
    • ALUR, R. 1999. Timed automata. In Proceedings of the 11th International Conference on Computer Aided Verification (CAV'99) (Trento, Italy), N. Halbwachs and D. Peled, Eds. Lecture Notes in Computer Science, vol. 1633. Springer-Verlag, New York, 8-22.
  • 2
    • 84943248441 scopus 로고    scopus 로고
    • ARMANDO, A., CASTELLINI, C., AND GIUNCHIGLIA, E. 2000. S AT-based procedures for temporal reasoning. In Proceedings of the 5th European Conference on Planning (Durham, UK), S. Biundo and M. Fox, Eds. Lecture Notes in Computer Science, 1809. Springer-Verlag, New York, 97-108.
    • ARMANDO, A., CASTELLINI, C., AND GIUNCHIGLIA, E. 2000. S AT-based procedures for temporal reasoning. In Proceedings of the 5th European Conference on Planning (Durham, UK), S. Biundo and M. Fox, Eds. Lecture Notes in Computer Science, vol. 1809. Springer-Verlag, New York, 97-108.
  • 3
    • 26444462481 scopus 로고    scopus 로고
    • A SAT-based decision procedure for the Boolean combination of difference constraints
    • Proceedings of the 7th International Conference on Theory and Applications of Satisfiability Testing SAT 2004, Springer-Verlag, New York
    • ARMANDO, A., CASTELLINI, C., GIUNCHIGLIA, E., AND MARATEA, M. 2004. A SAT-based decision procedure for the Boolean combination of difference constraints. In Proceedings of the 7th International Conference on Theory and Applications of Satisfiability Testing (SAT 2004). Lecture Notes in Computer Science. Springer-Verlag, New York.
    • (2004) Lecture Notes in Computer Science
    • ARMANDO, A.1    CASTELLINI, C.2    GIUNCHIGLIA, E.3    MARATEA, M.4
  • 4
    • 84948948420 scopus 로고    scopus 로고
    • A SAT based approach for solving formulas over Boolean and linear mathematical propositions
    • Proceedings of the CADE-18, Springer-Verlag, New York
    • AUDEMARD, G., BERTOLI, P., CIMATTI, A., KORNILOWICZ, A., AND SEBASTIANI, R. 2002. A SAT based approach for solving formulas over Boolean and linear mathematical propositions. In Proceedings of the CADE-18. Lecture Notes in Computer Science, vol. 2392. Springer-Verlag, New York, 195-210.
    • (2002) Lecture Notes in Computer Science , vol.2392 , pp. 195-210
    • AUDEMARD, G.1    BERTOLI, P.2    CIMATTI, A.3    KORNILOWICZ, A.4    SEBASTIANI, R.5
  • 5
    • 35048904185 scopus 로고    scopus 로고
    • BALL, T., COOK, B., LAHIRI, S. K., AND ZHANG, L. 2004. Zapato: Automatic theorem proving for predicate abstraction refinement. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, 3114. Springer-Verlag, New York. 457-461.
    • BALL, T., COOK, B., LAHIRI, S. K., AND ZHANG, L. 2004. Zapato: Automatic theorem proving for predicate abstraction refinement. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, vol. 3114. Springer-Verlag, New York. 457-461.
  • 6
    • 26444489953 scopus 로고    scopus 로고
    • BARRETT, C., DE MOURA, L., AND STUMP, A. 2005. SMT-COMP: Satisfiability modulo theories competition. In Proceedings of the 17th International Conference on Computer Aided Verification, K. Etessami and S. Rajamani, Eds. Lecture Notes in Computer Science, 3576. Springer-Verlag, New York, 20-23. (Seewww.csl.sri.com/users/demoura/smt-comp.)
    • BARRETT, C., DE MOURA, L., AND STUMP, A. 2005. SMT-COMP: Satisfiability modulo theories competition. In Proceedings of the 17th International Conference on Computer Aided Verification, K. Etessami and S. Rajamani, Eds. Lecture Notes in Computer Science, vol. 3576. Springer-Verlag, New York, 20-23. (Seewww.csl.sri.com/users/demoura/smt-comp.)
  • 7
    • 84937569311 scopus 로고    scopus 로고
    • Checking satisfiability of first-order formulas by incremental translation into SAT
    • Proceedings of the 14th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • BARRETT, C., DILL, D., AND STUMP, A. 2002. Checking satisfiability of first-order formulas by incremental translation into SAT. In Proceedings of the 14th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol. 2404. Springer-Verlag, New York.
    • (2002) Lecture Notes in Computer Science , vol.2404
    • BARRETT, C.1    DILL, D.2    STUMP, A.3
  • 8
    • 84957633777 scopus 로고    scopus 로고
    • Validity checking for combinations of theories with equality
    • Proceedings of the 1st International Conference on Formal Methods in Computer Aided Design, Springer-Verlag, New York
    • BARRETT, C., DILL, D. L., AND LEVITT, J. 1996. Validity checking for combinations of theories with equality. In Proceedings of the 1st International Conference on Formal Methods in Computer Aided Design. Lecture Notes in Computer Science, vol. 1166. Springer-Verlag, New York, 187-201.
    • (1996) Lecture Notes in Computer Science , vol.1166 , pp. 187-201
    • BARRETT, C.1    DILL, D.L.2    LEVITT, J.3
  • 10
    • 35048835830 scopus 로고    scopus 로고
    • BARRETT, C. W., AND BEREZIN, S. 2004. CVC lite: A new implementation of the cooperating validity checker. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, 3114. Springer-Verlag, New York, 515-518.
    • BARRETT, C. W., AND BEREZIN, S. 2004. CVC lite: A new implementation of the cooperating validity checker. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, vol. 3114. Springer-Verlag, New York, 515-518.
  • 13
    • 0035178618 scopus 로고    scopus 로고
    • On the relative complexity of resolution refinements and cutting planes proof systems
    • BONET, M. L., ESTEBAN, J. L., GALESI, N., AND JOHANNSEN, J. 2000. On the relative complexity of resolution refinements and cutting planes proof systems. SIAM J. Comput. 30, 5, 1462-1484.
    • (2000) SIAM J. Comput , vol.30 , Issue.5 , pp. 1462-1484
    • BONET, M.L.1    ESTEBAN, J.L.2    GALESI, N.3    JOHANNSEN, J.4
  • 14
    • 24644470145 scopus 로고    scopus 로고
    • An incremental and layered procedure for the satisfiability of linear arithmetic logic
    • Tools and Algorithms for the Construction and Analysis of Systems, 11th International Conference TACAS, Springer-Verlag, New York
    • BOZZANO, M., BRUTTOMESSO, R., CIMATTI, A., JUNTTILA, T. V. ROSSUM, P., SCHULZ, S., AND SEBASTIANI, R. 2005. An incremental and layered procedure for the satisfiability of linear arithmetic logic. In Tools and Algorithms for the Construction and Analysis of Systems, 11th International Conference (TACAS). Lecture Notes in Computer Science, vol. 3440. Springer-Verlag, New York, 317-333.
    • (2005) Lecture Notes in Computer Science , vol.3440 , pp. 317-333
    • BOZZANO, M.1    BRUTTOMESSO, R.2    CIMATTI, A.3    JUNTTILA, T.V.4    ROSSUM, P.5    SCHULZ, S.6    SEBASTIANI, R.7
  • 15
    • 84958791713 scopus 로고    scopus 로고
    • Processor verification using efficient reductions of the logic of uninterpreted functions to propositional logic
    • BRYANT, R., GERMAN, S., AND VELEV, M. 2001. Processor verification using efficient reductions of the logic of uninterpreted functions to propositional logic. ACM Trans. Computational Logic 2, 1, 93-134.
    • (2001) ACM Trans. Computational Logic , vol.2 , Issue.1 , pp. 93-134
    • BRYANT, R.1    GERMAN, S.2    VELEV, M.3
  • 16
    • 84937570704 scopus 로고    scopus 로고
    • Modeling and verifying systems using a logic of counter arithmetic with lambda expressions and uninterpreted functions
    • Proceedings of the 14th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • BRYANT, R., LAHIRI, S., AND SESHIA, S. 2002. Modeling and verifying systems using a logic of counter arithmetic with lambda expressions and uninterpreted functions. In Proceedings of the 14th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol. 2404. Springer-Verlag, New York.
    • (2002) Lecture Notes in Computer Science , vol.2404
    • BRYANT, R.1    LAHIRI, S.2    SESHIA, S.3
  • 17
    • 84974717885 scopus 로고    scopus 로고
    • Boolean satisfiability with transitivity constraints
    • BRYANT, R. E., AND VELEV, M. N. 2002. Boolean satisfiability with transitivity constraints. ACM Trans. Computational Logic 3, 4, 604-627.
    • (2002) ACM Trans. Computational Logic , vol.3 , Issue.4 , pp. 604-627
    • BRYANT, R.E.1    VELEV, M.N.2
  • 18
    • 84958772916 scopus 로고
    • Automatic verification of pipelined microprocessor control
    • Proceedings of the 6th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • BURCH, J. R., AND DILL, D. L. 1994. Automatic verification of pipelined microprocessor control. In Proceedings of the 6th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol. 818. Springer-Verlag, New York. 68-80.
    • (1994) Lecture Notes in Computer Science , vol.818 , pp. 68-80
    • BURCH, J.R.1    DILL, D.L.2
  • 19
    • 84919401135 scopus 로고
    • A machine program for theorem-proving
    • DAVIS, M., LOGEMANN, G., AND LOVELAND, D. 1962. A machine program for theorem-proving. Commun. ACM 5, 7, 394-397.
    • (1962) Commun. ACM , vol.5 , Issue.7 , pp. 394-397
    • DAVIS, M.1    LOGEMANN, G.2    LOVELAND, D.3
  • 20
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
    • DAVIS, M., AND PUTNAM, H. 1960. A computing procedure for quantification theory. J ACM 7, 201-215.
    • (1960) J ACM , vol.7 , pp. 201-215
    • DAVIS, M.1    PUTNAM, H.2
  • 22
    • 35048865999 scopus 로고    scopus 로고
    • DE MOURA, L., AND RUESS, H. 2004. An experimental evaluation of ground decision procedures. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, 3114. Springer-Verlag, New York, 162-174.
    • DE MOURA, L., AND RUESS, H. 2004. An experimental evaluation of ground decision procedures. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, vol. 3114. Springer-Verlag, New York, 162-174.
  • 24
    • 84976799536 scopus 로고
    • Variations on the common subexpressions problem
    • DOWNEY, P. J., SETHI, R., AND TARJAN, R. E. 1980. Variations on the common subexpressions problem. J. ACM 27, 4, 758-771.
    • (1980) J. ACM , vol.27 , Issue.4 , pp. 758-771
    • DOWNEY, P.J.1    SETHI, R.2    TARJAN, R.E.3
  • 26
    • 84958751994 scopus 로고    scopus 로고
    • ICS: Integrated canonization and solving (tool presentation)
    • Proceedings of the 13th International Conference on Computer Aided Verification CAV'2001, G. Berry, H. Comon, and A. Finkel, Eds, Springer-Verlag, New York
    • FILLIÂTRE, J.-C., OWRE, S., RUEß, H., AND SHANKAR, N. 2001. ICS: Integrated canonization and solving (tool presentation). In Proceedings of the 13th International Conference on Computer Aided Verification (CAV'2001). G. Berry, H. Comon, and A. Finkel, Eds. Lecture Notes in Computer Science, vol. 2102. Springer-Verlag, New York, 246-249.
    • (2001) Lecture Notes in Computer Science , vol.2102 , pp. 246-249
    • FILLIÂTRE, J.-C.1    OWRE, S.2    RUEß, H.3    SHANKAR, N.4
  • 27
    • 35248826991 scopus 로고    scopus 로고
    • Theorem proving using lazy proof explanation
    • Proceedings of the 15th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • FLANAGAN, C., JOSHI, R., OU, X., AND SAXE, J. B. 2003. Theorem proving using lazy proof explanation. In Proceedings of the 15th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol. 2725. Springer-Verlag, New York.
    • (2003) Lecture Notes in Computer Science , vol.2725
    • FLANAGAN, C.1    JOSHI, R.2    OU, X.3    SAXE, J.B.4
  • 28
    • 35048870724 scopus 로고    scopus 로고
    • GANZINGER, H., HAGEN, G., NIEUWENHUIS, R., OLIVERAS, A., AND TINELLI, C. 2004. DPLL(T): Fast Decision Procedures. In Proceedings of the 60th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, 3114. Springer-Verlag, New York, 175-188.
    • GANZINGER, H., HAGEN, G., NIEUWENHUIS, R., OLIVERAS, A., AND TINELLI, C. 2004. DPLL(T): Fast Decision Procedures. In Proceedings of the 60th International Conference on Computer Aided Verification (CAV'04) (Boston, MA). R. Alur and D. Peled, Eds. Lecture Notes in Computer Science, vol. 3114. Springer-Verlag, New York, 175-188.
  • 30
    • 33847173675 scopus 로고    scopus 로고
    • HODGES, W. 1993. Model Theory. Enclyclopedia of mathematics and its applications, 42. Cambridge University Press, Cambridge, MA.
    • HODGES, W. 1993. Model Theory. Enclyclopedia of mathematics and its applications, vol. 42. Cambridge University Press, Cambridge, MA.
  • 31
    • 4243532938 scopus 로고
    • Constraint Logic Programming: A Survey
    • JAFFAR, J., AND MAHER, M. 1994. Constraint Logic Programming: A Survey. J. Logic Prog. 29/20, 503-581.
    • (1994) J. Logic Prog , vol.29 , Issue.20 , pp. 503-581
    • JAFFAR, J.1    MAHER, M.2
  • 32
    • 35048827513 scopus 로고    scopus 로고
    • The UCLID Decision Procedure
    • Computer Aided Verification, 16th International Conference CAV, Springer-Verlag, New York
    • LAHIRI, S. K., AND SESHIA, S. A. 2004. The UCLID Decision Procedure. In Computer Aided Verification, 16th International Conference (CAV). Lecture Notes in Computer Science, vol. 3114. Springer-Verlag, New York, 475-478.
    • (2004) Lecture Notes in Computer Science , vol.3114 , pp. 475-478
    • LAHIRI, S.K.1    SESHIA, S.A.2
  • 35
    • 0032680865 scopus 로고    scopus 로고
    • GRASP: A search algorithm for prepositional satisfiability
    • May
    • MARQUES-SILVA, J., AND SAKALLAH, K. A. 1999. GRASP: A search algorithm for prepositional satisfiability. IEEE Trans. Comput. 48, 5 (May), 506-521.
    • (1999) IEEE Trans. Comput , vol.48 , Issue.5 , pp. 506-521
    • MARQUES-SILVA, J.1    SAKALLAH, K.A.2
  • 36
    • 26444519778 scopus 로고    scopus 로고
    • MEIR, O., AND STRICHMAN, O. 2005. Yet another decision procedure for equality logic. In Proceedings of the 17th International Conference on Computer Aided Verification (CAV'05) (Edimburgh, Scotland). K. Etessami and S. K. Rajamani, Eds. Lecture Notes in Computer Science, 3576. Springer-Verlag, New York, 307-320.
    • MEIR, O., AND STRICHMAN, O. 2005. Yet another decision procedure for equality logic. In Proceedings of the 17th International Conference on Computer Aided Verification (CAV'05) (Edimburgh, Scotland). K. Etessami and S. K. Rajamani, Eds. Lecture Notes in Computer Science, vol. 3576. Springer-Verlag, New York, 307-320.
  • 38
    • 9444245078 scopus 로고    scopus 로고
    • Congruence Closure with Integer Offsets
    • Proceedings of the 10h International Conference on Logic for Programming, Artificial Intelligence and Reasoning LPAR, M. Vardi and A. Voronkov, Eds, Springer-Verlag, New York
    • NIEUWENHUIS, R., AND OLIVERAS, A. 2003. Congruence Closure with Integer Offsets. In Proceedings of the 10h International Conference on Logic for Programming, Artificial Intelligence and Reasoning (LPAR), M. Vardi and A. Voronkov, Eds. Lecture Notes in Artificial Intellegence, vol. 2850. Springer-Verlag, New York, 2850. 78-90.
    • (2003) Lecture Notes in Artificial Intellegence , vol.2850
    • NIEUWENHUIS, R.1    OLIVERAS, A.2
  • 39
    • 26444452555 scopus 로고    scopus 로고
    • NIEUWENHUIS, R., AND OLIVERAS, A. 2005a. DPLL(T) with exhaustive theory propagation and its application to difference logic. In Proceedings of the 17th International Conference on Computer Aided Verification (CAV'05) (Edimburgh, Scotland). K. Etessami and S. K. Rajamani, Eds. Lecture Notes in Computer Science, 3576. Springer-Verlag, New York, 321-334.
    • NIEUWENHUIS, R., AND OLIVERAS, A. 2005a. DPLL(T) with exhaustive theory propagation and its application to difference logic. In Proceedings of the 17th International Conference on Computer Aided Verification (CAV'05) (Edimburgh, Scotland). K. Etessami and S. K. Rajamani, Eds. Lecture Notes in Computer Science, vol. 3576. Springer-Verlag, New York, 321-334.
  • 40
    • 24944515509 scopus 로고    scopus 로고
    • NIEUWENHUIS, R., AND OLIVERAS, A. 2005b. Proof-producing congruence closure. In Proceedings of the 16th International Conference on Term Rewriting and Applications (RTA'05) (Nara, Japan). J. Giesl, Ed. Lecture Notes in Computer Science, 3467. Springer-Verlag, New York, 453-468.
    • NIEUWENHUIS, R., AND OLIVERAS, A. 2005b. Proof-producing congruence closure. In Proceedings of the 16th International Conference on Term Rewriting and Applications (RTA'05) (Nara, Japan). J. Giesl, Ed. Lecture Notes in Computer Science, vol. 3467. Springer-Verlag, New York, 453-468.
  • 41
    • 26844448316 scopus 로고    scopus 로고
    • Abstract DPLL and abstract DPLL modulo theories
    • Proceedings of the 11th International Conference Logic for Programing, Artificial Intelligence and Reasoning LPAR, F. Baader and A. Voronkov, Eds, Springer-Verlag, New York
    • NIEUWENHUIS, R., OLIVERAS, A., AND TINELLI, C. 2005. Abstract DPLL and abstract DPLL modulo theories. In Proceedings of the 11th International Conference Logic for Programing, Artificial Intelligence and Reasoning (LPAR). F. Baader and A. Voronkov, Eds. Lecture Notes in Computer Science, vol. 3452. Springer-Verlag, New York, 36-50.
    • (2005) Lecture Notes in Computer Science , vol.3452 , pp. 36-50
    • NIEUWENHUIS, R.1    OLIVERAS, A.2    TINELLI, C.3
  • 42
    • 84957075583 scopus 로고    scopus 로고
    • Deciding equality formulas by small domains instantiations
    • Proceedings of the 11th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • PNUELI, A., RODEH, Y., SHTRICHMAN, O., AND SIEGEL, M. 1999. Deciding equality formulas by small domains instantiations. In Proceedings of the 11th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol. 1633. Springer-Verlag, New York. 455-469.
    • (1999) Lecture Notes in Computer Science , vol.1633 , pp. 455-469
    • PNUELI, A.1    RODEH, Y.2    SHTRICHMAN, O.3    SIEGEL, M.4
  • 48
    • 4544294526 scopus 로고    scopus 로고
    • Deciding quantifier-free presburger formulas using parameterized solution bounds
    • IEEE Computer Society Press, Los Alamitos, CA
    • SESHIA, S. A., AND BRYANT, R. E. 2004. Deciding quantifier-free presburger formulas using parameterized solution bounds. In Proceedings of the 19th IEEE Symposium on Logic in Computer Science (LICS 2004). IEEE Computer Society Press, Los Alamitos, CA, 100-109.
    • (2004) Proceedings of the 19th IEEE Symposium on Logic in Computer Science (LICS 2004) , pp. 100-109
    • SESHIA, S.A.1    BRYANT, R.E.2
  • 49
    • 84948145694 scopus 로고    scopus 로고
    • STRICHMAN, O. 2002. On solving presburger and linear arithmetic with SAT. In Proceedings of the Formal Methods in Computer-Aided Design, 4th International Conference (FMCAD 2002) (Portland, OR). M. Aagaard and J. W. O'Leary, Eds. Lecture Notes in Computer Science, 2517. Springer-Verlag, New York, 160-170.
    • STRICHMAN, O. 2002. On solving presburger and linear arithmetic with SAT. In Proceedings of the Formal Methods in Computer-Aided Design, 4th International Conference (FMCAD 2002) (Portland, OR). M. Aagaard and J. W. O'Leary, Eds. Lecture Notes in Computer Science, vol. 2517. Springer-Verlag, New York, 160-170.
  • 50
    • 84937568788 scopus 로고    scopus 로고
    • Deciding separation formulas with SAT
    • Proceedings of the 14th International Conference on Computer Aided Verification CAV, Springer-Verlag, New York
    • STRICHMAN, O., SESHIA, S. A., AND BRYANT, R. E. 2002. Deciding separation formulas with SAT. In Proceedings of the 14th International Conference on Computer Aided Verification (CAV). Lecture Notes in Computer Science, vol 2404. Springer-Verlag, New York. 209-222.
    • (2002) Lecture Notes in Computer Science , vol.2404 , pp. 209-222
    • STRICHMAN, O.1    SESHIA, S.A.2    BRYANT, R.E.3
  • 51
    • 24944538073 scopus 로고    scopus 로고
    • STUMP, A., AND TAN, L.-Y. 2005. The algebra of equality proofs. In Proceedings of the 16th International Conference on Term Rewriting and Applications, RTA'05 (Nara, Japan). J. Giesl, Ed. Lecture Notes in Computer Science, 3467. Springer-Verlag, New York, 469-483.
    • STUMP, A., AND TAN, L.-Y. 2005. The algebra of equality proofs. In Proceedings of the 16th International Conference on Term Rewriting and Applications, RTA'05 (Nara, Japan). J. Giesl, Ed. Lecture Notes in Computer Science, vol. 3467. Springer-Verlag, New York, 469-483.
  • 52
    • 35048857505 scopus 로고    scopus 로고
    • Range allocation for separation logic
    • Proceedings of the 16th International Conference on Computer Aided Verification CAV 2004, Boston, MA July 13-17, Springer-Verlag, New York
    • TALUPUR, M., SINHA, N., STRICHMAN, O., AND PNUELI, A. 2004. Range allocation for separation logic. In Proceedings of the 16th International Conference on Computer Aided Verification (CAV 2004). (Boston, MA July 13-17). Lecture Notes in Computer Science, Springer-Verlag, New York, 148-161.
    • (2004) Lecture Notes in Computer Science , pp. 148-161
    • TALUPUR, M.1    SINHA, N.2    STRICHMAN, O.3    PNUELI, A.4
  • 53
    • 77952054144 scopus 로고    scopus 로고
    • A DPLL-based calculus for ground satisfiability modulo theories
    • Proceedings of the 8th European Conference on Logics in Artificial Intelligence, Springer-Verlag, New York
    • TINELLI, C. 2002. A DPLL-based calculus for ground satisfiability modulo theories. In Proceedings of the 8th European Conference on Logics in Artificial Intelligence. Lecture Notes in Artificial Intelligence, vol. 2424. Springer-Verlag, New York, 308-319.
    • (2002) Lecture Notes in Artificial Intelligence , vol.2424 , pp. 308-319
    • TINELLI, C.1
  • 57
    • 84893807812 scopus 로고    scopus 로고
    • Validating SAT solvers using an independent resolution-based checker: Practical implementations and other applications
    • IEEE Computer Society Press, Los Alamitos, CA
    • ZHANG, L., AND MALIK, S. 2003. Validating SAT solvers using an independent resolution-based checker: Practical implementations and other applications. In Proceedings of the 2003 Design, Automation and Test in Europe Conference (DATE 2003). IEEE Computer Society Press, Los Alamitos, CA, 10880-10885.
    • (2003) Proceedings of the 2003 Design, Automation and Test in Europe Conference (DATE 2003) , pp. 10880-10885
    • ZHANG, L.1    MALIK, S.2


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