메뉴 건너뛰기




Volumn 7364 LNAI, Issue , 2012, Pages 118-133

From strong amalgamability to modularity of quantifier-free interpolation

Author keywords

[No Author keywords available]

Indexed keywords

COMPONENT THEORIES; INTERPOLANTS; INTERPOLATION ALGORITHMS; SUFFICIENT AND NECESSARY CONDITION; SUFFICIENT CONDITIONS; SYNTACTIC CHARACTERIZATION;

EID: 84863633080     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-31365-3_12     Document Type: Conference Paper
Times cited : (9)

References (32)
  • 1
    • 51249187249 scopus 로고
    • Amalgamation properties and interpolation theorems for equational theories
    • Bacsich, P.D.: Amalgamation properties and interpolation theorems for equational theories. Algebra Universalis 5, 45-55 (1975)
    • (1975) Algebra Universalis , vol.5 , pp. 45-55
    • Bacsich, P.D.1
  • 2
    • 48949106358 scopus 로고    scopus 로고
    • cSIsat: Interpolation for LA+EUF
    • Gupta, A., Malik, S. (eds.) CAV 2008. Springer, Heidelberg
    • Beyer, D., Zufferey, D., Majumdar, R.: cSIsat: Interpolation for LA+EUF. In: Gupta, A., Malik, S. (eds.) CAV 2008. LNCS, vol. 5123, pp. 304-308. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5123 , pp. 304-308
    • Beyer, D.1    Zufferey, D.2    Majumdar, R.3
  • 3
    • 26444487547 scopus 로고    scopus 로고
    • Efficient satisfiability modulo theories via delayed theory combination
    • Computer Aided Verification: 17th International Conference, CAV 2005. Proceedings
    • Bozzano, M., Bruttomesso, R., Cimatti, A., Junttila, T., Ranise, S., van Rossum, P., Sebastiani, R.: Efficient Satisfiability Modulo Theories via Delayed Theory Combination. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 335-349. Springer, Heidelberg (2005) (Pubitemid 41431746)
    • (2005) Lecture Notes in Computer Science , vol.3576 , pp. 335-349
    • Bozzano, M.1    Bruttomesso, R.2    Cimatti, A.3    Junttila, T.4    Ranise, S.5    Van Rossum, P.6    Sebastiani, R.7
  • 4
    • 77955264859 scopus 로고    scopus 로고
    • An Interpolating Sequent Calculus for Quantifier-Free Presburger Arithmetic
    • Giesl, J., Hähnle, R. (eds.) IJCAR 2010. Springer, Heidelberg
    • Brillout, A., Kroening, D., Rümmer, P., Wahl, T.: An Interpolating Sequent Calculus for Quantifier-Free Presburger Arithmetic. In: Giesl, J., Hähnle, R. (eds.) IJCAR 2010. LNCS, vol. 6173, pp. 384-399. Springer, Heidelberg (2010)
    • (2010) LNCS , vol.6173 , pp. 384-399
    • Brillout, A.1    Kroening, D.2    Rümmer, P.3    Wahl, T.4
  • 5
    • 79251543629 scopus 로고    scopus 로고
    • Beyond Quantifier-Free Interpolation in Extensions of Presburger Arithmetic
    • Jhala, R., Schmidt, D. (eds.) VMCAI 2011. Springer, Heidelberg
    • Brillout, A., Kroening, D., Rümmer, P., Wahl, T.: Beyond Quantifier-Free Interpolation in Extensions of Presburger Arithmetic. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol. 6538, pp. 88-102. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6538 , pp. 88-102
    • Brillout, A.1    Kroening, D.2    Rümmer, P.3    Wahl, T.4
  • 6
    • 80054020147 scopus 로고    scopus 로고
    • A Combination of Rewriting and Constraint Solving for the Quantifier-Free Interpolation of Arrays with Integer Difference Constraints
    • Tinelli, C., Sofronie-Stokkermans, V. (eds.) FroCos 2011. Springer, Heidelberg
    • Bruttomesso, R., Ghilardi, S., Ranise, S.: A Combination of Rewriting and Constraint Solving for the Quantifier-Free Interpolation of Arrays with Integer Difference Constraints. In: Tinelli, C., Sofronie-Stokkermans, V. (eds.) FroCos 2011. LNCS, vol. 6989, pp. 103-118. Springer, Heidelberg (2011)
    • (2011) LNCS , vol.6989 , pp. 103-118
    • Bruttomesso, R.1    Ghilardi, S.2    Ranise, S.3
  • 7
    • 80054020416 scopus 로고    scopus 로고
    • Rewriting-based Quantifier-free Interpolation for a Theory of Arrays
    • Bruttomesso, R., Ghilardi, S., Ranise, S.: Rewriting-based Quantifier-free Interpolation for a Theory of Arrays. In: RTA (2011)
    • (2011) RTA
    • Bruttomesso, R.1    Ghilardi, S.2    Ranise, S.3
  • 11
    • 47249098423 scopus 로고    scopus 로고
    • Efficient Interpolant Generation in Satisfiability Modulo Theories
    • Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. Springer, Heidelberg
    • Cimatti, A., Griggio, A., Sebastiani, R.: Efficient Interpolant Generation in Satisfiability Modulo Theories. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 397-412. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.4963 , pp. 397-412
    • Cimatti, A.1    Griggio, A.2    Sebastiani, R.3
  • 13
    • 69949143317 scopus 로고    scopus 로고
    • Ground Interpolation for the Theory of Equality
    • Kowalewski, S., Philippou, A. (eds.) TACAS 2009. Springer, Heidelberg
    • Fuchs, A., Goel, A., Grundy, J., Krstić, S., Tinelli, C.: Ground Interpolation for the Theory of Equality. In: Kowalewski, S., Philippou, A. (eds.) TACAS 2009. LNCS, vol. 5505, pp. 413-427. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5505 , pp. 413-427
    • Fuchs, A.1    Goel, A.2    Grundy, J.3    Krstić, S.4    Tinelli, C.5
  • 14
    • 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 (2004)
    • (2004) Journal of Automated Reasoning , vol.33 , Issue.3-4 , pp. 221-249
    • Ghilardi, S.1
  • 15
    • 69949135753 scopus 로고    scopus 로고
    • Ground Interpolation for Combined Theories
    • Schmidt, R.A. (ed.) CADE 2009. Springer, Heidelberg
    • Goel, A., Krstić, S., Tinelli, C.: Ground Interpolation for Combined Theories. In: Schmidt, R.A. (ed.) CADE 2009. LNCS, vol. 5663, pp. 183-198. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5663 , pp. 183-198
    • Goel, A.1    Krstić, S.2    Tinelli, C.3
  • 17
    • 0002374288 scopus 로고
    • Axiomatizable classes of locally free algebras of certain types
    • Mal'cev, A.I.: Axiomatizable classes of locally free algebras of certain types. Sibirsk. Mat. Ž. 3, 729-743 (1962)
    • (1962) Sibirsk. Mat. Ž. , vol.3 , pp. 729-743
    • Mal'cev, A.I.1
  • 19
    • 0000705759 scopus 로고
    • Universal relational systems
    • Jónsson, B.: Universal relational systems. Math. Scand. 4, 193-208 (1956)
    • (1956) Math. Scand. , vol.4 , pp. 193-208
    • Jónsson, B.1
  • 21
    • 0001937886 scopus 로고
    • Categorical algebraic properties. A compendium on amalgamation, congruence extension, epimorphisms, residual smallness, and injectivity
    • Kiss, E.W., Márki, L., Pröhle, P., Tholen, W.: Categorical algebraic properties. A compendium on amalgamation, congruence extension, epimorphisms, residual smallness, and injectivity. Studia Sci. Math. Hungar. 18(1), 79-140 (1982)
    • (1982) Studia Sci. Math. Hungar. , vol.18 , Issue.1 , pp. 79-140
    • Kiss, E.W.1    Márki, L.2    Pröhle, P.3    Tholen, W.4
  • 22
    • 67650170833 scopus 로고    scopus 로고
    • Finding Loop Invariants for Programs over Arrays Using a Theorem Prover
    • Chechik, M., Wirsing, M. (eds.) FASE 2009. Springer, Heidelberg
    • Kovács, L., Voronkov, A.: Finding Loop Invariants for Programs over Arrays Using a Theorem Prover. In: Chechik, M., Wirsing, M. (eds.) FASE 2009. LNCS, vol. 5503, pp. 470-485. Springer, Heidelberg (2009)
    • (2009) LNCS , vol.5503 , pp. 470-485
    • Kovács, L.1    Voronkov, A.2
  • 24
    • 35048822487 scopus 로고    scopus 로고
    • An Interpolating Theorem Prover
    • Jensen, K., Podelski, A. (eds.) TACAS 2004. Springer, Heidelberg
    • McMillan, K.L.: An Interpolating Theorem Prover. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 16-30. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2988 , pp. 16-30
    • McMillan, K.L.1
  • 25
    • 27644576055 scopus 로고    scopus 로고
    • An Interpolating Theorem Prover
    • McMillan, K.L.: An Interpolating Theorem Prover. Theor. Comput. Sci. 345(1), 101-121 (2005)
    • (2005) Theor. Comput. Sci. , vol.345 , Issue.1 , pp. 101-121
    • McMillan, K.L.1
  • 27
    • 84976820065 scopus 로고
    • Reasoning about recursively defined data structures
    • Oppen, D.C.: Reasoning about recursively defined data structures. Journal of the ACM 27, 403-411 (1980)
    • (1980) Journal of the ACM , vol.27 , pp. 403-411
    • Oppen, D.C.1
  • 28
    • 18644376194 scopus 로고
    • The intersection property of amalgamations
    • Ringel, C.M.: The intersection property of amalgamations. J. Pure Appl. Algebra 2, 341-342 (1972)
    • (1972) J. Pure Appl. Algebra , vol.2 , pp. 341-342
    • Ringel, C.M.1
  • 30
    • 33749554178 scopus 로고    scopus 로고
    • Interpolation in Local Theory Extensions
    • Furbach, U., Shankar, N. (eds.) IJCAR 2006. Springer, Heidelberg
    • Sofronie-Stokkermans, V.: Interpolation in Local Theory Extensions. In: Furbach, U., Shankar, N. (eds.) IJCAR 2006. LNCS (LNAI), vol. 4130, pp. 235-250. Springer, Heidelberg (2006)
    • (2006) LNCS (LNAI) , vol.4130 , pp. 235-250
    • Sofronie-Stokkermans, V.1
  • 31
    • 0001225750 scopus 로고    scopus 로고
    • A new correctness proof of the Nelson-Oppen combination procedure
    • Tinelli, C., Harandi, M.T.: A new correctness proof of the Nelson-Oppen combination procedure. In: Proc. FroCoS 1996, pp. 103-119 (1996)
    • (1996) Proc. FroCoS 1996 , pp. 103-119
    • Tinelli, C.1    Harandi, M.T.2
  • 32
    • 26944486643 scopus 로고    scopus 로고
    • A Combination Method for Generating Interpolants
    • Nieuwenhuis, R. (ed.) CADE 2005. Springer, Heidelberg Extended version available as Technical Report MSR-TR-2004-108, Microsoft Research (October 2004)
    • Yorsh, G., Musuvathi, M.: A Combination Method for Generating Interpolants. In: Nieuwenhuis, R. (ed.) CADE 2005. LNCS (LNAI), vol. 3632, pp. 353-368. Springer, Heidelberg (2005); Extended version available as Technical Report MSR-TR-2004-108, Microsoft Research (October 2004)
    • (2005) LNCS (LNAI) , vol.3632 , pp. 353-368
    • Yorsh, G.1    Musuvathi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.