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Volumn 4502 LNCS, Issue , 2007, Pages 48-62

Fast reflexive arithmetic tactics the linear case and beyond

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY; HIERARCHICAL SYSTEMS; SOFTWARE PROTOTYPING; THEOREM PROVING;

EID: 38049174939     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74464-1_4     Document Type: Conference Paper
Times cited : (59)

References (29)
  • 3
    • 38049178186 scopus 로고    scopus 로고
    • Besson, F., Jensen, T., Pichardie, D.: A PCC Architecture based on Certified Abstract Interpretation. In: Proc. of 1st Int. Workshop on Emerging Applications of Abstract Interpretation, ENTCS, Springer, Heidelberg (2006)
    • Besson, F., Jensen, T., Pichardie, D.: A PCC Architecture based on Certified Abstract Interpretation. In: Proc. of 1st Int. Workshop on Emerging Applications of Abstract Interpretation, ENTCS, Springer, Heidelberg (2006)
  • 4
    • 33749615715 scopus 로고    scopus 로고
    • Proof-Carrying Code from Certified Abstract Interpretation and Fixpoint Compression
    • Besson, F., Jensen, T., Pichardie, D.: Proof-Carrying Code from Certified Abstract Interpretation and Fixpoint Compression. Theoretical Computer Science 364, 273291 (2006)
    • (2006) Theoretical Computer Science , vol.364 , pp. 273291
    • Besson, F.1    Jensen, T.2    Pichardie, D.3
  • 6
    • 23844476477 scopus 로고    scopus 로고
    • Extracting a data flow analyser in constructive logic
    • Cachera, D., Jensen, T., Pichardie, D., Rusu, V.: Extracting a data flow analyser in constructive logic. Theor. Comput. Sci. 342(1), 56-78 (2005)
    • (2005) Theor. Comput. Sci , vol.342 , Issue.1 , pp. 56-78
    • Cachera, D.1    Jensen, T.2    Pichardie, D.3    Rusu, V.4
  • 7
    • 33745462323 scopus 로고    scopus 로고
    • Chaieb, A., Nipkow, T.: Verifying and reflecting quantifier elimination for presburger arithmetic. In: Sutcliffe, G., Voronkov, A. (eds.) LPAR 2005. LNCS (LNAI), 3835, pp. 367-380. Springer, Heidelberg (2005)
    • Chaieb, A., Nipkow, T.: Verifying and reflecting quantifier elimination for presburger arithmetic. In: Sutcliffe, G., Voronkov, A. (eds.) LPAR 2005. LNCS (LNAI), vol. 3835, pp. 367-380. Springer, Heidelberg (2005)
  • 8
    • 38049165235 scopus 로고    scopus 로고
    • Une procédure de décision réflexive pour un fragment de l'arithmétique de presburger
    • Crégut, P.: Une procédure de décision réflexive pour un fragment de l'arithmétique de presburger. In Journées Francophones des Langages Applicatifs (2004)
    • (2004) Journées Francophones des Langages Applicatifs
    • Crégut, P.1
  • 9
    • 38049097600 scopus 로고    scopus 로고
    • The Coq development team. The coq proof assistant - reference manual v 8.1
    • The Coq development team. The coq proof assistant - reference manual v 8.1
  • 11
    • 33745791973 scopus 로고    scopus 로고
    • Expressiveness + automation + soundness: Towards combining SMT solvers and interactive proof assistants
    • Hermanns, H, Palsberg, J, eds, TACAS 2006 and ETAPS 2006, Springer, Heidelberg
    • Fontaine, P., Marion, J-Y., Merz, S., Nieto, L., Tiu, A.: Expressiveness + automation + soundness: Towards combining SMT solvers and interactive proof assistants. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006 and ETAPS 2006. LNCS, vol. 3920, pp. 167-181. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.3920 , pp. 167-181
    • Fontaine, P.1    Marion, J.-Y.2    Merz, S.3    Nieto, L.4    Tiu, A.5
  • 13
    • 26844557830 scopus 로고    scopus 로고
    • Grégoire, B., Mahboubi, A.: Proving equalities in a commutative ring done right in coq. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, 3603, pp. 98-113. Springer, Heidelberg (2005)
    • Grégoire, B., Mahboubi, A.: Proving equalities in a commutative ring done right in coq. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, vol. 3603, pp. 98-113. Springer, Heidelberg (2005)
  • 14
    • 33745850404 scopus 로고    scopus 로고
    • A computational approach to pocklington certificates in type theory
    • Hagiya, M, Wadler, P, eds, FLOPS 2006, Springer, Heidelberg
    • Grégoire, B., Théry, L., Werner, B.: A computational approach to pocklington certificates in type theory. In: Hagiya, M., Wadler, P. (eds.) FLOPS 2006. LNCS, vol. 3945, pp. 97-113. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.3945 , pp. 97-113
    • Grégoire, B.1    Théry, L.2    Werner, B.3
  • 15
    • 38049187442 scopus 로고    scopus 로고
    • Harrison, J, HOL light tutorial for version 2.20
    • Harrison, J.: HOL light tutorial (for version 2.20)
  • 16
    • 0032296538 scopus 로고    scopus 로고
    • A skeptic's approach to combining HOL and Maple
    • Harrison, J., Théry, L.: A skeptic's approach to combining HOL and Maple. Journal of Automated Reasoning 21, 279-294 (1998)
    • (1998) Journal of Automated Reasoning , vol.21 , pp. 279-294
    • Harrison, J.1    Théry, L.2
  • 17
    • 85046380112 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • ACM Press, New York
    • Karmarkar, N.: A new polynomial-time algorithm for linear programming. In: Proc. of the 16th ACM Symp. on Theory of Computing, pp. 302-311. ACM Press, New York (1984)
    • (1984) Proc. of the 16th ACM Symp. on Theory of Computing , pp. 302-311
    • Karmarkar, N.1
  • 19
    • 26844510450 scopus 로고    scopus 로고
    • Obua, S.: Proving bounds for real linear programs in isabelle/hol. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, 3603, pp. 227-244. Springer, Heidelberg (2005)
    • Obua, S.: Proving bounds for real linear programs in isabelle/hol. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, vol. 3603, pp. 227-244. Springer, Heidelberg (2005)
  • 20
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • Parrilo, P.A.: Semidefinite programming relaxations for semialgebraic problems. Math. Program. 96(2), 293-320 (2003)
    • (2003) Math. Program , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 21
    • 0004008510 scopus 로고
    • Two easy theories whose combination is hard
    • Technical report, Massachusetts Institute of Technology
    • Pratt, V.: Two easy theories whose combination is hard. Technical report, Massachusetts Institute of Technology (1977)
    • (1977)
    • Pratt, V.1
  • 22
    • 0026278958 scopus 로고
    • The omega test: A fast and practical integer programming algorithm for dependence analysis
    • ACM Press, New York
    • Pugh, W.: The omega test: a fast and practical integer programming algorithm for dependence analysis. In: Proc. of the 1991 ACM/IEEE conference on Supercomputing, pp. 4-13. ACM Press, New York (1991)
    • (1991) Proc. of the 1991 ACM/IEEE conference on Supercomputing , pp. 4-13
    • Pugh, W.1
  • 24
    • 0019621772 scopus 로고
    • Deciding linear inequalities by computing loop residues
    • Shostak, R.: Deciding linear inequalities by computing loop residues. J. ACM 28(4), 769-779 (1981)
    • (1981) J. ACM , vol.28 , Issue.4 , pp. 769-779
    • Shostak, R.1
  • 25
    • 34250416099 scopus 로고
    • A nullstellensatz and a positivstellensatz in semialgebraic geometry
    • Stengle, G.: A nullstellensatz and a positivstellensatz in semialgebraic geometry. Mathematische Annalen 207(2), 87-97 (1973)
    • (1973) Mathematische Annalen , vol.207 , Issue.2 , pp. 87-97
    • Stengle, G.1
  • 27
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L., Boyd, S.: Semidefinite programming. SIAM Rev. 38(1), 49-95 (1996)
    • (1996) SIAM Rev , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 28
    • 38049123086 scopus 로고    scopus 로고
    • Using a SAT solver as a fast decision procedure for propositional logic in an LCF-style theorem prover
    • August
    • Weber, T.: Using a SAT solver as a fast decision procedure for propositional logic in an LCF-style theorem prover. In: Proc. of 18th Int. Conf. on the Theorem Proving in Higher Order Logics, pp. 180-189 (August 2005)
    • (2005) Proc. of 18th Int. Conf. on the Theorem Proving in Higher Order Logics , pp. 180-189
    • Weber, T.1
  • 29
    • 4444268398 scopus 로고    scopus 로고
    • Validating sat solvers using an independent resolution-based checker: Practical implementations and other applications. In: Design, Automation and Test in Europe
    • Los Alamitos
    • Zhang, L., Malik, S.: Validating sat solvers using an independent resolution-based checker: Practical implementations and other applications. In: Design, Automation and Test in Europe, pp. 10880-10885. IEEE Computer Society, Los Alamitos (2003)
    • (2003) IEEE Computer Society , pp. 10880-10885
    • Zhang, L.1    Malik, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.