메뉴 건너뛰기




Volumn 64, Issue 1 SPEC. ISS., 2007, Pages 54-75

Automatic generation of polynomial invariants of bounded degree using abstract interpretation

Author keywords

Abstract interpretation; Gr bner basis; Ideal of polynomials; Invariant

Indexed keywords

ABSTRACTING; COMPUTER PROGRAMMING; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; RANDOM NUMBER GENERATION;

EID: 33751098295     PISSN: 01676423     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.scico.2006.03.003     Document Type: Article
Times cited : (82)

References (36)
  • 1
    • 33751086557 scopus 로고    scopus 로고
    • M. Bardet, J.-C. Faugère, B. Salvy, On the complexity of Gröbner basis computation of semi-regular overdetermined algebraic equations, in: Proceedings of the International Conference on Polynomial System Solving, Conference held in Paris, France in honour of Daniel Lazard, 2004, pp. 71-74
  • 2
    • 84944083010 scopus 로고
    • Efficient chaotic iteration strategies with widenings
    • Proceedings of the International Conference on Formal Methods in Programming and their Applications, Springer-Verlag
    • Bourdoncle F. Efficient chaotic iteration strategies with widenings. Proceedings of the International Conference on Formal Methods in Programming and their Applications. Lecture Notes in Computer Science vol. 735 (1993), Springer-Verlag 128-141
    • (1993) Lecture Notes in Computer Science , vol.735 , pp. 128-141
    • Bourdoncle, F.1
  • 4
    • 0042741465 scopus 로고
    • On the mechanical derivation of loop invariants
    • Chadha R., and Plaisted D.A. On the mechanical derivation of loop invariants. Journal of Symbolic Computation 15 5-6 (1993) 705-744
    • (1993) Journal of Symbolic Computation , vol.15 , Issue.5-6 , pp. 705-744
    • Chadha, R.1    Plaisted, D.A.2
  • 5
    • 26444504160 scopus 로고    scopus 로고
    • Derivation of non-structural invariants of Petri Nets using abstract interpretation
    • Application and Theory of Petri Nets and Other Models of Concurrency: Proceedings of the 26th International Conference. Ciardo G., and Darondeau P. (Eds), Springer-Verlag
    • Clarisó R., Rodríguez-Carbonell E., and Cortadella J. Derivation of non-structural invariants of Petri Nets using abstract interpretation. In: Ciardo G., and Darondeau P. (Eds). Application and Theory of Petri Nets and Other Models of Concurrency: Proceedings of the 26th International Conference. Lecture Notes in Computer Science vol. 3536 (2005), Springer-Verlag 188-207
    • (2005) Lecture Notes in Computer Science , vol.3536 , pp. 188-207
    • Clarisó, R.1    Rodríguez-Carbonell, E.2    Cortadella, J.3
  • 7
    • 33751086837 scopus 로고    scopus 로고
    • M. Colón, Approximating the algebraic relational semantics of imperative programs, in: Giacobazzi [18], pp. 296-311
  • 8
    • 33751083895 scopus 로고    scopus 로고
    • P. Cousot, R. Cousot, Static determination of dynamic properties of programs, in: B. Robinet (Ed.), Proceedings of the 2nd International Symposium on Programming, 1976, pp. 106-130
  • 10
    • 84976789945 scopus 로고    scopus 로고
    • P. Cousot, R. Cousot, Automatic synthesis of optimal invariant assertions: Mathematical foundations, in: Proceedings of the 1977 Symposium on Artificial Intelligence and Programming Languages, 1977, pp. 1-12
  • 15
    • 0345446614 scopus 로고    scopus 로고
    • Constraint-based verification of parameterized cache coherence protocols
    • Delzanno G. Constraint-based verification of parameterized cache coherence protocols. Formal Methods in System Design 23 3 (2003) 257-301
    • (2003) Formal Methods in System Design , vol.23 , Issue.3 , pp. 257-301
    • Delzanno, G.1
  • 17
    • 33751078657 scopus 로고    scopus 로고
    • P. Freire, Pedro Freire creations, SQRT, 2002. Available at http://www.pedrofreire.com/crea2_en.htm
  • 18
    • 84864840163 scopus 로고    scopus 로고
    • Giacobazzi R. (Ed), Springer-Verlag
    • In: Giacobazzi R. (Ed). Static Analysis, Proceedings of the 11th International Symposium. Lecture Notes in Computer Science vol. 3148 (2004), Springer-Verlag
    • (2004) Lecture Notes in Computer Science , vol.3148
  • 21
    • 0024125745 scopus 로고
    • A refutational approach to geometry theorem proving
    • Kapur D. A refutational approach to geometry theorem proving. Artificial Intelligence 37 (1988) 61-93
    • (1988) Artificial Intelligence , vol.37 , pp. 61-93
    • Kapur, D.1
  • 22
    • 33751091067 scopus 로고    scopus 로고
    • D. Kapur, Automatically generating loop invariants using quantifier elimination, in: Proceedings of the 10th International Conference on Applications of Computer Algebra, 2004. Also published as Technical Report TR-CS-2003-58, Department of Computer Science, University of New Mexico, Albuquerque, USA, 2003
  • 24
    • 0016881880 scopus 로고
    • Affine relationships among variables of a program
    • Karr M. Affine relationships among variables of a program. Acta Informatica 6 (1976) 133-151
    • (1976) Acta Informatica , vol.6 , pp. 133-151
    • Karr, M.1
  • 28
    • 35048872305 scopus 로고    scopus 로고
    • A note on Karr's algorithm
    • Proceedings of the 31st International Colloquium on Automata, Languages and Programming, Springer-Verlag
    • Müller-Olm M., and Seidl H. A note on Karr's algorithm. Proceedings of the 31st International Colloquium on Automata, Languages and Programming. Lecture Notes in Computer Science vol. 3142 (2004), Springer-Verlag 1016-1028
    • (2004) Lecture Notes in Computer Science , vol.3142 , pp. 1016-1028
    • Müller-Olm, M.1    Seidl, H.2
  • 30
    • 33751082485 scopus 로고    scopus 로고
    • E. Rodríguez-Carbonell, D. Kapur, An abstract interpretation approach for automatic generation of polynomial invariants, in: Giacobazzi [18], pp. 280-295
  • 32
    • 24644452013 scopus 로고    scopus 로고
    • Program verification using automatic generation of invariants
    • Theoretical Aspects of Computing, Proceedings of the 1st International Colloquium. Liu Z., and Araki K. (Eds), Springer-Verlag
    • Rodríguez-Carbonell E., and Kapur D. Program verification using automatic generation of invariants. In: Liu Z., and Araki K. (Eds). Theoretical Aspects of Computing, Proceedings of the 1st International Colloquium. Lecture Notes in Computer Science vol. 3407 (2005), Springer-Verlag 325-340
    • (2005) Lecture Notes in Computer Science , vol.3407 , pp. 325-340
    • Rodríguez-Carbonell, E.1    Kapur, D.2
  • 33
    • 33751112840 scopus 로고    scopus 로고
    • S. Sankaranarayanan, H. Sipma, Z. Manna, Constraint-based linear-relations analysis, in: Giacobazzi [18], pp. 53-68
  • 36
    • 0016025566 scopus 로고
    • The synthesis of loop predicates
    • Wegbreit B. The synthesis of loop predicates. Communications of the ACM 17 2 (1974) 102-112
    • (1974) Communications of the ACM , vol.17 , Issue.2 , pp. 102-112
    • Wegbreit, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.