Nothing Special   »   [go: up one dir, main page]

skip to main content
10.1145/512760.512770acmconferencesArticle/Chapter ViewAbstractPublication PagespoplConference Proceedingsconference-collections
Article
Free access

Automatic discovery of linear restraints among variables of a program

Published: 01 January 1978 Publication History
First page of PDF

References

[1]
M. L. BALINSKI, An algorithm for finding all vertices of convex polyhedral sets, J. Soc. Indust. Appl. Mathem., 9, {March 1961}
[2]
A. CHARNES, W. W. COOPER and A. HENDERSON, An Introduction to Linear Programming, J.Wiley, New-York, {1953}
[3]
P. COUSOT and R. COUSOT, Static determination of dynamic properties of programs, 2nd Int. Symposium on Programming, B. Robinet(Ed.), Dunod, Paris, {1976}
[4]
P. COUSOT and R. COUSOT, Abstracts interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints, Conf. Record of the 4th ACM Symposium on Principles of Programming Languages, {Jan.1977}
[5]
N. E. DYER and L. G. PROLL, An algorithm for determining all extreme points of a convex polytope, Mathematical Programming, 12, {1977}
[6]
M. KARR, Affine relationships among variables of a program, Acta Informatica, 6, {1976}
[7]
V. KLEE, Some characterizations of convex polyhedra, Acta Mathematica, 102, {1959}
[8]
V. KLEE, On the number of vertices of a convex polytope, Canadian J. of Mathematics, 16,{1964}
[9]
D. E. KNUTH, The art of computer programming, vol.3, Sorting and Searching, Addison-Wensley Pub.Co., Reading, Mass, {1973}
[10]
H. W. KUHN, Solvability and consistency for linear equations and inequalities, Amer. Math. Monthly, 63, {1956}
[11]
E. LANERY, Recherche d'un système générateur minimal d'un polyhedre convexe, Thèse de 3ème cycle, Caen, France, {1966}
[12]
M. MANAS and J. NEDOMA, Finding all vertices of a convex polyhedron, Numerische Mathematik, 12, {1968}
[13]
T. H. MATTHEIS, An algorithm for determining irrelevant constraints and all vertices in systems of linear inequalities, Operations Research, 21, {1973}
[14]
T. L. SAATY, The number of vertices of a polyhedron, Amer. Math. Monthly, 62, {1955}
[15]
M. SIMONNARD, Programmation Linéaire, Dunod, Paris, {1973}
[16]
N. SUZUKI and K. ISHIHATA, Implementation of an array bound checker, Conf. Record of the 4th ACM Symposium on Principles of programming languages, {Jan.1977}
[17]
B. WEGBREIT, Property extraction in well founded property sets, IEEE Trans. on Soft. Eng., vol. SE-1, no3, {Sept.1975}
[18]
H. WEYL, The elementary theory of convex polyhedra, Annals of Math. Study, 24, {1950}

Cited By

View all
  • (2024)LLM-Generated Invariants for Bounded Model Checking Without Loop UnrollingProceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering10.1145/3691620.3695512(1395-1407)Online publication date: 27-Oct-2024
  • (2024)LLM Meets Bounded Model Checking: Neuro-symbolic Loop Invariant InferenceProceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering10.1145/3691620.3695014(406-417)Online publication date: 27-Oct-2024
  • (2024)Stability: An Abstract Domain for the Trend of Variation of Numerical VariablesProceedings of the 10th ACM SIGPLAN International Workshop on Numerical and Symbolic Abstract Domains10.1145/3689609.3689995(10-17)Online publication date: 17-Oct-2024
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences
POPL '78: Proceedings of the 5th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
January 1978
264 pages
ISBN:9781450373487
DOI:10.1145/512760
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 1978

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Acceptance Rates

POPL '78 Paper Acceptance Rate 27 of 135 submissions, 20%;
Overall Acceptance Rate 824 of 4,130 submissions, 20%

Upcoming Conference

POPL '25

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)274
  • Downloads (Last 6 weeks)35
Reflects downloads up to 13 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (2024)LLM-Generated Invariants for Bounded Model Checking Without Loop UnrollingProceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering10.1145/3691620.3695512(1395-1407)Online publication date: 27-Oct-2024
  • (2024)LLM Meets Bounded Model Checking: Neuro-symbolic Loop Invariant InferenceProceedings of the 39th IEEE/ACM International Conference on Automated Software Engineering10.1145/3691620.3695014(406-417)Online publication date: 27-Oct-2024
  • (2024)Stability: An Abstract Domain for the Trend of Variation of Numerical VariablesProceedings of the 10th ACM SIGPLAN International Workshop on Numerical and Symbolic Abstract Domains10.1145/3689609.3689995(10-17)Online publication date: 17-Oct-2024
  • (2024)Automated Generation of Code Contracts: Generative AI to the Rescue?Proceedings of the 23rd ACM SIGPLAN International Conference on Generative Programming: Concepts and Experiences10.1145/3689484.3690738(1-14)Online publication date: 21-Oct-2024
  • (2024)Limits and Difficulties in the Design of Under-Approximation Abstract DomainsACM Transactions on Programming Languages and Systems10.1145/366601446:3(1-31)Online publication date: 10-Oct-2024
  • (2024)Floating-Point TVPI Abstract DomainProceedings of the ACM on Programming Languages10.1145/36563958:PLDI(442-466)Online publication date: 20-Jun-2024
  • (2024)Input-Relational Verification of Deep Neural NetworksProceedings of the ACM on Programming Languages10.1145/36563778:PLDI(1-27)Online publication date: 20-Jun-2024
  • (2024)Precise Compositional Buffer Overflow Detection via Heap DisjointnessProceedings of the 33rd ACM SIGSOFT International Symposium on Software Testing and Analysis10.1145/3650212.3652110(63-75)Online publication date: 11-Sep-2024
  • (2024)Abstraction and Refinement: Towards Scalable and Exact Verification of Neural NetworksACM Transactions on Software Engineering and Methodology10.1145/364438733:5(1-35)Online publication date: 3-Jun-2024
  • (2024)Calculational Design of [In]Correctness Transformational Program Logics by Abstract InterpretationProceedings of the ACM on Programming Languages10.1145/36328498:POPL(175-208)Online publication date: 5-Jan-2024
  • Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media