Skip to main content

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 217))

  • 750 Accesses

Abstract

This paper proposes a revision algorithm based on decomposition. A set of decomposing rules are presented to analyze the satisfiability of propositions. It is proved that the satisfiability of a given set is equivalent to whether there exists a consistent leaf on its decomposition tree. Based on these rules, a deductive decomposing function \( Div \) is given, and it can calculate all consistent leaves of a decomposition tree. A revision algorithm based on the decomposing function is proposed, which can calculate maximal contractions for given sets. The algorithm has a complexity of \( O(2^{n} m), \) and the decomposition-based tactic improves the efficiency of the algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Alchourron C, Gardenfors P, Makinson D (1985) On the logic of theory change: partial meet contraction and revision functions. J Symb Log 50(2):510–530

    Article  MathSciNet  MATH  Google Scholar 

  2. Katsuno H, Mendelzon AO (1989) A unified view of propositional knowledge base updates, vol 3(8). In: Proceedings of the 11th international joint conference on artificial intelligence, Morgan Kaufmann Publishers, Burlington, pp 1413–1419

    Google Scholar 

  3. Dalal M (1988) Investigations into a theory of knowledge base revision: preliminary report, vol 2(2). In: Proceedings of the seventh national conference on artificial intelligence, AAAI Press, Cambridge, pp 475–479

    Google Scholar 

  4. Nebel B (1991) Belief revision and default reasoning: syntax -based approaches, vol 8(4). In: Proceedings of the second international conference on principles of knowledge representation and reasoning, Cambridge, pp 417–428

    Google Scholar 

  5. Li W (1994) A logical framework for evolution of specifications, vol 7(3). In: Proceedings of the 5th European symposium on programming, Springer, Edinburgh, pp 394–408

    Google Scholar 

  6. Luo J, Li W (2011) An algorithm to computer maximal contractions for Horn clauses. Sci China Ser F: Inf Sci 52(2):244–257

    MathSciNet  Google Scholar 

  7. Jiang D, Lou Y, Ji Y (2010) A revision approach based on assignment equivalence classes, vol 7(3). In: Proceedings of the second international workshop on intelligent systems and applications, Wuhan, pp 1199–1202

    Google Scholar 

Download references

Acknowledgments

Supported by the SKLSDE Project (Grant No. SKLDE-2011ZX-22)

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong Chen Jiang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag London

About this paper

Cite this paper

Jiang, D.C., Lou, Y.H. (2013). A Revision Approach Based on Decomposition. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 217. Springer, London. https://doi.org/10.1007/978-1-4471-4850-0_44

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-4850-0_44

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4849-4

  • Online ISBN: 978-1-4471-4850-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics