Skip to main content
Log in

Mechanical proof systems for logic II, consensus programs and their processing

  • Published:
Journal of Intelligent Information Systems Aims and scope Submit manuscript

Abstract

We continue our investigations and study automated theorem proving for reasoning about perception of reasoning agents and their consensus reaching. Using our earlier techniques and those of logic programming we develop the processing techniques for consensus programs.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Apt, K. (1990). Logic Programming. In J. van Leeuven (Ed.),Handbook of Theoretical Computer Science. Cambridge, MA: MIT Press, pp. 493–574.

    Google Scholar 

  • Fagin, R., Halpern, J.Y., and Vardi, M. (1988). Model-Theoretical Analysis of Knowledge. IBM research report RJ 6461.

  • Fitting, M. (1992). Many-Valued Modal Logics. II.Fundamenta Informaticae, 17, 55–73.

    Google Scholar 

  • Halpern, J.Y. (ed.) (1986).Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann.

  • Halpern, J.Y., and Moses, Y. (1984). Toward a Theory of Knowledge and Ignorance: Preliminary Report.Proc. AAAI Workshop Non-Monotonic Reasoning, pp. 125–143.

  • Mazer, M.S. (1988). A Knowledge Theoretic Account of Recovery in Distributed Systems in M. Vardi (Ed.),TARK'88, pp. 309–324.

  • Moses, Y. (ed.) (1992).Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann.

  • Nerode, A., and Shore, R. (1993).Logic for Applications. Springer-Verlag.

  • Orlowska, E. (1985). Mechanical Proof Methods for Post Logics.Logique Anal. (N.S.), 28, 110–111, 173–192.

    Google Scholar 

  • Orlowska, E. (1990). Logic for Reasoning about Knowledge.Z. Math. Logik Grund. Math.

  • Parikh, R. (Ed.) (1990).Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann.

  • Pawlak, Z. (1982). Rough Sets.International Journal of Computer and Information Sciences, 11, 341–356.

    Google Scholar 

  • Rasiowa, H. (1987). Algebraic Approach to Some Approximate Reasonings. Proc.ISMVL'87, IEEE Press, pp. 342–347.

  • Rasiowa, H. (1988). Logic of Approximation Reasoning.Proc. CSL'87, Lecture notes in Computer Science, vol. 329, Springer-Verlag, pp. 188–210.

  • Rasiowa, H. (1990), On Approximation Logics: A Survey, Kurt Gödel Gesellschaft, Jahrbuch, pp. 63–87.

  • Rasiowa, H. (1991). Mechanical Proof Systems for Logic: Reaching Consensus by Groups of Intelligent Agents.International Journal of Approximate Reasoning, 5, 415–432.

    Google Scholar 

  • Rasiowa, H., and Marek, W. (1989). On Reaching Consensus by Groups of Intelligent Agents.Proc. ISMIS'89, North-Holland, pp. 234–243.

  • Robinson, G.A. (1965), A Machine Oriented Logic Based on the Resolution Principle.Journal of the Association for Computing Machinery, 12, 23–41.

    Google Scholar 

  • Vardi, M.Y. (ed.) (1988).Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work partially supported by Polish Goverment grant KBN 2 2051 91 02.

Work partially supported by U.S. National Science Foundation grant IRI-9012902.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rasiowa, H., Marek, V.W. Mechanical proof systems for logic II, consensus programs and their processing. J Intell Inf Syst 2, 149–164 (1993). https://doi.org/10.1007/BF00965875

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00965875

Keywords

Navigation