Deciding bisimilarity is P -complete-Reference-Cited by-同舟云学术

Deciding bisimilarity is P -complete

Published:1992-11 Issue:Suppl 1 Volume:4 Page:638-648
ISSN:0934-5043
Container-title:Formal Aspects of Computing
language:en
Short-container-title:Form. Asp. Comput.

Author:

Balcázar José¹,Gabarró Joaquim¹,Sántha Miklós²

Affiliation:

1. Dep. de Llenguatges i Sistemes Informátics, Universitat Politécnica de Catalunya, Pau Gargallo 5, 08028, Barcelona, Spain

2. CNRS, URA 410, Université Paris-Sud, LRI, Orsay, France

Abstract

Abstract In finite labelled transition systems the problems of deciding strong bisimilarity, observation equivalence and observation congruence are P -complete under many—one NC -reducibility. As a consequence, algorithms for automated analysis of finite state systems based on bisimulation seem to be inherently sequential in the following sense: the design of an NC algorithm to solve any of these problems will require an algorithmic breakthrough, which is exceedingly hard to achieve.

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/BF03180566.pdf

Reference20 articles.

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2. P-uniform circuit complexity

3. [ABG91] Álvarez c. Balcázar J.L. Gabarró J. and Sántha M.: Parallel Complexity in the Design and Analysis of Concurrent Systems. In: Paral1el Architectures and Languages Europe PARLE’91 Lecture Notes in Computer Science 505 Springer-Verlag pp. 288–303 1991.

4. [BDG88] Balcázar J.L. Díaz J. and Gabarró J.: Structural Complexity I . Springer-Verlag 1988.

5. [BDG90] Balcázar J.L. Díaz J. and Gabarró J.: Structural Complexity II . Springer-Verlag 1990.

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