Skip to main content

Model-theoretic specifications and back-and-forth equivalences

  • Conference paper
  • First Online:
Recent Trends in Data Type Specification (ADT 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 534))

Included in the following conference series:

  • 125 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abrusci V.M., Mascari G.F.: A Logic of Recursion. Information and Computation 81 (1989) 168–226

    Google Scholar 

  • Ajtai M., Fagin R/. (1990), Reachability is Harder for Directed than for Undirected Finite Graphs. The Journal of Symbolic Logic 55 (1990) 113–150.

    Google Scholar 

  • Barwise K.J., Cooper R.: Generalized quantifiers and Natural Language. Linguistics and Philosophy 4 (1981) 159–219.

    Google Scholar 

  • Barwise J., Feferman S.: Model Theoretic Logics. Springer, Berlin (1985).

    Google Scholar 

  • Bergstra J.A., Terlouw J.: Standard Model Semantics for DSL A Data Type Specification Language. Acta Informatica 19 (1983) 97–113.

    Google Scholar 

  • Berman L.: The Complexity of Logical Theories. Theoretical Computer Science 11 (1980) 71–77.

    Google Scholar 

  • Bertoni, A., Mauri G., Miglioli P.: Some uses of Model Theory to specify abstracts data types and to capture their recursiveness. Fundamenta Informaticae, VI.2 (1983).

    Google Scholar 

  • Chandra A., Harel D.: Structures and Complexity of Relational Queris. Journal of Computer and Systems Science 25 (1982) 99–128.

    Google Scholar 

  • Courcelle B.: The Monadic Second—Order Logic of Graphs. I. Recognizable Sets of Finite Graphs. Information and Computation 85 (1990) 12–75.

    Google Scholar 

  • Cleaveland R., Hennessy M.: Testing Equivalence as a Bisimulation Equivalence. In: “Automatic Verification Methods for Finite State Systems (Sifakis J. ed.) Lecture Notes in Computer Science 407 Springer, Berlin 1989, 11–23

    Google Scholar 

  • Cleaveland R., Parrow M., Steffen B.: The Concurrency Worbench. In: “Automatic Verification Methods for Finite State Systems (Sifakis J. ed.) Lecture Notes in Computer Science 407, Springer, Berlin 1989, 24–37

    Google Scholar 

  • De Nicola R., Ferrari G.L.: Observational Logics and Concurrency Model. Technical Report TR-10/90 Università di Pisa (1990).

    Google Scholar 

  • Fenstad J.E.: Logic and Natural Language Systems. In: H.-D. Ebbinghaus et al. eds: Logic Colloquium '87, North-Holland, Amsterdam 1989, 27–39.

    Google Scholar 

  • Gerla G.: Pointless Metric Spaces. The Journal of Symbolic Logic 55 (1990) 207–219.

    Google Scholar 

  • Goguen J.A. and Burstall R.M.: Institutions: Abstract Model Theory for Computer Science. Report No. CSLI-85-30 Center for the Study of Language and Information, Stanford University (1985).

    Google Scholar 

  • Hafner T.: On the Expressive Completeness of CTL*. Technical Report. Schriften zur Informatik und angewandten Mathematik 123 (1986).

    Google Scholar 

  • Hella L.: Definability Hierarchies of Generalized Quantifiers. Annals of Pure and Applied Logic 43 (1989) 235–271.

    Google Scholar 

  • Hennessy M.C., Milner A.J.R.G.: Algebraic Laws for nondeterminism and concurrence. Journal of the Association of Computing Machinery 32 (1985) 137–161.

    Google Scholar 

  • Immerman N.: Descriptive and Computational Complexity. Proceedings of Symposia in Applied Mathematics, Vol. 38, 75–91, Americal Mathematical Society, Providence (1989) 75–91.

    Google Scholar 

  • Immerman N., Kozen D.: Definability with Bounded Number of Bound Variables, Information and Computation 83 (1989) 121–139.

    Google Scholar 

  • Kolaitis P. and Papadimitriou C.H.: Some Computational Aspects of Circumscription, Journal of the Association of Computing Machinery 37 (1990) 1–14.

    Google Scholar 

  • Ladner R.E.: Application of Model Theoretic Games to Discrete Linear Orders and Finite Automata. Information and Control 33 (1977) 281–303.

    Google Scholar 

  • Maibaum T.S.E., Veloso P.A.S., Sadler M.R.: A Theory of Abstract Data Types for Program Development: Bridging the Gap? In: Ehrig H., Floyd C., Nivat M., Thatcher J. eds.: TAPSOFT '85,, Lecture Notes in Computer Science, Springer, Berlin 1985, Vol. 2o, 214–230.

    Google Scholar 

  • Makowsky J.A.: Measuring the expressive power of dynamic logics: An application of abstract model theory. In: de Bakker W., van Leeuwen J. eds.:, Automata, Languages and Programming,, Lectures Notes in Computer Science 85, Springer, Berlin 1980, 409–421.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Ehrig K. P. Jantke F. Orejas H. Reichel

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mascari, G., Vincenzi, A. (1991). Model-theoretic specifications and back-and-forth equivalences. In: Ehrig, H., Jantke, K.P., Orejas, F., Reichel, H. (eds) Recent Trends in Data Type Specification. ADT 1990. Lecture Notes in Computer Science, vol 534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54496-8_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-54496-8_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54496-8

  • Online ISBN: 978-3-540-38416-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics