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On simple, weak and strong models of propositional calculi

Published online by Cambridge University Press:  24 October 2008

Ronald Harrop
Ronald Harrop
Affiliation:
Department of Mathematics, Simon Fraser University, Burnaby 2, B.C., Canada
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Extract

In this paper we will be concerned primarily with weak, strong and simple models of a propositional calculus, simple models being structures of a certain type in which all provable formulae of the calculus are valid. It is shown that the finite model property defined in terms of simple models holds for all calculi. This leads to a new proof of the fact that there is no general effective method for testing, given a finite structure and a calculus, whether or not the structure is a simple model of the calculus.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 1 - 9
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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