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Exchange rules

Published online by Cambridge University Press:  12 March 2014

Mario Piazza
Mario Piazza*
Affiliation:
Department of Philosophy, University of Chieti, Campus Universitario - Via Pescara - 66013 Chieti, Italy, E-mail: [email protected]
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Abstract

In this paper, we show by a proof-theoretical argument that in a logic without structural rules, that is in noncommutative linear logic with exponentials, every formula A for which exchange rules (and weakening and contraction as well) are admissible is provably equivalent to? A. This property shows that the expressive power of “noncommutative exponentials” is much more important than that of “commutative exponentials”.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 509 - 516
Copyright
Copyright © Association for Symbolic Logic 2001

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References

REFERENCES

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