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The One-Variable Fragment of T→

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Abstract

We show that there are infinitely many pairwise non-equivalent formulae in one propositional variable p in the pure implication fragment of the logic T of “ticket entailment” proposed by Anderson and Belnap. This answers a question posed by R. K. Meyer.

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References

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Acknowledgments

Work towards this result was carried out while the second author was a Summer Scholar at the Australian National University. We thank the College of Engineering and Computer Science for support through the Summer Scholarships scheme.

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Authors and Affiliations

  1. Research School of Computer Science, The Australian National University, Building (115) Canberra, ACT 0200, Australia

    John Slaney & Edward Walker

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  1. John Slaney
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  2. Edward Walker
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Correspondence to John Slaney.

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Slaney, J., Walker, E. The One-Variable Fragment of T→ . J Philos Logic 43, 867–878 (2014). https://doi.org/10.1007/s10992-013-9293-3

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  • DOI: https://doi.org/10.1007/s10992-013-9293-3

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