Proof theory in the abstract

  title={Proof theory in the abstract},
  author={Martin Hyland},
  journal={Ann. Pure Appl. Logic},
We are left in no doubt that proof theory as currently practised is essentially syntactic in nature. Indeed proof theory has been the poor relation of logic, at least partly for this very reason. So the reference to semantic motivation is tantalising and should give one pause. Reflecting on the notion of semantic motivation, one might crudely distinguish between philosophical and mathematical motivation. In the first case one tries to convince with a telling conceptual story; in the second one… CONTINUE READING

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Categorical Semantics of Continuation Passing Style

  • H. Thielecke
  • PhD thesis, University of Edinburgh
  • 1997
Highly Influential
8 Excerpts

Linear logic

  • R.A.G. Seely
  • ∗-autonomous categories and cofree coalgebras. In…
  • 1989
Highly Influential
7 Excerpts

Mathematical Logic

  • J. R. Shoenfield
  • Addison-Wesley
  • 1967
Highly Influential
5 Excerpts

Categorical Logic and Type Theory

  • B. Jacobs
  • Elsevier
  • 1999
Highly Influential
4 Excerpts


  • S. Feferman, J. W. Dawson, W. Goldfarb, C. Parsons, R. M. Solovay
  • Kurt Gödel: Collected Works, volume III. Oxford…
  • 1995
Highly Influential
4 Excerpts

A Dialectica Model of the Lambek Calculus

  • V.C.V. de Paiva
  • In Proceedings of the 8th Amsterdam Colloquium,
  • 1991
Highly Influential
5 Excerpts

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