An Approach to General Proof Theory and a Conjecture of a Kind of Completeness of Intuitionistic Logic Revisited

  • Dag PrawitzEmail author
Part of the Trends in Logic book series (TREN, volume 39)


Thirty years ago I formulated a conjecture about a kind of completeness of intuitionistic logic. The framework in which the conjecture was formulated had the form of a semantic approach to a general proof theory (presented at the 4th World Congress of Logic, Methodology and Philosophy of Science at Bucharest 1971 [6]). In the present chapter, I shall reconsider this 30-year old conjecture, which still remains unsettled, but which I continue to think of as a plausible and important supposition. Reconsidering the conjecture, I shall also reconsider and revise the semantic approach in which the conjecture was formulated.


Inference Rule Predicate Logic Intuitionistic Logic Natural Deduction Logical Constant 
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Work on this chapter was done within the project Interpretation and Meaning, funded by Bank of Sweden Tercentenary Foundation.


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© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.StockholmSweden

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