Non-Constructive Procedural Theory of Propositional Problems and the Equivalence of Solutions

In Igor Sedlár & Martin Blicha (eds.), The Logica Yearbook 2018. London: College Publications. pp. 197-210 (2019)
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Abstract

We approach the topic of solution equivalence of propositional problems from the perspective of non-constructive procedural theory of problems based on Transparent Intensional Logic (TIL). The answer we put forward is that two solutions are equivalent if and only if they have equivalent solution concepts. Solution concepts can be understood as a generalization of the notion of proof objects from the Curry-Howard isomorphism.

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Ivo Pezlar
Czech Academy of Sciences

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References found in this work

Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Remarks on the Foundations of Mathematics.Ludwig Wittgenstein - 1956 - Oxford: Macmillan. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
Intensional isomorphism and identity of belief.Alonzo Church - 1954 - Philosophical Studies 5 (5):65 - 73.

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