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arXiv · 1501.00155

Uniform Definability in Propositional Dependence Logic

Fan Yang
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Abstract

Both propositional dependence logic and inquisitive logic are expressively complete. As a consequence, every formula with intuitionistic disjunction or intuitionistic implication can be translated equivalently into a formula in the language of propositional dependence logic without these two connectives. We show that although such a (non-compositional) translation exists, neither intuitionistic disjunction nor intuitionistic implication is uniformly definable in propositional dependence logic.

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Fan Yang. 2016-11-16. Uniform Definability in Propositional Dependence Logic. https://doi.org/10.1017/s1755020316000459

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