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Paper detail

The model checking problem for intuitionistic propositional logic with one variable is AC1-complete

We show that the model checking problem for intuitionistic propositional logic with one variable is complete for logspace-uniform AC1. As basic tool we use the connection between intuitionistic logic and Heyting algebra, and investigate its complexity theoretical aspects. For superintuitionistic logics with one variable, we obtain NC1-completeness for the model checking problem.

preprint2011arXivOpen access
Martin MundhenkFelix Weiss
Logic in Computer ScienceComputational Complexity
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Martin MundhenkFelix Weiss

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