Abstract
We present a framework for intensional reasoning in typed λ-calculus. In this family of calculi, called Modal Pure Type Systems (MPTSs), a “propositions-as-types”-interpretation can be given for normal modal logics. MPTSs are an extension of the Pure Type Systems (PTSs) of Barendregt (1992). We show that they retain the desirable meta-theoretical properties of PTSs, and briefly discuss applications in the area of knowledge representation.
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Borghuis, T. Modal Pure Type Systems. Journal of Logic, Language and Information 7, 265–296 (1998). https://doi.org/10.1023/A:1008254612284
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DOI: https://doi.org/10.1023/A:1008254612284