Abstract
We propose a simple theory of expressions which is intended to be used as a foundational syntactic structure for the Natural Framework (NF). We define expression formally and give a simple proof of the decidability of α-equivalence. We use this new theory of expressions to define judgments and derivations formally, and we give concrete examples of derivation games to show a flavor of NF.
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Sato, M. (2004). A Simple Theory of Expressions, Judgments and Derivations. In: Maher, M.J. (eds) Advances in Computer Science - ASIAN 2004. Higher-Level Decision Making. ASIAN 2004. Lecture Notes in Computer Science, vol 3321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30502-6_32
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DOI: https://doi.org/10.1007/978-3-540-30502-6_32
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