On connections and higher-order logic (Q908896)
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scientific article; zbMATH DE number 4135911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On connections and higher-order logic |
scientific article; zbMATH DE number 4135911 |
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On connections and higher-order logic (English)
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1989
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The paper gives a detailed introduction to proving theorems in Church's typed lambda-calculus. The presented method was developed by D. A. Miller and uses expansion trees: an expansion tree is built from the tree-form negation normal form of the formula by adding subtrees with substitution instances to the nodes. Proofs consist of finding a contradictory tree by establishing right connections between parts of the expansion tree. Detailed examples are given.
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connection method
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proving theorems in Church's typed lambda-calculus
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expansion trees
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