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Term Orders for Optimistic Lambda-Superposition
Alexander Bentkamp, Jasmin Blanchette, Matthias Hetzenberger
We introduce KBO and LPO, two variants of the Knuth-Bendix order (KBO) and the lexicographic path order (LPO) designed for use with the -superposition calculus. We establi…
Optimistic Higher-Order Superposition
Alexander Bentkamp, Jasmin Blanchette, Matthias Hetzenberger +1
The -superposition calculus is a successful approach to proving higher-order formulas. However, some parts of the calculus are extremely explosive, notably due to the higher-ord…
Superposition with Lambdas
Alexander Bentkamp, Jasmin Blanchette, Sophie Tourret +2
We designed a superposition calculus for a clausal fragment of extensional polymorphic higher-order logic that includes anonymous functions but excludes Booleans. The inference rul…