Abstract
Lambda logic is the union of first order logic and lambda calculus. We prove basic metatheorems for both total and partial versions of lambda logic. We use lambda logic to state and prove a soundness theorem allowing the use of second order unification in resolution, demodulation, and paramodulation in a first-order context.
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Beeson, M. (2004). Lambda Logic. In: Basin, D., Rusinowitch, M. (eds) Automated Reasoning. IJCAR 2004. Lecture Notes in Computer Science(), vol 3097. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25984-8_34
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DOI: https://doi.org/10.1007/978-3-540-25984-8_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22345-0
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