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We present a case study illustrating how to exploit the expressive power of higher-order logic to complete a proof whose main lemma is already proved in a first-order theorem prover. Our proof exploits a link between the HOL4 and ACL2 proof systems to show correctness of a cone of influence...
It is important that intelligent agents are able to pursue multiple goals in parallel, in a rational manner. In this work we have described the careful empirical evaluation of the value of data structures and algorithms developed for reasoning about both positive and negative goal interactions....
Rippling is a proof search guidance technique with particular application to proof by mathematical induction. It is based on a concept of annotating the differences between two terms. In its original formulation this annotation was only appropriate to first-order formulae. We use a notion of...
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