ACL2 is the latest inception of the Boyer-Moore theorem prover, the 2005 recipient of the ACM Software System Award. In the hands of an expert, it feels like a finely tuned race ...
Peter C. Dillinger, Panagiotis Manolios, Daron Vro...
An important aim of diagrammatic reasoning is to make it easier for people to create and understand logical arguments. We have worked on spider diagrams, which visually express log...
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...
We present a bimodal logic suitable for formalizing reasoning about points and sets, and also states of the world and views about them. The most natural interpretation of the logi...
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....