Abstract. Hereditarily finite (HF) set theory provides a standard universe of sets, but with no infinite sets. Its utility is demonstrated through a formalisation of the theory o...
KeYmaera X is a theorem prover for differential dynamic logic (dL), a logic for specifying and verifying properties of hybrid systems. Reasoning about complicated hybrid systems mo...
Nathan Fulton, Stefan Mitsch, Jan-David Quesel, Ma...
Abstract. We describe an executable specification and a total correctness proof of a King and Rook vs King (KRK) chess endgame strategy within the proof assistant Isabelle/HOL. Th...
Lean is a new open source theorem prover being developed at Microsoft Research and Carnegie Mellon University, with a small trusted kernel based on dependent type theory. It aims t...
Our computational metaphysics group describes its use of automated reasoning tools to study Leibniz’s theory of concepts. We start with a reconstruction of Leibniz’s theory wi...