Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
It is well-known that the connection refinement of clause tableaux with paramodulation is incomplete (even with weak connections). In this paper, we present a new connection tablea...
Abstract. JProver is a first-order intuitionistic theorem prover that creates sequent-style proof objects and can serve as a proof engine in interactive proof assistants with expre...
Stephan Schmitt, Lori Lorigo, Christoph Kreitz, Al...
Abstract. The Verifying Compiler checks the correctness of the program it compiles. The workhorse of such a tool is the reasoning engine, which decides validity of formulae in a su...
We show how a well-known superposition-based inference system for first-order equational logic can be used almost directly as a decision procedure for various theories including l...