Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
We verify within the Coq proof assistant that ML typing is sound with respect to the dynamic semantics. We prove this property in the framework of a big step semantics and also in ...
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Abstract. We describe the key features of the proof description language of Declare, an experimental theorem prover for higher order logic. We take a somewhat radical approach to p...