Abstract: In this paper we describe a complex information processing system, which we call the logic theory machine, that is capable of discovering proofs for theorems in symbolic logic. This system, ...

Many common modal logics have justification counterparts. The connection between a modal logic and its justification counterpart is through a Realization Theorem, which says that modal operators can ...

It is a fundamental operation in automated reasoning and logic programming, enabling the matching of predicates with variables. Resolution: Resolution is a rule of inference used for automated theorem ...

The bright minds of Ne’Kiya Jackson and Calcea Johnson have accomplished a new feat! As AFROTECH previously reported, the duo ...

These properties, while powerful, make direct copying of quantum information impossible due to the no-cloning theorem.

At a singularity, the laws of physics as we know them suffer a complete breakdown. So such objects really shouldn’t exist.

But formal AI assistants could empower larger groups of human collaborators to tackle the biggest problems by breaking them ...

In this lecture we prove one of the central theorems in logic, namely that cut is admissible in the cut-free sequent calculus. This completes the connection between truth (as defined by natural ...

Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive ...

It is the most widely known example of duality in logic. The duality consists in these metalogical theorems:In classical propositional logic, the connectives for conjunction and disjunction can be ...