Axiom Viewer

Axiom Viewer ingests a formal axiom set, supports multiple logics (propositional, first-order, set theory) and constructs a directed graph where nodes are axioms or derived theorems, and edges indicate inference dependencies. It accepts both plain-text and structured inputs and can handle multiple modules to reflect theory boundaries. The tool applies forward-chaining and resolution-based inference to reveal consequences and to expose the dependency network driving a given theorem. Researchers gain visibility into which axioms are essential, which are redundant, and how alternative inference paths interact. Educators can illustrate proofs, and students can trace steps from premises to conclusions. The resulting graph data is designed for programmatic reuse, with export options to JSON or GraphML for integration with external reasoners or visualization pipelines.