Testprover

Testprover is a software tool designed to assist in the testing and validation of formal proof systems. It provides automated generation of test cases, execution of proof searches, and verification of proof steps against a reference checker. By exposing edge cases and rare proof patterns, testprover helps developers detect regressions and incorrect assumptions in theorem provers and proof assistants.

The tool is intended for researchers and practitioners working in formal verification, interactive theorem proving, and SMT solving. It supports multiple logic formalisms, including first-order and higher-order systems, and can integrate with existing theorem provers to produce test suites and counterexamples. Testprover is designed to be workflow-agnostic, capable of operating in local development environments or as part of continuous integration pipelines.

An architectural emphasis is placed on modularity. A core proof engine handles proof objects and subscribes to a test-suite generator that creates randomized or property-based tests. A separate proof checker validates results, while a reporting component summarizes failures and suggested fixes. The system is designed to be extensible through plug-ins and scripting interfaces, enabling users to tailor test generation to their specific domains.

Typical use cases include validating new tactics or inference rules, regression testing of proof-search strategies, and benchmarking solver performance under diverse workloads. It is commonly used alongside existing proof assistants and verification tools to improve reliability and reproducibility of formal developments.

Testprover is developed by an international community of researchers and practitioners and is distributed under an open-source license. Documentation and example test suites are maintained to help new users incorporate testing into their development processes.

See also topics include theorem proving, formal verification, and proof tooling.