skill-model-checker

You can develop and test semantic theories by defining logical operators and frame constraints, then running tests with the Z3 SMT solver to verify theorems and generate countermodels for invalid inferences.

Yes, generating countermodels for invalid inferences is supported. You can define modal logic operators, test their properties against known examples, and automatically produce countermodels to validate theory behavior.

The best way to define new logical operators for formal verification is to specify them within a modular semantic theory framework, adjusting frame constraints and running integration tests to validate their behavior.

The Skill operates using the ModelChecker framework and Z3 SMT solver to facilitate theory development. It is invoked through the /mc command to start defining operators and running model-checker specific tasks.

Formal verification with an SMT solver processes frame constraints by translating your modular semantic theory into logical expressions, allowing you to test properties and analyze theorem results or countermodels.

Modular semantic theories streamline logic programming research by allowing you to independently define operators and constraints, making it easier to test specific properties and isolate invalid inferences during development.