Enables formal logical reasoning, mathematical problem-solving, and proof construction across 11 logic systems including propositional, predicate, modal, fuzzy, and probabilistic logic. Integrates external solvers (Z3, ProbLog, Clingo) for advanced reasoning, with support for proof storage, argument scoring, and cross-system translation.
Provides tools for semantic decomposition, proof search, knowledge graph operations, and neuro-symbolic reasoning that bridges neural LLMs with symbolic AI through RDF triples, lambda calculus, and compositional intelligence principles.
Provides deterministic logic evaluation tools including boolean expressions, truth tables, SAT solving, JSON logic rules, decision tables, and state machine analysis.
Provides symbolic reasoning capabilities by converting natural language logical problems into Answer Set Programming (ASP) format and solving them using the Clingo solver. Enables users to perform formal logical reasoning, verify logical arguments, and get step-by-step explanations for complex logical problems.
Enables LLMs to prove theorems in Lean and formalize mathematical problems using the Aristotle API, supporting both formal Lean code and natural language problem submissions.
