Prove Consistency.
Eliminate Contradictions.
LLMs are excellent creative writers but terrible logicians. QWED uses the Z3 Theorem Prover to formally prove whether an argument, policy, or schedule is logically satisfiable (SAT).
2. "Support is closed on Sundays."
>> Clause(1) AND Clause(2) implies Sunday Support AND No Sunday Support.
Contradiction Blindness
LLMs operate on "semantic similarity", not "logical entailment." They can generate two sentences that sound related but are mutually exclusive, without ever realizing the error.
Legal Contracts
A 50-page contract generated by AI might have Clause 4 ("Termination at will") contradict Clause 22 ("Termination requires 30 days notice"). QWED catches this instantly.
Logistics & Scheduling
"Driver A must be in New York by 5 PM" and "Driver A leaves Boston at 3 PM". An LLM thinks this is fine. QWED proves it's physically impossible.
Policy Enforcement
Ensure your AI agents don't promise things your company policy explicitly forbids. We treat policies as hard logic constraints.
From Text to Theorem
How we turn natural language into mathematical proofs.
Extract premises and assertions from user text.
Convert assertions into SMT-Lib format (Symbolic Logic).
Run Z3 Theorem Prover to check Satisfiability (SAT).
Return proof or counter-example if UNSAT.
Logic Capabilities
The Liability Shield
Legal Tech and Enterprise Ops cannot afford "mostly correct" logic. A single contradiction in a generated contract renders it void. QWED provides the formal proof needed for due diligence.
Audit Trail
Every logical verification comes with a formal proof trace. If a regulator asks "Why did the AI approve this?", you can show the mathematical proof that the decision satisfied all policy constraints.