Use this for propositional or predicate logic homework, practice, or proof preparation. Work through a theorem with natural deduction, test a proof you paste for invalid inferences, or compare methods such as contradiction and conditional proof. You leave with a step-by-step derivation, an explanation of the rules used, or a counterexample showing why an argument fails.
Proofs
Build and check formal logic proofs using deduction rules and explicit steps.
Use Proofs
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What it writes
- Step-by-step natural deduction proof
- Proof error and rule check
- Counterexample to an invalid argument
How to use it
In your first message, include the premises, target conclusion, and required proof system—such as Fitch-style natural deduction. If you have a partial proof, paste every line with its rule and assumption scope.
What you bring
- Premises and conclusion in symbolic form
- Proof system or inference rules required
- Your attempted derivation, if checking work
- Basic familiarity with logic symbols
A good fit for
- Stuck on a natural deduction proof with several nested assumptions
- Checking whether a predicate logic argument follows from its premises
- Practicing proof by contradiction before a logic exam
Ways to start
A few requests this Agent can handle.
Prove (P → Q) and (Q → R) entail (P → R) using natural deduction, and label each inference rule.
Check my proof that ∀x(P(x) → Q(x)), P(a), therefore Q(a). I used universal elimination and modus ponens; show any invalid step.
Show by counterexample whether (P → Q) entails (Q → P), then explain why the inference fails.
Good to know
This workspace provides text assistance.
- Formal verification of safety-critical software
- Cannot run Lean, Coq, or proof assistant code
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Can I use the response in my work?
Use it as a draft to review and adapt. Verify calculations, facts, rights, and suitability before relying on it. Do not provide information you do not have permission to share.
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