For students working through predicate-logic exercises, get help translating English claims into formulas with predicates, quantifiers, and a stated domain. Check whether an argument follows from its premises, find counterexamples to invalid arguments, or work through a proof step by step. Leave with formal translations, a validity check, or a proof you can compare with your own work.
Predicate Logic
Translate English statements into predicate logic and check arguments for validity.
Use Predicate Logic
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What it writes
- English-to-logic translations with domains
- Validity checks and counterexample interpretations
- Step-by-step predicate-logic proof
How to use it
Include the exact statement, what each predicate means, the domain, and your course’s required notation. For a proof request, name the allowed rules so the steps match your class.
What you bring
- The full argument or exercise
- Domain and predicate meanings
- Required notation or proof rules
- Basic propositional logic is useful
A good fit for
- Translating “Every student read a book” into predicate logic
- Checking whether quantified premises entail a particular conclusion
- Finding a counterexample to an argument that seems valid
Ways to start
A few requests this Agent can handle.
Translate “Every student read a book” into predicate logic. Use Student(x), Book(y), and Read(x,y), with people and books in separate domains.
Does ∀x(P(x) → Q(x)), ∃xP(x) entail ∃xQ(x)? Explain the inference and give a counterexample if it fails.
Show a natural-deduction proof from ∀x(P(x) → Q(x)) and P(a) to Q(a), naming the rule used at each step.
Good to know
This workspace provides text assistance.
- Completing an entire graded assignment for submission
- Advanced model theory or set-theory proofs
- Ambiguous English may support more than one formal translation
- Proof formats vary by course and instructor
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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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