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AI · Theory

Inference in First-Order Logic

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Theory

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Inference in First-Order Logic

FOL inference: unification + lifting of propositional methods, resolution, forward/backward chaining on Horn clauses. Undecidable in the general case — say that. For many expert-system rules, chaining is enough.

Don’t claim a magic complete fast algorithm for all FOL. Honesty scores.

Output — idea / do / check for Inference in First-Order Logic. Fill those three in the viva.

Exam tip

Name two inference methods + one limit.

Example

# Inference in First-Order Logic
print("idea :", "Inference in First-Order Logic")
print("do   : one tiny example on paper")
print("check: one failure case")

Output: idea / do / check for Inference in First-Order Logic. Fill those three in the viva.

Short notes

  • DefUnification, resolution, chaining.
  • RuleGeneral FOL can be undecidable.

Questions

1

Explain Inference in First-Order Logic as if you are teaching a junior — definition, then one example.

2

What does the example print, and what does that prove?

3

What mistake do freshers make with Inference in First-Order Logic?

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