Inference algorithm is complete only if _____________
It can derive any sentence that is an entailed version & It is truth preserving
It can derive any sentence
It can derive any sentence that is an entailed version
It is truth preserving
Correct Answer: D. It can derive any sentence that is an entailed version & It is truth preserving

Completing Inference: Understanding the Conditions

Inference algorithm is complete only if _____________

Completeness in an inference algorithm requires specific conditions to be met. Let’s explore the options to understand what makes an inference algorithm complete.

D. It can derive any sentence that is an entailed version & It is truth preserving

Understanding Completeness in Inference:

Completeness in inference refers to the ability of an algorithm to derive specific types of sentences. The conditions for completeness are outlined as follows:

Options:

A. It can derive any sentence:

This is not sufficient for completeness. The algorithm must have a specific focus on entailed versions.

B. It can derive any sentence that is an entailed version:

This is closer to completeness, but it requires an additional condition.

C. It is truth preserving:

Truth preservation is crucial but alone does not ensure completeness.

D. It can derive any sentence that is an entailed version & It is truth preserving:

This is the correct answer. Completeness requires the ability to derive any sentence that is an entailed version while ensuring truth preservation.

Conclusion:

Understanding the conditions for completeness in an inference algorithm is essential for its effectiveness. The correct answer encompasses both the derivation of entailed versions and truth preservation.

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