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.
Answer:
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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