Completeness of arbitrary formal language

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Question

1. Explain, the soundness and completeness of an arbitrary formal language.

2. Answer each question 'True' or 'False' and give a brief justification. (Do not assume anything about the logical languages described in each question apart from what is explicitly stated. (Example: If a language is described as 'sound' do not assume that it is also complete.)

A. In a sound logical system, there could be derivations that do not correspond to any valid argument.

B. In a sound logical system, there could not be any logical truth that cannot be derived.

C. In a sound logical system, every derivation of a wff from no premises corresponds to a logical truth.

D. In a complete logical system, there could be derivations that do not correspond to a valid argument.

Reference no: EM134000552

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