I want to write a Post production system if we have the set of symbols {A,B} where all strings are wffs, and the set of theorems is [itex]\{A^nB^{3n} : n\geq 1\}[/itex]. Would it the following system be correct:(adsbygoogle = window.adsbygoogle || []).push({});

- Alphabet is {A,B}

- The only Axiom is AB
^{3}.

- Rules of inference:

- From x infer xAB
^{3}

For example, A^{2}B^{6}is a theorem. To see this, we can provide the following derivation:

1. AB^{3}(Axiom)

2. AB^{3}AB^{3}= A^{2}B^{6}(From 1 by rule 2)

So, is my system correct? Are there better ways to make the rules as simple as possible?

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# A Post production system

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