Designing a TM for a Language: ai bj ck

AI Thread Summary
The discussion focuses on designing a Turing machine (TM) for the language defined by the condition {ai bj ck | i + k = j, and i,j ≥ 0, k ≥ 1}. Participants are tasked with providing a formal description of the TM and creating a state diagram to illustrate its operation. Examples of valid strings include "aabccc," "abbbbccccc," "ac," and "bc," which help clarify the language's structure. The conversation emphasizes adherence to forum rules regarding homework assistance. Overall, the thread aims to collaboratively develop a TM that accurately represents the specified language constraints.
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Design a Turing machine for each of the following languages, give formal description of the TM and draw state diagram.
{ai bj ck |i + k = j, and i,j ≥ 0, k ≥ 1}.

Some example words of the language are asfollows:
a. aabccc
b. abbbbccccc
c. ac
d. bc
 
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