A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Aiden, Emma, Jack, Daniel, and Logan. As Jackson put it, "Logan is not a knave". Aiden commented, "Daniel is not a knave". Emma asserted: "Jackson is a knave if and only if Aiden is a knave". Jack remarked, "Emma is not a knave". Daniel said, "Jack is a knight." Logan noted, "Daniel is a knight". So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
user
Assume Jackson is a knight.  No contradiction is found in their claim that Logan is not a knave.
 Assume Logan is a knight.  No contradiction is found in their claim that Daniel is a knight.
 Assume Daniel is a knight.  No contradiction is found in their claim that Jack is a knight.
 Assume Jack is a knight.  No contradiction is found in their claim that Emma is not a knave.
 Assume Emma is a knight.  No contradiction is found in their claim that Jackson is a knave if and only if Aiden is a knave.
 Assume Aiden is a knight.  No contradiction is found in their claim that Daniel is not a knave.
 Therefore, (1) Jackson is a knight
 (2) Aiden is a knight
 (3) Emma is a knight
 (4) Jack is a knight
 (5) Daniel is a knight
 (6) Logan is a knight
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 6 inhabitants: Jackson, Aiden, Emma, Jack, Daniel, and Logan. As Jackson put it, "Logan is not a knave". Aiden commented, "Daniel is not a knave". Emma asserted: "Jackson is a knave if and only if Aiden is a knave". Jack remarked, "Emma is not a knave". Daniel said, "Jack is a knight." Logan noted, "Daniel is a knight". So who is a knight and who is a knave? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags, for example <answer> (1) Zoey is a knight
(2) Oliver is a knight
(3)... </answer>.
Assistant: Let me solve this step by step.
<think> 
Assume Jackson is a knight. No contradiction is found in their claim that Logan is not a knave.
Assume Logan is a knight. No contradiction is found in their claim that Daniel is a knight.
Assume Daniel is a knight. No contradiction is found in their claim that Jack is a knight.
Assume Jack is a knight. No contradiction is found in their claim that Emma is not a knave.
Assume Emma is a knight. No contradiction is found in their claim that Jackson is a knave if and only if Aiden is a knave.
Assume Aiden is a knight. No contradiction is found in their claim that Daniel is not a knave.
Therefore, (1) Jackson is a knight
(2) Aiden is a knight
(3) Emma is a knight
(4) Jack is a knight
(5) Daniel is a knight
(6) Logan is a knight </think>
<answer> (1) Jackson is a knight
(2) Aiden is a knight
(3) Emma is a knight
(4) Jack is a knight
(5) Daniel is a knight
(6) Logan is a knight </answer>
Jackson Aiden Emma Jack Daniel Logan
(1) Jackson is a knight
(2) Aiden is a knight
(3) Emma is a knight
(4) Jack is a knight
(5) Daniel is a knight
(6) Logan is a knight
(('not', ('lying', 5)), ('not', ('lying', 4)), ('<=>', ('lying', 0), ('lying', 1)), ('not', ('lying', 2)), ('telling-truth', 3), ('telling-truth', 4))
rule