Description

1 Aim of assignment and general description
The aim of the assignment is to analyse English sentences and solve logical puzzles. The assignment will make you work with textual data and reinforce the fundamental programming skills and use of basic data structures that you are expected to have acquired.
Raymond Smullyan has designed many puzzles involving Knights and Knaves. Knights always tell the truth, whereas Knaves always lie. We refer to Knights and Knaves as Sirs. A puzzle, which is a set of English sentences, involves a finite number of Sirs. Solving the puzzle means:
• determining the names of all Sirs involved in the puzzle;
• determining solutions to the puzzle, where a solution qualifies each Sir as either a Knight or a Knave.
Some puzzles have no solution, others have a unique solution, and others have at least 2 solutions. The following is an example of a puzzle with a unique solution.
One evening as you are out for a stroll, you walk by a doorway labeled no normals allowed. Some people are talking inside. Curious, you listen, and you hear Sir Paul who says: “all of us are Knaves.” “Exactly one of us is a Knight,” replies
Sir Jenny. As for Sir John, who is also inside, he just keeps quiet. Who is a Knight, and who is a Knave?
The Sirs involved in this puzzle are Sir Jenny, Sir John, and Sir Paul. The unique solution is given by Sir Jenny being a Knight, Sir John being a Knave, and Sir Paul being a Knave.
2 Detailed description
2.1 Syntax of puzzles
A sentence starts with a capital letter and ends in a full stop, an exclamation mark, or a question mark, possibly followed by closing double quotes. Sir, Sirs, Sir names, Knight and Knave always start with a capital letter, and no other word inside a sentence is capitalised. A sentence in a puzzle contains at most one part enclosed between double quotes. When a sentence contains one part enclosed between double quotes, the part outside the double quotes contains a single occurrence of the form SirSir_Name, and what occurs between the double quotes is something said by SirSir_Name. A sentence that contains no part enclosed between double quotes might refer to a number of Sirs, always in the form SirSir_Name, or Sirs Sir_Name_1 and Sir_Name_2, or Sirs Sir_Name_1, Sir_Name_2, …and Sir_Name_n, where n≥ 3, and Sir_Name_1, …, Sir_Name_n are pairwise distinct.
What is between double quotes is a sentence in one of the following forms, ending in either a comma, a full stop, an exclamation mark, or a question mark:
• At/at least one ofConjunction_of_Sirs/us is a Knight/Knave
• At/at most one ofConjunction_of_Sirs/us is a Knight/Knave
• Exactly/exactly one ofConjunction_of_Sirs/us is a Knight/Knave
• All/all of us are Knights/Knaves
• I am a Knight/Knave
• SirSir_Nameis a Knight/Knave
• Disjunction_of_Sirsis a Knight/Knave
• Conjunction_of_Sirsare Knights/Knaves where:
• Disjunction_of_Sirs is in one of the following forms:
– Sir_1orSir_2
– Sir_1,Sir_2, … orSir_n (n≥ 3)
• Conjunction_of_Sirs is in one of the following forms:
– Sir_1andSir_2
– Sir_1, Sir_2, … andSir_n (n≥ 3)
• Sir_1, …, Sir_n are pairwise distinct expressions of the form SirSir_Name or I.
2.2 Input and output of programs
Your program will prompt the user for a text file, assumed to be stored in the working directory, that stores the sentences that make up a puzzle. No assumption should be made on the number of English sentences provided as input, nor on the length of a sentence, nor on the length of a Sir name, nor on the number of Sirs involved in the puzzle.
Your program should:
• output the Sirs involved in the puzzle in lexicographic order;
• output whether or not there is a solution, and in case there is one, whether the solution is unique;
• outputs the solution in case a unique solution exists, with all Sirs being qualified as either Knight or Knave in alphabetical order.
2.3 Sample outputs
Here are a few tests together with the expected outputs. The outputs of your program should be exactly in accordance with the following outputs. Outputs of your program will be matched against expected outputs line for line.
$ cat test1.txt
I have just seen Sirs Sanjay and Eleonore!
“I am a Knave,” whispered Sir Eleonore.
Who is a Knight and who is a Knave?
$ python3 solve.py
Which text file do you want to use for the puzzle? test1.txt
The Sirs are: Eleonore Sanjay There is no solution.
$ cat test2.txt
I have just met Sirs Frank, Paul and Nina. Sir Nina said: “I am a Knight,” but I am not sure if that is true. What do you think?
$ python3 solve.py
Which text file do you want to use for the puzzle? test2.txt
The Sirs are: Frank Nina Paul There are 8 solutions.
$ cat test3.txt
Yesterday, I visited Sirs Andrew and Nancy. I asked Sir Andrew who he was, and he answered impatiently: “Sir Nancy and I are Knaves!” Then I met Sir Bill who introduced me to his wife and told me: “at least one of Sir Hilary and I is a Knave.” Should I trust them?
$ python3 solve.py
Which text file do you want to use for the puzzle? test3.txt
The Sirs are: Andrew Bill Hilary Nancy There is a unique solution:
Sir Andrew is a Knave.
Sir Bill is a Knight.
Sir Hilary is a Knave.
Sir Nancy is a Knight.
3 Assessment and submission
3.1 Assessment
Up to eight marks will reward correctness of solutions by automatically testing your program on some tests, all different to the provided examples. Read carefully the part on program output to maximise your chances of not failing some tests for stupid reasons.
Up to one mark will reward good comments, good choice of names for identifiers and functions, readability of code, simplicity of statements, compactness of functions. This will be determined manually.
4 Submission and assessment
4.1 Submission
4.2 Assessment
Up to 8 marks will reward correctness of solutions by automatically testing your program on some tests, all different to the provided examples. Read carefully the part on program output to maximise your chances of not failing some tests for stupid reasons. For each test, the automarking script will let your program run for 30 seconds. Still you should not take advantage of this and strive for a solution that gives an immediate output for any input.
Up to 2 marks will reward good comments, good choice of names for identifiers and functions, readability of code, simplicity of statements, compactness of functions. This will be determined manually.
The outputs of your programs should be exactly as indicated.
You are permitted, indeed encouraged, to discuss ways to solve the assignment with other people. Such discussions must be in terms of algorithms, not code. But you must implement the solution on your own. Submissions are routinely scanned for similarities that occur when students copy and modify other people’s work, or work very closely together on a single implementation. Severe penalties apply to a submission that is not the original work of the person submitting it.