Tutorial Contents Tutorial Three: Propositional Calculus: Tableaux - The Sentence Tableaux Rules - Testing Arguments for Validity - Sequents - Syntactic Sequents - Semantic Sequents - Soundness and Completeness - Correctness of Sequents and Validity of Arguments
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Exercise 3.2

 

1.

You formalise an argument and do a tableau for the corresponding syntactic sequent.
  (i) If the tableau closes, what does that show about the original argument?
  (ii) If the tableau finishes without closing, what does that show about the original argument?

2.

You formalise an argument and do a truth-table for the corresponding semantic sequent.
  (i) If the semantic sequent is correct, what does that show about the original argument?
  (ii)

If the semantic sequent is incorrect, what does that show about the original argument?

 

 
Answers

 

 

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