Which of the following is not the characteristics of an effective decision procedure ?
Valid
A decision procedure is a method that settles, for any formula of a system, whether it has a certain property (for example, whether it is a tautology or whether an argument form is valid). The truth-table method is the standard example in propositional logic.
An effective decision procedure must be mechanical (applied by rules alone, without ingenuity or insight), must terminate in a finite number of steps, and must be reliable (it always yields the right yes-or-no verdict).
Validity, by contrast, is a property of arguments or argument forms, which the decision procedure tests for; it is not a characteristic of the procedure itself. A procedure is effective or not, while arguments are valid or invalid.
Hence, the answer is Valid.
Match List I and List II and select the correct answer from the codes given below :
| List I | List II |
|---|---|
| (a) ~ (p ∨ ~ p) | (1) Identity |
| (b) ~ (p • ~ p) | (2) Contingency |
| (c) ~ (p ⊃ q) | (3) Tautology |
| (d) p ⊃ p | (4) Contradiction |
Codes :
(a) (b) (c) (d)
Correct formulation of the Rule U.I. (Universal Instantiation) is ........... .
Law of contradiction states that :
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent
Correct symbolization of the following proposition is — “All successful politicians and orators are hard-working”.
“Sudhir had not locked the gates yesterday. Either the watchman or Sudhir locks the gates. Therefore, the watchman must have locked the gates yesterday”. This argument is ..................... .
If the statement ‘p’ is true and the statement ‘q’ is false, the truth value of the statements ‘p ≡ ~ q’ and ‘~ q ⊃ ~ p’ are :
In the ranking of a competitive examination Vishal was above Vijay but below Shyam. Mohan was above Shyam but below Rohan. Vijay was between Vishal and Ashok. Who is third from the top ?
Ragini facing East walks 10 meter, then she turns to her left and walks 12 meter. Then she turns to her right in $45^o$ and walks 15 meter. Then, how much distance she has walked from the starting point and which direction is she facing now ?
In the Wason selection task for propositional reasoning, ‘participants develop a general idea of the rule, then construct examples that follow the rule’ is referred to as :
Match List I and List II and select the correct answer from the codes given below :
| List I | List II |
|---|---|
| (a) ~ (p ∨ ~ p) | (1) Identity |
| (b) ~ (p • ~ p) | (2) Contingency |
| (c) ~ (p ⊃ q) | (3) Tautology |
| (d) p ⊃ p | (4) Contradiction |
Codes :
(a) (b) (c) (d)
Correct formulation of the Rule U.I. (Universal Instantiation) is ........... .
Law of contradiction states that :
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent
Correct symbolization of the following proposition is — “All successful politicians and orators are hard-working”.