SL + Deductive Logic Flashcards

1
Q

Syntax

A

Rules for constructing proper sentences (grammar)

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2
Q

Semantics

A

Rules for interpreting sentences in a language

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3
Q

Logically True

A

When it is impossible for a sentence to be false

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4
Q

Logically false

A

When it is impossible for a sentence to be true

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5
Q

Logically Indeterminate

A

When a sentence can be true or false, depending on the values of the literals

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6
Q

Logical Equivalence

A

When two sentences always have the same truth values

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7
Q

Logical consistency

A

When it is possible for all sentences in a set to be true

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8
Q

Logical Entailment

A

When it is impossible or the conclusion to be false when the arguments are true

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9
Q

Arguments

A

A set of sentences with at least 1 premise and at least 1 conclusion

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10
Q

Deductively Valid

A

When the premises entail the conclusion

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11
Q

TF True

A

(TF): True all the time

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12
Q

TF False

A

(TF): False all the time

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13
Q

TF Equivalent

A

(TF): Two sentences have the same truth value for the same inputs

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14
Q

TF Entailment

A

(TF): Impossible for the context to be all true and P to be false. (\gamma |= P)

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