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Logical connectives along with quantifiers are the two main types of logical constants used in formal systems such as propositional logic and predicate logic.
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Languages with the full power of first-order predicate logic may be required for many tasks.
en.wikipedia.org
They successfully transferred key properties of description, modal, and temporal logic to predicate logic.
en.wikipedia.org
It is more expressive than propositional logic but has more efficient decision problems than first-order predicate logic.
en.wikipedia.org
For predicate logic, the atoms are predicate symbols together with their arguments, each argument being a term.
en.wikipedia.org
Type theory extends this identification to predicate logic by introducing dependent types, that is types which contain values.
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The main difference between truth-value semantics and the standard semantics for predicate logic is that there are no domains for truth-value semantics.
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In informal usage, the term predicate logic occasionally refers to first-order logic.
en.wikipedia.org
These three additional rules extend the propositional system to axiomatise classical predicate logic.
en.wikipedia.org
Each of these two principles is an instance of a valid argument form known as universal hypothetical syllogism in first-order predicate logic.
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