Term = function (term1,....termn) or

- LeftLegOf (Richard)**constant**or**variables**- A logical expression that refers to an object

- There are 2 kinds of terms:

- Function symbols: LeftLeg(Pete), Sqrt(3), Plus(2,3) etc

**Atomic Sentence**= predicate (term1,.....,termn)

or term1 = term2

An

**atomic sentence**is formed from a predicate symbol followed by list of terms.

Examples:

LargeThan(2,3) is false.

Brother_of(Mary,Pete) is false.

Married(Father(Richard),Mother(John)) could be true or false.

Note: Functions do not state facts and form no sentence:

- Brother(Pete) refers to John (his brother) and is neither true nor false

Brother_of(Pete,Brother(Pete)) is True.

Binary relation Function

**Complex Sentences**

We make complex sentence with connectives (just like in propositional logic).

**More Examples**

- Brother(Richard, John) ∧ Brother(John, Richard)
- King(Richard) ∨ King (john)
- King(John)=> á†¨King(Richard)
- LessThan(plus(1,2),4)∧GreaterThan(1,2)

**Variables**

- Person(John) is true or false because we give it a single argument 'John'
- We can be much more flexible if we allow variables which can take on values in a domain. e.g., all person x, all integers i, etc.

or Integer(i) => Integer(plus(i,1)

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