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39 Cards in this Set

  • Front
  • Back

Alphabet

A finite set of objects called symbols

Argument

An input to a function

Binary relation

A relation whose domain is a set of pairs

Boolean operation

An operation on Boolean values

Boolean value

The values True or False, often represented by 1 or 0

Cross product

An operation on sets forming a set of all tuples of elements from respective sets

Complement

An operation on a set, forming the set of all elements not present

Concatenation

An operation that that sticks strings from one set together with strings from another set

Conjunction

Boolean AND operation

Connected graph

A graph with paths connecting every two nodes

Cycle

A path that starts and ends in the same node

Directed graph

A collection of points and arrows connecting some pair of points

Disjunction

Boolean OR operation

Domain

The set of possible inputs to a function

Edge

A line in a graph

Element or Member

An object in a set

Empty set

The set with no members

Empty string

The string with length zero

Equivalence relation

A binary relation that is reflexive, symmetric, and transitive

Function

An operation that translates inputs into ouputs

Graph

A collection of points and lines connecting some pair of points

Intersection

An operation on sets forming the set of common elements

k-tuple

A list of k objects

Language

A set of strings

Node or Vertex
A point on a graph

Pair

A list of two elements, also called a 2-tuple

Path

A sequence of nodes in a graph connected by edges

Predicate
A function whose range is {TRUE, FALSE}

Property

A predicate

Range

The set from which outputs of a function are drawn

Relation

A predicate, most typically when the domain is a set of k-tuples

Sequence

A list of objects

Set

A group of objects

Simple path

A path without repetition

String

A finite list of symbols from an alphabet

String

A finite list of symbols from an alphabet

Symbol

A member of an alphabet

Tree

A connected graph without simple cycles

Union

An operation on set combining all elements into a single set