Order logic is a branch of mathematical logic that deals with the concept of order.

Order logic is used to study the properties of ordered sets.

Order logic is used to develop algorithms for sorting and searching data.

All of the above.

Total order logic

Partial order logic

Linear order logic

Strict order logic

A binary relation that is transitive and reflexive.

A binary relation that is transitive and antisymmetric.

A binary relation that is reflexive and antisymmetric.

A binary relation that is transitive, reflexive, and antisymmetric.

A partial order logic that is also antisymmetric.

A partial order logic that is also transitive.

A partial order logic that is also reflexive.

A partial order logic that is also transitive and reflexive.

A linear order logic that is also dense.

A linear order logic that is also connected.

A linear order logic that is also well-founded.

A linear order logic that is also complete.

A total order logic is transitive, reflexive, and antisymmetric, while a partial order logic is only transitive and reflexive.

A total order logic is transitive and antisymmetric, while a partial order logic is only transitive and reflexive.

A total order logic is transitive and reflexive, while a partial order logic is only transitive.

A total order logic is transitive, while a partial order logic is only reflexive.

A linear order logic is transitive, reflexive, and antisymmetric, while a partial order logic is only transitive and reflexive.

A linear order logic is transitive and antisymmetric, while a partial order logic is only transitive and reflexive.

A linear order logic is transitive and reflexive, while a partial order logic is only transitive.

A linear order logic is transitive, while a partial order logic is only reflexive.

A strict order logic is transitive, reflexive, and antisymmetric, while a linear order logic is only transitive and reflexive.

A strict order logic is transitive and antisymmetric, while a linear order logic is only transitive and reflexive.

A strict order logic is transitive and reflexive, while a linear order logic is only transitive.

A strict order logic is transitive, while a linear order logic is only reflexive.

The set of real numbers with the usual ordering.

The set of integers with the usual ordering.

The set of rational numbers with the usual ordering.

All of the above.

The set of subsets of a set with the subset relation.

The set of strings with the prefix relation.

The set of natural numbers with the divisibility relation.

All of the above.

The set of real numbers with the usual ordering.

The set of integers with the usual ordering.

The set of rational numbers with the usual ordering.

All of the above.

The set of real numbers with the usual ordering.

The set of integers with the usual ordering.

The set of rational numbers with the usual ordering.

None of the above.

Sorting and searching algorithms.

Scheduling algorithms.

Resource allocation algorithms.

All of the above.

The existence of a universal order logic.

The decidability of order logic.

The complexity of order logic.

All of the above.

Developing new order logics.

Investigating the applications of order logic.

Studying the foundations of order logic.

All of the above.