Category
page 1Binary relations
equality
mathematical relationship asserting that two quantities have the same value
binary relation
set of ordered pairs with first element in A and second element in B
partially ordered set
set ordered by a transitive, antisymmetric, and reflexive binary relation
equivalence class
mathematical concept
congruence relation
equivalence relation in algebra
converse relation
relation that occurs when the order of the elements in a given relation is switched
upward directed set
preordered set whose every finite subset has an upper bound
transitive closure
operation on binary relations
reflexive closure
operation on binary relations
equipollence
property of parallel segments that have the same length and the same direction
join and meet
two related operations on a poset in order theory
symmetric closure
operation on binary relations
category of relations
category of sets and relations
accessibility relation
modal logic relationship
TFNP
In computational complexity theory, the complexity class TFNP is the class of total function problems that can be solved in nondeterministic polynomial time. That is, it is the class of function problems that are guaranteed to have an answer, and this answer can be checked in polynomial time, or equivalently it is the subset of FNP where a solution is guaranteed to exist. The abbreviation TFNP stands for "Total Function Nondeterministic Polynomial".