Equivalence partitioning or equivalence class partitioning (ECP) is a software testing technique that divides the input data of a software unit into partitions...

{\displaystyle a=c} (transitive). Each equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given...

a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These...

exactly one subset. Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped...

for material equivalence, so proper interpretation would depend on the context. Logical equivalence is different from material equivalence, although the...

to do, not how it does it. Black-box testing methods include: equivalence partitioning, boundary value analysis, all-pairs testing, state transition tables...

that set. Those inputs which belong to the same equivalence class as defined by the equivalence partitioning theory would constitute the basis. Given that...

techniques include decision table testing, all-pairs testing, equivalence partitioning, boundary value analysis, cause–effect graph, error guessing, state...

induced incomparability relation is an equivalence relation. In this case, its equivalence classes partition S {\displaystyle S} and moreover, the set...

unbounded dense linear ordering. This is sufficient to ensure elementary equivalence, because the theory of unbounded dense linear orderings is complete,...

each test cases. It also uses a variety of methodologies (such as equivalence partitioning, boundary testing, and combinatorial methods such as linear expansion)...

equality. Loosening this to a coarser equivalence relation yields quantification of uniqueness up to that equivalence (under this framework, regular uniqueness...

the set S contains exactly the non-negative numbers in its range. The equivalence of semidecidability and enumerability can be obtained by the technique...

Feshbach–Fano partitioning Foliation Frequency partition Graph partition Kernel of a function Lamination (topology) Matroid partitioning Multipartition...

gives an algebraic characterization of the semantic notion of elementary equivalence, and the Robinson–Zakon presentation of the use of superstructures and...

cardinals. The simplest example is the theory of an equivalence relation with exactly two equivalence classes, both of which are infinite. Another example...

testing. Equivalence Partitioning The input data may be divided into many partitions. Values from each partition must be tested at least once. Partitions with...

Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian product...

elements, and elements of a set which are related by an equivalence relation belong to the same equivalence class. Type-theoretical foundations of mathematics...

Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian product...

techniques. Suggested test design techniques in this group are: Equivalence partitioning Classification Tree Method Boundary-value analysis Syntax testing...

true. The negation of the weak partition principle: There is a set that can be partitioned into strictly more equivalence classes than the original set...

defined as p . q .=. ~(~p ∨ ~q) Df. (PM 1962:12) Equivalence: Logical equivalence, not arithmetic equivalence: "≡" given as a demonstration of how the symbols...

connectives include negation, disjunction, conjunction, implication, and equivalence. In standard systems of classical logic, these connectives are interpreted...

publications, which dealt very clearly and precisely with equivalence relations, partitions of sets, and homomorphisms. Thus, many of the usual set-theoretic...

to do, not how it does it. Black-box testing methods include: equivalence partitioning, boundary value analysis, all-pairs testing, state transition tables...

Tarski's semantic theory of truth. Some authors refer to it as the "Equivalence Schema", a synonym introduced by Michael Dummett. The T-schema is often...

Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian product...

Class (Ur-)Element Ordinal number Extensionality Forcing Relation equivalence partition Set operations: intersection union complement Cartesian product...

resulting equivalences: two expressions are α-equivalent, if they can be α-converted into the same expression. β-equivalence and η-equivalence are defined...