I googled the topic, but besides Wikipedia I didn't find any further useful documentation or articles.
Can anybody explain to me in simple words what it means or refer me to some nice and easy to understand documentation?
Examples. A simple example of invariance is expressed in our ability to count. For a finite set of objects of any kind, there is a number to which we always arrive, regardless of the order in which we count the objects in the set.
In computer programming, specifically object-oriented programming, a class invariant (or type invariant) is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The class invariant constrains the state stored in the object.
An invariant is a condition or relation that is always true. The definition is modified somewhat for concurrent execution: an invariant is a condition or relation that is true when the associated lock is being set. Once the lock is set, the invariant can be false.
An invariant is a statement (one hopes well-founded) that will always be true whenever it applies, and is not represented in the code itself. Invariants are indeed useful for proving correctness, but they are not limited to that case. They are also useful for defensive-programming and during debugging.
It doesn't mean anything in particular in reference to Java.
A class invariant is simply a property that holds for all instances of a class, always, no matter what other code does.
For example,
class X { final Y y = new Y(); }
X has the class invariant that there is a y
property and it is never null
and it has a value of type Y
.
class Counter { private int x; public int count() { return x++; } }
This fails to maintain two important invariants:
count
never returns a negative value because of possible underflow.count
are strictly monotonically increasing.The modified class preserves those two invariants.
class Counter { private int x; public synchronized int count() { if (x == Integer.MAX_VALUE) { throw new IllegalStateException(); } return x++; } }
...but fails to preserve the invariant that calls to count
always succeed normally (absent TCB-violations†) because count
might throw an exception or it might block if a deadlocked thread owns the counter's monitor.
Each language with classes make it easy to maintain some class invariants but not others. Java is no exception:
private
fields, so invariants that rely on private data are easy to maintain.null
values to sneak in in many ways, so it is tough to maintain "has a real value" invariants.† - An externality or TCB violation is an event which a systems designer optimistically assumes will not happen.
Typically we just trust that the basic hardware works as advertised when talking about properties of high-level languages built on them, and our arguments that invariants hold don't take into account the possibility of:
setAccessible
to modify private
lookup tables.For some systems our TCB might include only parts of the system, so we might not assume that
...but we might assume that:
The higher-level a system, the larger its TCB typically is, but the more unreliable things you can get out of your TCB, the more likely your invariants are to hold, and the more reliable your system will be in the long run.
Invariant means something that should stick to its conditions no matter whatever changes or whoever uses/transforms it. That is to say, a property of a class always fulfills or satisfies some condition even after going through transformations by using public methods. So, the client or user of this class is ensured about the class and its property.
For example,
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