Meaning of 'private' keyword in Alloy? Meaning of 'enum' declaration? - alloy

The Alloy 4 grammar allows signature declarations (and some other things) to carry a private keyword. It also allows Allow specifications to contain enumeration declarations of the form
enum nephews { hughie, louis, dewey }
enum ducks { donald, daisy, scrooge, nephews }
The language reference doesn't (as far as I can tell) describe the meaning of either the private keyword or the enum construct.
Is there documentation available? Or are they in the grammar as constructs that are reserved for future specification?

This is my unofficial understanding of those two keywords.
enum nephews { hughie, louis, dewey }
is semantically equivalent to
open util/ordering[nephews] as nephewsOrd
abstract sig nephews {}
one sig hughie extends nephews {}
one sig louis extends nephews {}
one sig dewey extends nephews {}
fact {
nephewsOrd/first = hughie
nephewsOrd/next = hughie -> louis + louis -> dewey
}
The private keyword means that if a sig has the private attribute, its label is private within the same module. The same applies for private fields and private functions.

In addition to the previous accepted answer, I'd like to add some useful insights coming from a one-week experience with Alloy on enums, in particular on the main differences with standard sig.
If you use abstract sig + extend, you'll come up with a model in which there are many sets corresponding to the same concept. Maybe an example could clarify it better.
Suppose somthing like
sig Car {
dameges: set Damage
}
You have the choice to use
abstract sig Damage {}
sig MajorDamage, MinorDamage extends Damage {}
vs
enum Damage {
MajorDamage, MinorDamage
}
In the first case we can come up wiht a model with different MinorDamage atoms (MinorDamage0, MinorDamage1, ...) associatet to Cars, while in the second case you always have only one MinorDamage to which different Cars can refer.
It could have some sense in this case to use an abstract sig + extend form (because you can decide to track different MinorDamage or MajorDamage elements).
On the other hand, if you want to have a currentState: set State, it could be better to use an
enum State {Damaged, Parked, Driven}
to map the concept, in order to have exactly three State to which each Car can refer to. In this way, in the Visualizer, you can decide to project your model on exactly one of the states and it will highlight all the Cars associated to this state. You can't do that with the abstract + extend construct, of course, because projecting over MajorDamage0 will highlight only the Car associated to that Damage and nothing else.
So, in conclusion, it really depends on what you have to do.
Also, keep in mind that if you have an enum composed by X elements and execute
run some_predicate for Y
where Y < X, Alloy produces no instance at all.
So, in our last example, we can't have a Y < 3.
As a last note, enums don't always appear in the Visualizer if you use the Magic Layout button, but as I said previously you can "project" your model over the enum and switch between the different elements of the enum.

Related

sig literals in Alloy

How can I write out a literal for a sig in Alloy? Consider the example below.
sig Foo { a: Int }
fact { #Foo = 1 }
If I execute this, I get
| this/Foo | a |
|----------|---|
| Foo⁰ | 7 |
In the evaluator, I know I can get a reference to the Foo instance with Foo$0 but how can I write a literal that represents the same value?
I've tried {a: 7}, but this is not equal to Foo$0. This is intentionally a trivial example, but I'm debugging a more complex model and I need to be able to write out literals of sigs with multiple fields.
Ah, this is one of the well hidden secrets! :-) Clearly in your model you cannot refer to atoms since the model is defining all possible values of those atoms. However, quite often you need your hands on some atom to reason about it. That is, you want to be able to name some objects.
The best way to get 'constants' is to create a predicate you call from a run clause. In this predicate, you define names for atoms you want to discuss. You only have to make sure this predicate is true.
pred collision[ car1, car2 : Car, road : Road ] {
// here you can reason about car1 and car2
}
run collision for 10
Another way is to create a quantification whenever you need to have some named objects:
run {
some car1, car2 : Car, road : Road {
// here you can reason about car1 and car2 and road
}
} for 10
There was a recent discussion to add these kinds of instances to the language so that Kodkod could take advantage of them. (It would allow faster solving and it is extremely useful for test cases of your model.) However, during a discussion this solution I presented came forward and it does not require any new syntax.
try to put a limitation for 'Integer' in the 'run' command. I mean :
sig Foo {a : Int}
fact{ #Foo = 1}
pred show {}
run show for 1 Foo, 2 Int

How to draw UML diagrams passing parameters through super constructor

I have a superclass called A and a subclass called B that inherits from A. The superclass's constructor looks like this:
A(String name, char displayChar, int hitPoints, Behaviour behaviour)
{
this.name = name;
this.displayChar = displayChar;
this.hitPoints = hitPoints
addBehaviour(behaviour);
}
A has attributes of name, displayChar, hitPoints, behaviour and has a method that calls addBehaviour which adds the behaviour to the object.
The subclass, B's constructor looks like this:
B(String name) {super(name, char 'b', 10, new WalkBehaviour()); }
Now my question is, does subclass B have an attribute of WalkBehaviour?
How would the UML diagram look like for this scenario? I know B inherits from A and A has Behaviour but does B has WalkBehaviour in this case? Since B doesn't have an instance variable of type WalkBehaviour in its class but only passes WalkBehaviour through its superclass's constructor.
does subclass B have an attribute of WalkBehaviour?
No. There is none declared. The superclass will do something with that new object but obviously it's hidden in the mist of its implementation.
Inheritance is nothing that involves multiple object creation. Your B instance is just a single one which does have attributes and operations like its super class.
Thus, in a SD, you will see only one life line for B:
As you can see the B instance will just issue a self-call to the super class's constructor.
Note: as #AxelScheithauer pointed out in the comment the super class will invoke addBehavior which can (but must not) be shown in the SD:

Constructing a relation in Alloy

In the dining philosophers problem we have a table with Philosophers and Forks.
sig P {}
sig F {}
For this problem I want the following relation that represents the table:
P1 -> F1
F1 -> P2
P2 -> F2
F2 -> P3
P3 -> F3
F3 -> P1
I.e. each P would point to an F and each F to a P, and this would form a circle. I would like to call a function to get this relation:
fun table : (P+F) one -> one (P+F) { ... }
I've been trying hard to make this work but it feels like I am missing something fundamental that also is relevant for other problems I am having. Somehow I miss a 'constructor'.
Any pointers?
Additional
#Hovercouch gave an working solution with a helper sig. However, this required a non-natural extension to the P and F and introduced a new sig. This can also be solved by:
sig P, F {}
one sig Table {
setting : (P+F) one -> one (P+F)
} {
# P = # F
all p : P, f : F | P in p.^setting and F in f.^setting
}
run {} for 6
Which addresses the non-natural inheritance concerns.
However, it still seems very global and a lot of work for an imho very simple problem. Still keeping the question open to see if there are other solutions.
If you're willing to add a helper object, we can do this by making an abstract sig Thing and then making both P and F instances of Thing:
abstract sig Thing {
next: Thing
} {
Thing = this.^#next
}
sig F extends Thing {} {
next in P
}
sig P extends Thing {} {
next in F
}
fact SameNumberOfThings {
#P = #F
}
run {} for 6
There may be a design tradeoff involved here, between expressive power and tractability.
There is certainly an issue of what counts as clean or intuitive; you say that the 'next'-ness of P and F is "an aspect of the table setting" and not "an aspect of P or F". I think I understand your thinking, but I don't think you are likely to have any more success defining a principled way to distinguish between "aspects" of P and F and relations in whose domain or range they appear, any more than any of the philosophers who have tried, over the last couple thousand years, to distinguish reliably between essence and accidence.
And if we accept that the distinction is unreliable, but we nevertheless find it useful, then the question becomes "who made the rule that a relation defined as part of a signature must relate to an (intrinsic) aspect of the individuals involved, and not to an extrinsic relation which is not an aspect of the individuals?" The answer is: you did, not [the creators of] Alloy. If one insists too strongly on one's intuitions about the constructs one wants to use to express something, there is a certain risk of insisting not just that the thing should be expressible but that we should be able to express it using a particular construct. That kind of insistence can teach us a lot about a notation, but sometimes it's easier to accept that the designers of the notation also had intuitions.
This general topic is discussed in Daniel Jackson's Software Abstractions under the questions Does Alloy allow freestanding declarations? (in discussion following section 3.5.3 on higher-order quantification) and Must all relations be declared as fields? (in discussion following section 4.2.2 on basic field declarations). The nut of the discussion is "If you want to declare some relations that don't belong naturally to any existing signatures, you can simply declare them as fields of a singleton signature." Mutatis mutandis, the example given looks a lot the Table sig in your addendum.
TL;DR yes, you may find it a bit cumbersome, but the singleton sig to contain a relation you don't want to define on its first member really is as close to an established idiom as there is, for this sort of thing.

Xtext: Create a unique ID for objects

I have a grammar that looks like
A:
...
B:
...
I want to be able to give each element of type B some serial ID. So every time that the grammar creates a B object, it gets a (unique) new ID as a field.
I tried to do something like:
B:
myID=Tracer.getID()
...
where:
class Tracer {
static int ID=0;
static int getID() { return ID++;}
But I can't call external java class from the grammar.
It would be better if it's solvable without touching the src-gen files.
Thanks.
Are you aware that in textual models, there is no such thing as object identity? I.e. you fundamentally can't say that any two objects in different ASTs are identical. You can only establish an interpretation of equivalence using diff algorithms.
That aside, if you only need a temporary identity, what about using Object.hashCode()?

C# cannot implicitly convert type when types are the same

I have a generic class:
public abstract class ModelSet<T> : ObservableCollection<T>, IModelObject where T : ModelObject, new(){
public static ModelSet<T> Lookup(long pObjectId){
return (ModelObjectMap.Get(pObjectId) as ModelSet<T>);
}
}
I have the following class instantiation of the type using a class Movement defined as:
class Movement : ModelObject.
public partial class Movements : ModelSet<Movement>
The following code won't compile due to
cannot implicitly convert type ModelSet<Movement> to Movements. An explicit conversion exists.
Movements X = Movements.Lookup(12345);
Surely, they are the same. What am I doing wrong?
Surely, they are the same.
No, they're not the same. One is Movements, and the other is ModelSet<Movement>. While every Movements instance is an instance of ModelSet<Movement>, it's entirely possible to have a ModelSet<Movement> which isn't a Movements... and your method's return type only says that it will return a ModelSet<T>.
We have no idea what ModelObjectMap.Get(pObjectId) actually does, but it could definitely return a ModelSet<Movement> instance which isn't a Movements.
We don't know what you need to do with the return value, but you could certainly write:
ModelSet<Movement> X = Movements.Lookup(12345);
... although it's worth noting that the Movements class actually isn't involved in that call at all; it would actually be compiled to:
ModelSet<Movement> X = ModelSet<Movement>.Lookup(12345);

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