>> Cut stops backtracking early which means you might miss valid solutions
That's right, but missing valid solutions doesn't mean that your program is "invalid", whatever that means. The author doesn't say.
Cuts are difficult and dangerous. The danger is that they make your program behave in unexpected ways. Then again, Prolor programs behave in unexpected ways even without the cut, and once you understand why, you can use the cut to make them behave.
In my experience, when one begins to program in Prolog, they pepper their code with cuts to try and stop unwanted bactracking, which can often be avoided by understanding why Prolog is backtracking in the first place. But that's a hard thing to get one's head around, so everyone who starts out makes a mess of their code with the cut.
There are very legitimate and safe ways to use cuts. Prolog textbooks sometimes introduce a terminology of "red" and "green" cuts. Red cuts change the set of answers found by a query, green cuts don't. And that, in itself, is already hard enough to get one's head around.
At first, don't use the cut, until you know what you're doing, is I think the best advice to give to beginner Prolog programmers. And to advanced ones sometimes. I've seen things...
> In my experience, when one begins to program in Prolog, they pepper their code with cuts to try and stop unwanted bactracking, which can often be avoided by understanding why Prolog is backtracking in the first place.
This gets to the heart of my problem with Prolog: it's sold as if it's logic programming - just write your first-order predicate logic and we'll solve it. But then to actually use it you have to understand how it's executed - "understanding why Prolog is backtracking in the first place".
At that point, I would just prefer a regular imperative programming language, where understanding how it's executed is really straightforward, combined with some nice unification library and maybe a backtracking library that I can use explicitly when they are the appropriate tools.
> This gets to the heart of my problem with Prolog: it's sold as if it's logic programming - just write your first-order predicate logic and we'll solve it. But then to actually use it you have to understand how it's executed
Prolog is a logic-flavored programming language. I don't recall Prolog ever being "sold" as pure logic. More likely, an uninformed person simply assumed that Prolog used pure logic.
Complaining that Prolog logic doesn't match mathematical logic is like complaining that C++ objects don't accurately model real-life objects.
It absolutely does sound like "write your first order logic in this subset and we'll solve it". There's no reasonable expectation that it's going to do the impossible like solve decideability for first order logic.
> It absolutely does sound like "write your first order logic in this subset and we'll solve it".
No it does not. Please read the words that you are citing, not the words that you imagine. I honestly can't tell if you are unable to parse that sentence or if you a cynically lying about your interpretation in order to "win" an internet argument.
All programming languages are restricted, at least, to a "Turing complete subset of first-order predicate logic." There is absolutely no implication or suggestion of automatically solving any, much less most, first order logic queries.
>> This gets to the heart of my problem with Prolog: it's sold as if it's logic programming - just write your first-order predicate logic and we'll solve it. But then to actually use it you have to understand how it's executed - "understanding why Prolog is backtracking in the first place".
Prolog isn't "sold" as a logic programming language. It is a logic programming language. Like, what else is it?
I have to be honest and say I've heard this criticism before and it's just letting the perfect be the enemy of the good. The criticism is really that Prolog is not a 100% purely declarative language with 100% the same syntax and semantics as First Order Logic.
Well, it isn't, but if it was, it would be unusable. That would make the critics very happy, or at least the kind of critics that don't want anyone else to have cool stuff, but in the current timeline we just have a programming language that defines the logic programming paradigm, so it makes no sense to say it isn't a logic programming language.
Edit:
>> At that point, I would just prefer a regular imperative programming language, where understanding how it's executed is really straightforward, combined with some nice unification library and maybe a backtracking library that I can use explicitly when they are the appropriate tools.
Yeah, see what I mean? Let's just use Python, or Java, or C++ instead, which has 0% of FOL syntax and semantics and is 0% declarative (or maybe 10% in the case of C++ templates). Because we can't make do with 99% logic-based and declarative, gosh no. Better have no alternative than have a less than absolutely idealised perfect ivory tower alternative.
Btw, Prolog's value is its SLD-Resolution based interpretation. Backtracking is an implementation detail. If you need backtracking use yield or whatever other keyword your favourite imperative language gives you. As to unification, good luck with a "nice unification library" for other languages. Most programmers can't even get their head around regexes. And good luck convincing functional programmers that "two-way pattern matching" (i.e. unification) is less deadly than the Bubonic Plague.
> Red cuts change the set of answers found by a query, green cuts don't.
Ohhh, interesting. So a green cut is basically what I described as cutting branches you know are a waste of time, and red cuts are the ones where you're wrong and cut real solutions?
> At first, don't use the cut, until you know what you're doing, is I think the best advice to give to beginner Prolog programmers. And to advanced ones sometimes. I've seen things...
Yeah, I'm wondering how much of this is almost social or use-case in nature?
E.g., I'm experimenting with Prolog strictly as a logic language and I experiment with (at a really novice level) things like program synthesis or model-to-model transformations to emulate macro systems that flow kind of how JetBrains MPS handles similar things. I'm basically just trying to bend and flex bidirectional pure relations (I'm probably conflating fp terms here) because it's just sort of fun to me, yeah?
So cut _feels_ like something I'd only use if I were optimizing and largely just as something I'd never use because for my specific goals, it'd be kind of antithetical--and also I'm not an expert so it scares me. Basically I'm using it strictly because of the logic angle, and cut doesn't feel like a bad thing, but it feels like something I wouldn't use unless I created a situation where I needed it to get solutions faster or something--again, naively anyway.
Whereas if I were using Prolog as a daily GP language to actually get stuff done, which I know it's capable of, it makes a lot of sense to me to see cut and `break` as similar constructs for breaking out of a branch of computation that you know doesn't actually go anywhere?
I'm mostly spit-balling here and could be off base. Very much appreciate the response, either way.
>> So a green cut is basically what I described as cutting branches you know are a waste of time, and red cuts are the ones where you're wrong and cut real solutions?
Basically, yes, except it's not necessarily "wrong", just dangerous because it's tempting to use it when you don't really understand what answers you're cutting. So you may end up cutting answers you'd like to see after all. The "red" is supposed to signify danger. Think of it as red stripes, like.
Which make stuff go faster too (well, a little bit). So, yeah, cuts in general help the compiler/interpreter optimise code execution. I however use it much more for its ability to help me control my program. Prolog makes many concessions to efficiency and usability, and the upshot of this is you need to be aware of its idiosyncrasies, the cut being just one of them.
>> Whereas if I were using Prolog as a daily GP language to actually get stuff done, which I know it's capable of, it makes a lot of sense to me to see cut and `break` as similar constructs for breaking out of a branch of computation that you know doesn't actually go anywhere?
Cuts work like breaks sometimes, but not always. To give a clear example of where I always use cuts, there's a skeleton you use when you want to process the elements of a list that looks like this:
list_processing([], Bind, Bind):-
!. % <-- Easiest way to not backtrack once the list is empty.
list_processing([X|Xs], ..., Acc, Bind, ... ):-
condition(X)
,! % Easiest way to not fall over to the last clause.
,process_a(X,Y)
,list_processing(Xs, ..., [Y|Acc], Bind, ... ).
list_processing([X|Xs], ..., Acc, Bind, ... ):-
process_b(X,Y)
,list_processing(Xs, ..., [Y|Acc], Bind, ... ).
So, the first cut is a green cut because it doesn't change the set of answers your program will find, because once the list in the first argument is empty, it's empty, there's no more to process. However, Prolog will leave two choice points behind, for each of the other two clauses, because it can't know what you're trying to do, so it can't just stop because it found an empty list.
The second cut is technically a red cut: you'd get more answers if you allowed both process_a and process_b to modify your list's elements, but the point is you don't want that, so you cut as soon as you know you only want process_a. So this is forcing a path down one branch of search, not quite like a break (nor a continue).
You could also get the same behaviour without a cut, by e.g. having a negated condition(X) check in the last clause and also checking that the list is not empty in every other clause (most compilers are smart enough to know that means no more choice points are needed), but, why? All you gain this way is theoretical purity, and more verbose code. I prefer to just cut there and get it done. Others of course disagree.
That's right, but missing valid solutions doesn't mean that your program is "invalid", whatever that means. The author doesn't say.
Cuts are difficult and dangerous. The danger is that they make your program behave in unexpected ways. Then again, Prolor programs behave in unexpected ways even without the cut, and once you understand why, you can use the cut to make them behave.
In my experience, when one begins to program in Prolog, they pepper their code with cuts to try and stop unwanted bactracking, which can often be avoided by understanding why Prolog is backtracking in the first place. But that's a hard thing to get one's head around, so everyone who starts out makes a mess of their code with the cut.
There are very legitimate and safe ways to use cuts. Prolog textbooks sometimes introduce a terminology of "red" and "green" cuts. Red cuts change the set of answers found by a query, green cuts don't. And that, in itself, is already hard enough to get one's head around.
At first, don't use the cut, until you know what you're doing, is I think the best advice to give to beginner Prolog programmers. And to advanced ones sometimes. I've seen things...