What language to learn after Haskell?
As my first programming language, I decided to learn Haskell. I'm an analytic philosophy major, and Haskell allowed me to quickly and correctly create programs of interest, for instance, transducers for natural language parsing, theorem provers, and interpreters. Although I've only been programming for two and a half months, I found Haskell's semantics and syntax much easier to learn than more traditional imperative languages, and feel comfortable (now) with the majority of its constructs.
Programming in Haskell is like sorcery, however, and I would like to broaden my knowledge of programming. I would like to choose a new programming language to learn, but I do not have enough time to pick up an arbitrary language, drop it, and repeat. So I thought I would pose the question here, along with several stipulations about the type of language I am looking for. Some are subjective, some are intended to ease the transition from Haskell.
Weighing the answers : These are just notes, of course. I'd just like to reply to everyone who gave well-formed responses. You have been very helpful.
1) Several responses indicated that a strong, statically typed language emphasizing recursion means another functional language. While I want to continue working strongly with Haskell, camccann and larsmans correctly pointed out that another such language would "ease the transition too much." These comments have been very helpful, because I am not looking to write Haskell in Caml! Of the proof assistants, Coq and Agda both look interesting. In particular, Coq would provide a solid introduction to constructive logic and formal type theory. I've spent a little time with first-order predicate and modal logic (Mendellsohn, Enderton, some of Hinman), so I would probably have a lot of fun with Coq.
2) Others heavily favored Lisp (Common Lisp, Scheme and Clojure). From what I gather, both Common Lisp and Scheme have excellent introductory material (On Lisp and The Reasoned Schemer, SICP). The material in SICP causes me to lean towards Scheme. In particular, Scheme through SICP would cover a different evaluation strategy, the implementation of laziness, and a chance to focus on topics like continuations, interpreters, symbolic computation, and so on. Finally, as others have pointed out, Lisp's treatment of code/data would be entirely new. Hence, I am leaning heavily towards option (2), a Lisp.
3) Third, Prolog. Prolog has a wealth of interesting material, and its primary domain is exactly the one I'm interested in. It has a simple syntax and is easy to read. I can't comment more at the moment, but after reading an overview of Prolog and skimming some introductory material, it ranks with (2). And it seems like Prolog's backtracking is always being hacked into Haskell!
4) Of the mainstream languages, Python looks the most interesting. Tim Yates makes the languages sound very appealing. Apparently, Python is often taught to first-year CS majors; so it's either conceptually rich or easy to learn. I'd have to do more research.
Thank you all for your recommendations! It looks like a Lisp (Scheme, Clojure), Prolog, or a proof assistant like Coq or Agda are the main langauages being recommended.
I would like to broaden my knowledge of programming. (...) I thought I would pose the question here, along with several stipulations about the type of language I am looking for. Some are subjective, some are intended to ease the transition from Haskell.
Strong type system. (...) It also makes informally reasoning about the correctness of my program easier. I'm concerned with correctness, not efficiency.
Emphasis on recursion rather than iteration. (...)
You may be easing the transition a bit too much here, I'm afraid. The very strict type system and purely functional style are characteristic of Haskell and pretty much anything resembling a mainstream programming language will require compromising at least somewhat on one of these. So, with that in mind, here are a few broad suggestions aimed at retaining most of what you seem to like about Haskell, but with some major shift.
Disregard practicality and go for "more Haskell than Haskell" : Haskell's type system is full of holes, due to nontermination and other messy compromises. Clean up the mess and add more powerful features and you get languages like Coq and Agda , where a function's type contains a proof of its correctness (you can even read the function arrow -> as logical implication!). These languages have been used for mathematical proofs and for programs with extremely high correctness requirements. Coq is probably the most prominent language of the style, but Agda has a more Haskell-y feel (as well as being written in Haskell itself).
Disregard types, add more magic : If Haskell is sorcery, Lisp is the raw, primal magic of creation. Lisp-family languages (also including Scheme and Clojure ) have nearly unparalleled flexibility combined with extreme minimalism. The languages have essentially no syntax, writing code directly in the form of a tree data structure; metaprogramming in a Lisp is easier than non-meta programming in some languages.
Compromise a bit and move closer to the mainstream : Haskell falls into the broad family of languages influenced heavily by ML, any of which you could probably shift to without too much difficulty. Haskell is one of the strictest when it comes to correctness guarantees from types and use of functional style, where others are often either hybrid styles and/or make pragmatic compromises for various reasons. If you want some exposure to OOP and access to lots of mainstream technology platforms, either Scala on the JVM or F# on .NET have a lot in common with Haskell while providing easy interoperability with the Java and .NET platforms. F# is supported directly by Microsoft, but has some annoying limitations compared to Haskell and portability issues on non-Windows platforms. Scala has direct counterparts to more of Haskell's type system and Java's cross-platform potential, but has a more heavyweight syntax and lacks the powerful first-party support that F# enjoys.
Most of those recommendations are also mentioned in other answers, but hopefully my rationale for them offers some enlightenment.
I'm going to be That Guy and suggest that you're asking for the wrong thing.
First you say that you want to broaden your horizons. Then you describe the kind of language that you want, and its horizons sound incredibly like the horizons you already have. You're not going to gain very much by learning the same thing over and over.
I would suggest you learn a Lisp — ie Common Lisp, Scheme/Racket or Clojure. They're all dynamically typed by default, but feature some sort of type hinting or optional static typing. Racket and Clojure are probably your best bets.
Clojure is more recent and has more Haskellisms like immutability by default and lots of lazy evaluation, but it's based on the Java Virtual Machine, which means it has some odd warts (eg the JVM doesn't support tail call elimination, so recursion is kind of a hack).
Racket is much older, but has picked up a lot of power along the way, such as static type support and a focus on functional programming. I think you'd probably get the most out of Racket.
The macro systems in Lisps are very interesting and vastly more powerful than anything you'll see anywhere else. That alone is worth at least looking at.
From the standpoint of what suits your major, the obvious choice seems like a logic language such as Prolog or its derivatives. Logic programming can be done very neatly in a functional language (see, eg The Reasoned Schemer) , but you might enjoy working with the logic paradigm directly.
An interactive theorem proving system such as twelf or coq might also strike your fancy.
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