Lambda the Ultimate

Interesting blog post by Crista Lopes. Here is some text from the bottom that struck a chord with me:

In order to do experimental design research AND be scientifically honest at the same time, one needs to let go of claims altogether. In that dreadful part of a topic proposal where the committee asks the student “what are your claims?” the student should probably answer “none of interest.” In experimental design research, one can have hopes or expectations about the effects of the system, and those must be clearly articulated, but very few certainties will likely come out of such type of work. And that’s ok! It’s very important to be honest. For example, it’s not ok to claim “my language produces bug-free programs” and then defend this with a deductive argument based on unproven assumptions; but it’s ok to state “I expect that my language produces programs with fewer bugs [but I don't have data to prove it].” TB-L’s proposal was really good at being honest.

We've talked a little about programming language design research before.

A blog post about Call-By-Push-Value by Rob Simmons: What does focusing tell us about language design?

I think that one of the key observations of focusing/CBPV is that programs are dealing with two different things - data and computation - and that we tend to get the most tripped up when we confuse the two.

• Data is classified by data types (a.k.a. positive types). Data is defined by how it is constructed, and the way you use data is by pattern-matching against it.
• Computation is classified by computation types (a.k.a. negative types). Computations are defined their eliminations - that is, by how they respond to signals/messages/pokes/arguments.

There are two things I want to talk about, and they're both recursive types: call-by-push-value has positive recursive types (which have the feel of inductive types and/or algebras and/or what we're used to as datatypes in functional languages) and negative recursive types (which have the feel of recursive, lazy records and/or "codata" whatever that is and/or coalgebras and/or what William Cook calls objects). Both positive and negative recursive types are treated by Paul Blain Levy in his thesis (section 5.3.2) and in the Call-By-Push Value book (section 4.2.2).

In particular, I want to claim that Call-By-Push-Value and focusing suggest two fundamental features that should be, and generally aren't (at least simultaneously) in modern programming languages:

• Support for structured data with rich case analysis facilities (up to and beyond what are called views)
• Support for recursive records and negative recursive types.

Previously on Rob's blog: Embracing and extending the Levy language; on LtU: Call by push-value, Levy: a Toy Call-by-Push-Value Language.

And let me also repeat CBPV's slogan, which is one of the finest in PL advocacy: Once the fine structure has been exposed, why ignore it?