Do some aggressive trimming and editing.

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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2025-12-30 00:06:17 -08:00
parent 4602d02720
commit 626baefd76

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@@ -11,28 +11,18 @@ person asked me:
> So, you work on the programming language. What's next for you?
The question caught me so off-guard that I had to make sure I heard it right.
Next? From this? Upon some reflection, I realized that I hadn't even imagined
worlds in which I voluntarily do anything other than working on programming
languages. Upon further reflection, I realized just how deeply __I love the
field__. The part that surprised me the most was to realize just how varied
the things I find appealing are; the more I think about it, the more I become
convinced that
{{< sidenote "right" "pl-note" "programming languages" >}}
I will hereafter abbreviate this as PL to save probably kilobytes of storage
space for this post.
{{< /sidenote >}}
has something to offer a lot of people. So, in that spirit, I thought I'd
write up the variety of reasons I love PL, to share my enthusiasm. This
list is a non-exhaustive survey that holds the dual purpose
of explaining my personal infatuation with the field, and providing
This caught me off-guard because I hadn't even conceived of moving on.
I don't want to move on, because __I love the field of programming languages__.
In addition, I have come to think there is something in PL for everyone, from
theorists to developers to laypeople.
So, in that spirit, I am writing this list as a non-exhaustive survey that holds
the dual purpose of explaining my personal infatuation with PL, and providing
others with ways to engage with PL that align with their existing interests.
My general thesis goes something like this: programming languages are a unique
mix of the __inherently human and social__ and the __deeply mathematical__,
a mix that often remains deeply grounded in the practical, __low-level realities of
our hardware__. In these many domains, PL rewards creativity and encourages
artfulness.
our hardware__.
Personally, I find all of these properties equally important, but we have to
start somewhere. Let's begin with the human aspect of programming languages.
@@ -45,8 +35,7 @@ start somewhere. Let's begin with the human aspect of programming languages.
> --- Abelson & Sussman, _Structure and Interpretation of Computer Programs_.
As we learn more about the other creatures that inhabit our world, we discover
that they are similar to us in ways that we didn't expect. They conceive
of time, have internal lives, individual identities. However, our
that they are similar to us in ways that we didn't expect. However, our
language is unique to us. It gives us the ability to go far beyond
the simple sharing of information: we communicate abstract concepts,
social dynamics, stories. In my view, storytelling is our birthright more
@@ -57,22 +46,17 @@ _Code should always tell a story_, I've heard throughout my education and career
_It should explain itself_. In paradigms such as
[literate programming](https://en.wikipedia.org/wiki/Literate_programming),
we explicitly mix prose and code. Notebook technologies
like [JuPyTer](https://jupyter.org/) intersperse computation with explanations
like [Jupyter](https://jupyter.org/) intersperse computation with explanations
thereof.
Viewing programming as a more precise form of storytelling, I can give the
first reason I love PL:
* __Reason 1__: programming languages provide the foundation of expressing
human thought and stories through code.
This begs a follow-up. There are many ways to think about a problem, and
there are many ways to tell a story. From flowery prose to clinical report,
human expression takes a wide variety of forms. The need to vary
our descriptions is also well-served by the diversity of PL paradigms.
From stateful transformations in languages like Python and C++, through
pure and immutable functions in Haskell and Lean, to fully declarative
statements-of-fact in Prolog and Nix, various languages have evolved to
From flowery prose to clinical report, human expression takes a wide variety
of forms. The need to vary our descriptions is also well-served by the diversity
of PL paradigms. From stateful transformations in languages like Python and C++,
through pure and immutable functions in Haskell and Lean, to fully declarative
statements-of-fact in Nix, various languages have evolved to
support the many ways in which we wish to describe our world and our needs.
* __Reason 2__: diverse programming languages enable different perspectives
@@ -82,13 +66,10 @@ support the many ways in which we wish to describe our world and our needs.
Those human thoughts of ours are not fundamentally grounded in logic,
mathematics, or anything else. They are a product of millennia of evolution
through natural selection, of adaptation to ever-changing conditions.
If we were pure, logical agents, we could write our code in the stripped-down
and pure frameworks of
[lambda calculus](https://en.wikipedia.org/wiki/Lambda_calculus) or
[Turing machines](https://en.wikipedia.org/wiki/Turing_machine). Instead,
our cognition is limited, rife with blind spots, and partial to the subject
Our cognition is limited, rife with blind spots, and partial to the subject
matter at hand. We lean on objects, actors, contracts, and more as helpful,
mammal-compatible analogies. Thus,
mammal-compatible analogies. I find this to be beautiful; here is something
we can really call ours.
* __Reason 3__: programming languages imbue the universe's fundamental rules of
computation with humanity's identity and idiosyncrasies. They carve out
@@ -120,12 +101,11 @@ Besides its syntax and semantics, a programming language is comprised of its
surrounding tooling: its interpreter or compiler, perhaps its package manager
or even its editor. Language designers and developers take great care to
[improve the quality of error messages](https://elm-lang.org/news/compiler-errors-for-humans),
to provide [convenient editor tooling](https://chapel-lang.org/blog/posts/chapel-lsp/)
(hey, that's us on the Chapel team!), and build powerful package managers
like [Yarn](https://yarnpkg.com/), [`uv`](https://docs.astral.sh/uv/),
and more. Thus, in each language project, there is room for folks who,
even if they are not particularly interested in grammars or semantics, care
about the user experience.
to provide [convenient editor tooling](https://chapel-lang.org/blog/posts/chapel-lsp/),
and build powerful package managers
like [Yarn](https://yarnpkg.com/). Thus, in each language project, there is
room for folks who, even if they are not particularly interested in grammars or
semantics, care about the user experience.
* __Reason 5__: programming languages provide numerous opportunities for
thoughtful forays into the realms of User Experience and Human-Computer
@@ -145,11 +125,9 @@ communities do more than share know-how about writing code. In many
cases, I think language communities rally around ideals embodied by their
language. The most obvious example seems to be Rust. From what I've seen,
the Rust community believes in language design that protects its users
from the precarious landscape of low-level programming. The Go community
believes in radical simplicity, rejecting the never-ending layering of
abstractions in language design. Julia incorporates numeric representations and
algorithms from diverse research projects into an interoperable collection
of scientific packages.
from the pitfalls of low-level programming. The Go community
believes in radical simplicity. Julia actively incorporates contributions from
diverse research projects into an interoperable set of scientific packages.
* __Reason 6__: programming languages are complex collaborative social projects
that have the power to champion innovative ideas within the field of
@@ -169,12 +147,6 @@ computation and mathematics.
>
> --- Philip Wadler, _Propositions as Types_
Imagine for a moment that along the familiar carbon-based, DNA-carrying
life, there existed on Earth life built from entirely different building
blocks. It would look and act pretty much the same, but somehow be made
at its core from different _stuff_. This is how I feel about the mathematical
underpinnings of practical programming languages.
There are two foundations,
[lambda calculus](https://en.wikipedia.org/wiki/Lambda_calculus) and
[Turing machines](https://en.wikipedia.org/wiki/Turing_machine), that underpin
@@ -185,11 +157,11 @@ to the
Through bottom-up organization of "control unit instructions" into
"structured programs" into the imperative high-level languages today, we can
trace the influence of Turing machines in C++, Python, Java, and many others.
At the same time, running on the same hardware and looking more familiar
than one might expect, functional programming languages like Haskell represent
a chain of succession from the lambda calculus, embellished today with
types and numerous other niceties. These two lineages are inseparably linked:
they have been mathematically proven to be equivalent. Two lives doing the same thing.
At the same time, and running on the same hardware functional programming
languages like Haskell represent a chain of succession from the lambda calculus,
embellished today with types and numerous other niceties. These two lineages
are inseparably linked: they have been mathematically proven to be equivalent.
They are two worlds coexisting.
The two foundations have a crucial property in common: they are descriptions
of what can be computed. Both were developed initially as mathematical formalisms.
@@ -230,25 +202,21 @@ of programming languages, perhaps that's not too surprising.
In talking about how programs behave, we run into an important limitation
of reasoning about Turing machines and lambda calculus, stated precisely in
[Rice's theorem](https://en.wikipedia.org/wiki/Rice%27s_theorem):
all non-trivial semantic properties of programs are undecidable. This means
that in general, we can't decide for certain whether a program terminates
or runs infinitely (see the [halting problem](https://en.wikipedia.org/wiki/Halting_problem)),
or if it throws exceptions / produces errors. There will always be programs
that elude not only human analysis, but algorithmic understanding.
all non-trivial semantic properties of programs (termination, throwing errors)
are undecidable. There will always be programs that elude not only human analysis,
but algorithmic understanding.
It is in the context of this constraint that I like to think about type systems.
The beauty of type systems, to me, is in how they tame the impossible.
A well-typed program may well be guaranteed not to produce any errors, or
produce only the "expected" sort of errors, or or terminate. Though the precise
properties guaranteed by any given type system vary by language or even by
type checker, the general principle holds: by constructing reasonable
_approximations_ of program behavior, type systems allow us to verify that
programs are well-behaved in spite of Rice's theorem. Much of the time, too,
we can do so in a way that is straightforward for humans to understand and
machines to execute.
Depending on the design of a type system, a well-typed program may well be
guaranteed not to produce any errors, or produce only the "expected" sort of
errors. By constructing reasonable _approximations_ of program
behavior, type systems allow us to verify that programs are well-behaved in
spite of Rice's theorem. Much of the time, too, we can do so in a way that is
straightforward for humans to understand and machines to execute.
* __Reason 9__: in the face of the fundamentally impossible, type systems
grant us confidence in our programs for surprisingly little cost.
grant us confidence in our programs for surprisingly little conceptual cost.
At first, type systems look like engineering formalisms. That
may well be the original intention, but in our invention of type systems,
@@ -262,9 +230,9 @@ This is an incredibly deep connection. In adding parametric polymorphism
to a type system (think Java generics, or C++ templates without specialization),
we augment the corresponding logic with the "for all x" (\(\forall x\)) quantifier.
Restrict the copying of values in a way similar to Rust, and you get an
[affine logic](https://en.wikipedia.org/wiki/Affine_logic), capable of reasoning about resources and their use. Add
[dependent types](https://en.wikipedia.org/wiki/Dependent_type), like in Idris, and you
have a system powerful enough [to serve as a foundation for mathematics](https://en.wikipedia.org/wiki/Intuitionistic_type_theory).
[affine logic](https://en.wikipedia.org/wiki/Affine_logic), capable of reasoning about resources and their use.
In languages like Agda with [dependent types](https://en.wikipedia.org/wiki/Dependent_type),
you get a system powerful enough [to serve as a foundation for mathematics](https://en.wikipedia.org/wiki/Intuitionistic_type_theory).
Suddenly, you can write code and mathematically prove properties about that
code in the same language. I've done this in my work with
[formally-verified static program analysis]({{< relref "series/static-program-analysis-in-agda" >}}).
@@ -281,7 +249,7 @@ I therefore present:
to logic, allowing us to mathematically prove properties about code,
using code, and to advance mathematics through the practices of software engineering.
{{< details summary="Bonus meta-reason to love the mathy side of PL!" >}}
In addition to the theoretical depth, I also find great enjoyment in the way that PL is practiced.
Here more than elsewhere, the creativity and artfulness I've mentioned before come into
play. In PL, [inference rules](https://en.wikipedia.org/wiki/Rule_of_inference) are a
@@ -297,14 +265,12 @@ When navigating the variety and complexity of the many languages and type
systems out there, we can count on inference rules to take us directly to
what we need to know. This same variety naturally demands flexibility in
how rules are constructed, and what notation is used. Though this can sometimes
{{< sidenote "right" "notation-note" "be troublesome," >}}
One <a href="https://labs.oracle.com/pls/apex/f?p=LABS%3A0%3A%3AAPPLICATION_PROCESS%3DGETDOC_INLINE%3A%3A%3ADOC_ID%3A959">paper</a>
I've seen describes <em class="bold">27</em> different ways
of writing the simple operation of substitution.
{{< /sidenote >}}
be troublesome (one [paper](https://labs.oracle.com/pls/apex/f?p=LABS%3A0%3A%3AAPPLICATION_PROCESS%3DGETDOC_INLINE%3A%3A%3ADOC_ID%3A959")
I've seen describes __27__ different ways of writing the simple operation of substitution in literature!),
it also creates opportunities for novel and elegant ways of formalizing
PL.
* __Reason 11__: the field of programming languages has a standard technique
* __Bonus Reason__: the field of programming languages has a standard technique
for expressing its formalisms, which precisely highlights core concepts
and leaves room for creative expression and elegance.
{{< /details >}}