Eugenia Cheng's new popular coscience book is out, in the U.K. under the title Cakes, Custard and Category Theory: Easy recipes for understanding complex maths, and in the U.S. under the title How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics:
Cheng, one of the Catsters, gives a guided tour of mathematical thinking and research activities, and through the core philosophy underlying category theory. This is the kind of book you can give to your grandma and grandpa so they can boast to their friends what her grandchildren are doing (and bake you a nice dessert when you come and visit :) ). A pleasant weekend reading.
Self-Representation in Girard’s System U, by Matt Brown and Jens Palsberg:
Typed self-representation has come up here on LtU in the past. I believe the best self-interpreter available prior to this work was a variant of Barry Jay's SF-calculus, covered in the paper Typed Self-Interpretation by Pattern Matching (and more fully developed in Structural Types for the Factorisation Calculus). These covered statically typed self-interpreters without resorting to undecidable type:type rules.
However, being combinator calculi, they're not very similar to most of our programming languages, and so self-interpretation was still an active problem. Enter Girard's System U, which features a more familiar type system with only kind * and kind-polymorphic types. However, System U is not strongly normalizing and is inconsistent as a logic. Whether self-interpretation can be achieved in a strongly normalizing language with decidable type checking is still an open problem.
Linky to Facebook blog: Open-sourcing Facebook Infer: Identify bugs before you ship
John Corcoran, Second-order logic explained in plain English, in Logic, Meaning and Computation: Essays in Memory of Alonzo Church, ed. Anderson and Zelëny.
There is something a little bit Guy Steele-ish about trying to explain the fundamentals of second-order logic (SOL, the logic that Quine branded as set theory in sheep's clothing) and its model theory while avoiding any formalisation. This paper introduces the ideas of SOL via looking at logics with finite, countable and uncountable models, and then talks about FOL and SOL as being complementary approaches to axiomatisation that are each deficient by themself. He ends with a plea for SOL as being an essential tool at least as a heuristic.
Graydon Hoare is the original developer of Rust even before Mozilla adopted it. For the 1.0 release he prepared a lightning talk on how the language changed over 10 years.
Read the full blog post for the content of the five lists.
Composite Replicated Data Types
Draining the Swamp: Micro Virtual Machines as Solid Foundation for Language Development
Many of today's programming languages are broken. Poor performance, lack of features and hard-to-reason-about semantics can cost dearly in software maintenance and inefficient execution. The problem is only getting worse with programming languages proliferating and hardware becoming more complicated. An important reason for this brokenness is that much of language design is implementation-driven. The difficulties in implementation and insufficient understanding of concepts bake bad designs into the language itself. Concurrency, architectural details and garbage collection are three fundamental concerns that contribute much to the complexities of implementing managed languages. We propose the micro virtual machine, a thin abstraction designed specifically to relieve implementers of managed languages of the most fundamental implementation challenges that currently impede good design. The micro virtual machine targets abstractions over memory (garbage collection), architecture (compiler backend), and concurrency. We motivate the micro virtual machine and give an account of the design and initial experience of a concrete instance, which we call Mu, built over a two year period. Our goal is to remove an important barrier to performant and semantically sound managed language design and implementation.Inside you will find the specification of an LLVM-inspired virtual instruction set with a memory model (enables proper GC support) including a specification of concurrent weak-memory operations (reusing C(++)11, a debatable choice), relatively rich control-flow primitive (complete stack capture enabling coroutines or JIT-style de-optimization), and live code update.
There is little public about Eve so far, no precise design documents, but the development team has a public monthly Development Diary that I found fairly interesting. It displays an interesting form of research culture, with in particular recurrent reference to academic works that are coming from outside the programming-language-research community: database queries, Datalog evaluation, distributed systems, version-control systems. This diary might be a good opportunity to have a look at the internals of a language design process (or really programming environment design) that is neither academic nor really industrial in nature. It sounds more representative (I hope!) of the well-educated parts of startup culture.
The public/target for the language is described as "non-programmers", but in fact it looks like their control group has some previous experience of Excel. (I would guess that experimenting with children with no experience of programming at all, including no Excel work, could have resulted in very different results.)
Posts so far, by Jamie Brandon:
Some random quotes.
Excited, we presented our prototype to a small number of non-programmers and sat back to watch the magic. To our horror, not a single one of them could figure out what the simple example program did or how it worked, nor could they produce any useful programs themselves. The sticking points were lexical scope and data structures. Every single person we talked to just wanted to put data in an Excel-like grid and drag direct references. Abstraction via symbol binding was not an intuitive or well-liked idea.
In a traditional imperative language, [context] is provided by access to dynamic scoping (or global variables - the poor mans dynamic scope) or by function parameters. In purely functional languages it can only be provided by function parameters, which is a problem when a deeply buried function wants to access some high up data and it has to be manually threaded through the entire callstack.
Eve processes can now spawn subprocesses and inject code into them. Together with the new communication API this allowed much of the IDE architecture to be lifted into Eve. When running in the browser only the UI manager lives on the main thread - the editor, the compiler and the user's program all live in separate web-workers. The editor uses the process API to spawn both the compiler and the user's program and then subscribes to the views it needs for the debugging interface. Both the editor and the user's program send graphics data to the UI manager and receiving UI events in return.
FLOPS 2016, promoting cross-fertilization across the whole declarative programming and theory and practice
LtU generally is not appropriate venue for posting call-for-papers, but there have been exceptions, if the CFP has an exceptionally wide appeal. Hopefully FLOPS 2016 might qualify.
FLOPS has been established to promote cooperation between logic and functional programmers, hence the name. This year we have taken the name exceptionally seriously, to cover the whole extent of declarative programming, which also includes program transformation, re-writing, and extracting programs from proofs of their correctness. There is another strong emphasis: on cross-fertilization among people developing theory, writing tools and language systems using that theory, and the users of these tools. We specifically ask the authors to make their papers understandable by the wide audience of declarative programmers and researchers.
As you can see from the Program Committee list, the members have done first-rate theoretic work, and are also known for their languages, tools and libraries. PC will appreciate the good practical work. Incidentally, there is a special category, ``System Descriptions'' that FLOPS has always been known for. We really want to have more submissions in that category.
One can see even on LtU that there is some rift between theoreticians and practitioners: Sean McDermid messages come to mind. He does have many good points. We really hope that FLOPS will help repair this rift.
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