In todays The Times the public is given a good explanation why the Maltese courts do not have time for unimportant cases like murders, trafficking, rapes, smuggling of narcotics etc. The courts have far more important cases to deal with, namely cases of insulting. A circus agent felt insulted after being called a clown. This terrible crime was rather soon brought to court for judgment. AlphaThe Observer is confident that the public feel great gratitude that the legal system makes such wise priorities.

In 2017, a team from Northeastern University released Turnstile, a framework for implementing propositionally typed languages in Racket; cf. naasking's story Type Systems as Macros. The system was really nice because it allowed type systems to be expressed in a manner similar to the way theoretical PL researchers would in a paper, and because it hooked into Racket's clean compiler backend.

Now Stephen Chang, one of that team, together with new coauthors Michael Ballantyne, Usamilo Turner and William Bowman, have released a rewrite that they call Turnstile+, together with a POPL article, Dependent Type Systems as Macros. From that article's introduction:

Turnstile+ represents a major research leap over its predecessor. Specifically, we solve the major challenges necessary to implement dependent types and their accompanying DSLs and extensions (which Turnstile could not support), while retaining the original abilities of Turnstile. For example, one considerable obstacle was the separation between the macro expansion phase and a program’s runtime phase. Since dependently typed languages may evaluate expressions while type checking, checking dependent types with macros requires new macrology design patterns and abstractions for interleaving expansion, type checking, and evaluation. The following summarizes our key innovations.

• Turnstile+ demands a radically different API for implementing a language’s types. It must be straightforward yet expressive enough to represent a range of constructs from base types, to binding forms like Π-types, to datatype definition forms for indexed inductive type families.
• Turnstile+ includes an API for defining type-level computation, which we dub normalization by macro expansion. A programmer writes a reduction rule using syntax resembling familiar on-paper notation, and Turnstile+ generates a macro definition that performs the reduction during macro expansion. This allows easily implementing modular type-level evaluation.
• Turnstile+’s new type API adds a generic type operation interface, enabling modular implementation of features such as error messages, pattern matching, and resugaring. This is particularly important for implementing tools like tactic systems that inspect intermediate type-checking steps and construct partial terms.
• Turnstile+’s core type checking infrastructure requires an overhaul, specifically with first-class type environments, in order to accommodate features like dependent binding structures of the shape[x:τ]...,i.e., telescopes [de Bruijn 1991; McBride 2000].
• Relatedly, Turnstile+’s inference-rule syntax is extended so that operations over telescopes, or premises with references to telescopes, operate as folds instead of as maps

The code is available at https://github.com/stchang/macrotypes.

From the submitter:

The Antennae snapped off of our radio at work. We fixed it at first by putting a metal scraper on top, but when we needed to use it, the music was gone. I put the fork in the hole. Now it works almost as good as before!

What is this music crap you kids are listening to?

One of the most powerful strategies I’ve found for improving my life is the idea of systems. Basically, rather than setting a goal for yourself, you develop a system of some kind, a set of daily actions that gradually nudge you toward that goal. For example, instead of saying “I’m going to lose 100 pounds this year,” you ask yourself, “What can I sustainably do each day to lead to gradual but significant weight loss over the course of this […]

The post Financial Success Within a System-Oriented Life appeared first on The Simple Dollar.

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You can always get your mom flowers for Mother’s Day, or chocolate, or your standard Mother’s Day gift. Or, if your mom is anything like mine, you can go in a completely different direction.

Gov. Cuomo said he understands the worries of those out of work during the coronavirus pandemic — but the sentiment offered little solace to those who have been watching their bank accounts dwindle for weeks with no relief in sight.

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Trump's executive order to keep meat processing plants open, despite coronavirus risks to workers, is utterly consistent with the federal law's long-standing disregard for food worker safety.

A Government announcement on further steps to reform the building safety system has been welcomed by London Fire Brigade, but senior firefighters also have concerns it has not gone far enough

Problems from the surge of jobless claims reflect years of cutbacks and greater restrictions on eligibility.

The prestigious Hoag Hospital wants to exit its partnership with a Catholic healthcare system.

During the coronavirus crisis, food producers, distributors and retailers in California, producer of much of the U.S. food supply, scramble to adapt.

Filmmaker Justin Pemberton turns French economist Thomas Piketty's 2013 manifesto on inequality, "Capital in the Twenty-First Century," into an engaging documentary.

WEIGHT LOSS can be a very hard journey for many people, especially in the current climate where Brits are mid-way through their sixth week in lockdown. However it is possible to lose weight in a healthy way, by not restricting your diet and at the same time, also looking after your digestive system, one of the most important parts of the body. An expert has revealed how to lose weight whilst looking after your body.

ABOUT US OTG Group began with the idea that grouping food vendors together could create an experience that would allow neighbors, friends, and families to connect. Since then, OTG's products have worked hard to develop services that change the way that people think about going out. Off the G

Software/system Test Engineer responsibilities include but not limited to independently planning and performing test assignments involving definition of test and verification requirements, plans and sequences relative to complex software and hardware subsystems and resolve identified conflicting iss

Do you want to work with a team of engineering professionals dedicated to excellence at one of Woolperts many locations? Do you want to be part of a Great Place to Work? Are you looking to join a growing cutting edge AEG firm? If so, we want YOU! As a licensed professional Electrical Engineer - i

Polaris Alpha was formed in 2016 through the merger of EOIR Technologies, Intelligent Software Solutions (ISS), PROTEUS Technologies and Intelesys. The Company has approximately 1,200 employees with major offices in Colorado Springs, CO, Fredericksburg, VA, Annapolis Junction, MD, Aberdeen Proving G

CRIME rates seem to have dropped in the UK during the lockdown phase of the Government's response to the coronavirus pandemic. However, that doesn't mean you are completely safe. Here's some tips on how to keep your home safe during the lockdown.

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