# Questions tagged [continuations]

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### Is there a proof of correctness for CPS translations into Appel's IR?

The IR given in Appel's book (Compiling with Continuations) is certainly well explored and battle-tested in production compilers. I have been able to find several works based on or inspired by it (...
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### Tail call optimization via translating to CPS

I am struggling to wrap my head around this compiler technique, so let's say here's my factorial function ...
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### Continuation passing transform

I'm stuck on something in in Shan's article Shift to Control, about CPS. On page three he writes the CPS transform ...
• 115
951 views

### Pattern finding in an array of numbers

I have an array of numbers, and I need to check if there is a repeating pattern in the array. Like, for example, if I have an array A=[1,1,6,1,1,6,1,1,6,1,1,6...] this should return "Yes" (...
1 vote
16 views

### Is it possible to implement a defer statement with delimited continuations?

A defer statement takes another statement and evaluates the given statement at the end of the current function call. See how Go does it. Delimited continuations can be abused to provide throw/catch ...
• 113
1 vote
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### Analogue of disjunction and existence properties for a Turing-complete programming language?

Quoting from Wikipedia: In mathematical logic, the disjunction and existence properties are the "hallmarks" of constructive theories such as Heyting arithmetic and constructive set theories ...
• 111
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### Understanding $\lambda \mu$-calculus in more programming way

I am learning $\lambda \mu$-calculus (self-study). I learned it because it seems very useful for understanding Curry-Howard correspondence (e.g understanding the connection between classical logic ...
• 275
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### How can we convert between a program using call/cc and a program using functions written in CPS?

The Scheme Programming Language says It turns out that any program that uses call/cc can be rewritten in CPS without call/cc, but a total rewrite of the program (sometimes including even system-...
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### Explain auto continue passing style transformations

Recently I saw 3 cps transformation rules, but no explanations were given. expressions: $e :=x\left|e e^{\prime}\right| \lambda x \cdot e$ rules:  \begin{array}{l}{[[x]]=\lambda \kappa \cdot \...
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### Multi-prompt delimited continuations in terms of single-prompt delimited continuations

Let's call the two languages in question (untyped lambda calculus with single or multiple prompt delimited continuations) L_delim and L_prompt. Is it possible to express multi-prompt delimited ...
• 163
1 vote
51 views

### Can you use CPS to simulate state in a stateless programming language?

In a language supporting CPS, but no built in global state, we can represent a state based computation using a function. We call this function a state function. Assume the function takes three ...
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### Continuation-passing style: what is meant by "CPS'ing"?

I'm reading Dijkstra Monads for Free for a presentation I'll be doing and it's pretty meaty. One of the things that I keep running into is the term "CPS'ing". I've read a little bit on ...
90 views

### Examples of continuations in pure mathematics [closed]

I am not a computer scientist and have no knowledge of programming. However, I wondered continuations occur as natural and interesting mathematical structures, perhaps as algebraic or type theoretic ...
• 194
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### Why is static-single assignment preferred over continuation passing style in many industry-used compilers?

According to the Wikipedia page on static-single assignment (SSA), SSA is used by large and well-known projects such as LLVM, GCC, MSVC, Mono, Dalvik, SpiderMonkey, and V8 while the page on projects ...
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### Continuation of strictly monotone function on a plane

I have a computational problem where I'm given the values of a function $f(x,y)$ sampled on 2D regular grid. The function is given in a compact domain of a grid and it is strictly monotone w.r.t. $x$ ...
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### When used as call stack, do garbage-free spaghetti stacks form a DAG?

I'm looking into implementation techniques for programming languages, and recently came across spaghetti stacks, which are supposedly a good fit for a continuation passing style model (given their use ...
• 212
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### How would I write an if-statement in continuation passing style without an if-statement?

Using continuation passing style, many common language constructs can be written in a simple language with recursion, including loops (using trampolining), exceptions, generators and even function ...
• 171
213 views

### What does it mean to be "closed" under beta reduction?

I am reading the paper Compiling with Continuations, Continued, and in section 2.4, Comparison with ANF, the author draws attention to the fact that ANF is not closed under beta reduction. The snippet ...
265 views

### Reference request: Monads, continuations, and other functional CS concepts

I've been using Clojure for about 18 months. Recently, I've come across terms such as Monads, Continuations, et al which I'd like to learn about. I could visit Wikipedia and read about these two ...
• 163
909 views

### Are there a lambda-mu expression equivalent to the yin yang puzzle?

The yin yang puzzle was written in Scheme. Since it uses call/cc, it is not possible to express it in a pure lambda expression, unless we do a CPS transform. However, given the fact that $\lambda \mu$...
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