Pseudocode: how to present an algorithm to a reader

Question: how should an algorithm be presented (pseudocode, flowchart, structured English, program design language, literate program, executable specification, real code) so the reader understands it and can implement or verify it.

Steps frame review state of the art position against baseline protocol sources bibliography

Related general principles (not reviewed again here):

Claims

Claim Grade Where
Detailed flowcharts gave no reliable gain over text for writing, reading, debugging or changing programs measured, old and small tasks review.md 1
Code-like constrained text (PDL) beat plain English prose for coding and debugging time in two experiments of professionals, with a trend in a third; part of the gap was variable naming measured review.md 1
PDL designs were more detailed than flowchart designs; comprehension of equivalent designs did not differ measured, abstract read only review.md 1
Structured flowcharts beat pseudocode for comprehension in two independent groups (Scanlan 1989; Andrzejewska 2022, 114 participants); the first one's stimuli were disputed measured, contested review.md 1, against.md
A flowchart environment and Python gave similar overall results as a first language in a 1,083-student cluster-randomised study (one demographic group did worse with Python); students judged Python more valuable measured review.md 4
No systematic review of how an algorithm is presented to a human reader was found; seven neighbouring reviews cover other questions measured, descriptive (this search) review.md 0
Visual against textual is the wrong contrast: the notation must match the conventions readers expect supported with caveat review.md 2
The comparison literature is thin: 95 code comprehension experiments in 40 years, over half with students only, one replication measured, descriptive review.md 2
Five exam boards each publish their own reference language and differ on assignment symbol and index base; only OCR withholds marks outside its own measured, descriptive review.md 4
Practitioners split on executable code against pseudocode; no study tests either side convention, untested review.md 6, against.md
About one arXiv paper in ten has pseudocode (1991-2023 sample) measured, descriptive review.md 5
Reproducibility guidance asks for pseudocode to reduce ambiguity; no study tested that it does convention, untested review.md 5
An executable specification found bugs that prose and pseudocode designs hid (one company, self-reported) convention, untested review.md 6
Literate programming raised the amount of documentation in one course; no comprehension experiment was found supported with caveat review.md 7
Indentation as an aid has mixed evidence: one replication failed, one trial found a large effect on reading time supported with caveat review.md 2