Book · 1994
How to Prove It: A Structured Approach
by Daniel J. Velleman
A step-by-step guide that teaches the formal logic of mathematical proofs before you encounter them in algorithms or type theory.
What does Reddit think of How to Prove It: A Structured Approach?
Five mentions across seven years doesn't make a phenomenon, but the two subreddits that do cite it — r/learnprogramming with 3 mentions and r/compsci with 2 — agree on what the book is for: plugging the logic gap that CLRS and formal CS courses assume you've already filled. The highest-voted endorsement, ↑399 in r/learnprogramming, recommends it specifically as a "primer on logic" for people who want to learn proofs, paired with 3B1B for linear algebra. A r/compsci commenter (↑11) pointed someone struggling with CLRS toward Velleman's book explicitly because "you should try to find a book focused on mathematical proofs." No one argues with it. No one calls it a slog. The silence is almost suspicious — the book lands in conversations where something harder has broken people, and it gets mentioned once and never contested.
Community feedback & reader fit
Themes
- · Mathematical proof fundamentals
- · Formal logic and boolean reasoning
- · Bridge to rigorous computer science texts
- · Self-teaching discrete mathematics
Common praise
- + Fills the proof-writing gap that stops self-taught programmers cold when they hit CLRS.
- + The r/learnprogramming ↑399 comment treats it as the go-to primer before any formal logic work.
- + Gets recommended without argument — no commenter in the data pushes back on the suggestion.
- + Covers exactly the subset of logic that conditional expressions and boolean algebra in code depend on.
Common criticism
- − Five total mentions in seven years suggests most programmers skip it entirely rather than seek it out.
- − The data doesn't surface a single quote about pacing, exercises, or whether it actually works — readers who struggled and quit aren't in these threads.
Who it's for
You're two chapters into CLRS and the proofs read like a foreign language. That's who this is for. If formal methods, type theory, or any graduate-level CS text is on your list, Velleman gives you the notation and the logic engine before you need them under pressure. Developers who've noticed their reasoning about conditionals gets fuzzy past three nested cases will find the boolean-algebra framing useful even outside a proof context. If you already sailed through a discrete math course, the ground here is covered.
Mentions over time
Top subreddits
Which Reddit comments matter for How to Prove It: A Structured Approach?
Top-upvoted quotes across the subreddits where this book is mentioned. Click through to read the full thread.
“If you want a primer on logic, and particularly if you want to learn about proofs, check out How to Prove It by Daniel Velleman. For Linear Algebra, start with 3B1B's animated series on [linear algebra](
“One thing that helped me along the way was to see a connection between conditional expressions and boolean algebra. When you're staring at long conditionals in your code, it's easy to get distracted by all the letters, punctuation, and possibly function calls and their parameters, or member accesse…
“I actually had a lot of fun self teaching computer science from CLRS, which is known to be full of proofs/rigor. It seems like you’re having more trouble with the logic side; you should try to find a book focused on mathematical proofs if you want to get better at reading/writing them. Maybe Vellema…
Convinced? Pick up How to Prove It: A Structured Approach
What else does r/learnprogramming read?
Other books mentioned in the same sub, ranked. Shared-sub overlap with this title breaks ties.
The Pragmatic Programmer
Andy Hunt
Two veterans hand you a checklist for the craft: don't write code you don't need, own your tools, and fix the broken window before someone else does.
Structure and Interpretation of Computer Programs
Harold Abelson
MIT's 1985 Scheme textbook that 319 Reddit commenters have recommended and a noticeably smaller number have finished.
Think Like a Programmer
V. Anton Spraul
V. Anton Spraul's guide to breaking down any programming problem before writing a single line of code — written for learners who know syntax but freeze at blank pages.
Code: The Hidden Language of Computer Hardware and Software
Charles Petzold
A retired software engineer builds a computer from telegraph relays and flashlights, one chapter at a time, until you understand what a CPU actually does.
Clean Code
Robert C. Martin
The book 536 Reddit threads cite when arguing about naming variables — revered by beginners, argued over by seniors.
Introduction to Algorithms
Thomas H. Cormen
The textbook four MIT professors wrote to settle every algorithms argument, cited by 254 Reddit commenters across 12 subreddits and still going.
How to Prove It: A Structured Approach — frequently asked
What does Reddit actually say about How to Prove It?+
Uniformly positive, though low-volume. The ↑399 comment in r/learnprogramming names it the go-to logic primer; a r/compsci comment (↑11) points someone lost in CLRS directly to Velleman. No one argues against it.
Should I read How to Prove It before tackling CLRS?+
Yes, if proofs make you nervous. The r/compsci commenter who got through CLRS by self-teaching specifically flags that Velleman's book is the right fix for people having trouble on the logic side. The data doesn't show anyone who read it and then still found CLRS impenetrable.
Is How to Prove It relevant for programmers or just math students?+
Depends on your stack. Both subs that mention it are programming-oriented, and r/learnprogramming explicitly connects it to logic in code — conditionals, boolean algebra, reasoning about program behavior. It's not mentioned in pure-math contexts in this data at all.
How popular is How to Prove It on Reddit compared to similar books?+
It doesn't generate discussion on its own — it appears as a recommendation when someone else is already struggling. That's a different kind of reputation than a book people debate, and arguably a more useful one.