> ELI5: pratt parser How does a computer read math like 3 + 4 2? A Pratt Parser teaches the computer which operations are "stronger" (like a referee in a game) You write 3 + 4 2 split chopped into pieces (tokens) 3 + 4 2 parse result: a tree of operations + 3 4 2 compute answer = 11 beats + (higher power!) Tokens = LEGO Bricks Break the expression into small labeled pieces first. 3 + 4 2 numbers & operators Each token knows what it is. The parser reads them one by one. Binding Power = Grip Each operator has a "grip" strength. Stronger grip grabs numbers first! + grip: weak grip: strong! has higher binding power than + so 4 2 sticks together first. This is what "precedence" means! Parse Tree = Recipe The result is a tree showing what to compute in what order. + 3 4 2 do this first then this eli5.cc

ELI5: pratt parser

high confidence
March 30, 2026tech

// explanation

// eli5

What is a Pratt parser?

A Pratt parser is a way to teach a computer to read and understand mathematical expressions like "2 + 3 * 4" [2]. Instead of checking every possible rule for how operations should be ordered, it looks at each piece (called a token) one at a time and figures out what to do based on what it sees [3].

Why do we need it?

When you write math or code, some operations need to happen before others - like multiplication before addition [2]. A Pratt parser is really good at handling these rules, and it's much simpler to write than other methods [1].

How is it different from other parsers?

Most parsers check every level of importance for operations, like checking for addition, then multiplication, then parentheses [3]. A Pratt parser is smarter - it just looks at the next piece of information and decides what to do based on that one piece [3].

When would you use it?

Programmers use Pratt parsers when they're building interpreters or compilers - basically tools that read code or expressions and understand them [6].

// sources

[1]Simple but Powerful Pratt Parsing - matklad

Apr 13, 2020 ... The simplest technique for hand-writing a parser is recursive descent, which models the grammar as a set of mutually recursive functions.

[2]Pratt Parsers: Expression Parsing Made Easy - Bob Nystrom

Mar 19, 2011 ... Pratt parsing is the jelly. When you mix the two together, you get a simple, terse, readable parser that can handle any grammar you throw at it.

[3]How does Pratt Parsing work? : r/ProgrammingLanguages - Reddit

Feb 9, 2022 ... A Pratt parser dispatches on the next token, instead of recursing down the N precedence levels. In the end it's not all that different.

[4]Operator-precedence parser - Wikipedia

Operator-precedence parser ยท Contents ยท Relationship to other parsers ยท Precedence climbing method ยท Pratt parsing ยท Alternative methods ยท References ยท External links.

[5]Pratt Parsing - DEV Community

Aug 11, 2017 ... Pratt parsing works by scanning the input tokens, and classifying them into two categories ... operators that operate to the right, with no left-ย ...

[6]This Simple Algorithm Powers Real Interpreters: Pratt Parsingvideo

Video by Core Dumped

This Simple Algorithm Powers Real Interpreters: Pratt Parsing
[7]Pratt Parsingvideo

Video by Colin James

Pratt Parsing
[8]Parsing Explained - Computerphilevideo

Video by Computerphile

Parsing Explained - Computerphile
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