Polish notation
E812224
Polish notation is a mathematical and logical expression format that places operators before their operands, eliminating the need for parentheses to denote order of operations.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Polish notation canonical | 1 |
| Łukasiewicz notation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9632743 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Polish notation Context triple: [Reverse Polish Notation, isRelatedTo, Polish notation]
-
A.
Reverse Polish Notation
Reverse Polish Notation is a mathematical expression format that places operators after their operands, eliminating the need for parentheses and simplifying stack-based computation.
-
B.
Peano notation
Peano notation is a formal symbolic system for representing natural numbers and arithmetic operations using axioms and successor functions, developed by Giuseppe Peano.
-
C.
ONP
ONP is the IATA airport code for Newport Municipal Airport in Newport, Oregon, United States.
-
D.
shunting-yard algorithm
The shunting-yard algorithm is a method for parsing mathematical expressions and converting infix notation to postfix (or prefix) form using a stack-based procedure.
-
E.
Knuth’s up-arrow notation
Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Polish notation Target entity description: Polish notation is a mathematical and logical expression format that places operators before their operands, eliminating the need for parentheses to denote order of operations.
-
A.
Reverse Polish Notation
Reverse Polish Notation is a mathematical expression format that places operators after their operands, eliminating the need for parentheses and simplifying stack-based computation.
-
B.
Peano notation
Peano notation is a formal symbolic system for representing natural numbers and arithmetic operations using axioms and successor functions, developed by Giuseppe Peano.
-
C.
ONP
ONP is the IATA airport code for Newport Municipal Airport in Newport, Oregon, United States.
-
D.
shunting-yard algorithm
The shunting-yard algorithm is a method for parsing mathematical expressions and converting infix notation to postfix (or prefix) form using a stack-based procedure.
-
E.
Knuth’s up-arrow notation
Knuth’s up-arrow notation is a mathematical notation introduced by Donald Knuth to concisely represent very large integers using iterated exponentiation and its higher-order generalizations.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
logical notation
ⓘ
mathematical notation ⓘ prefix notation ⓘ |
| advantage |
facilitates stack-based evaluation
ⓘ
simplifies expression evaluation algorithms ⓘ unambiguous parsing without precedence rules ⓘ |
| alternativeName |
prefix notation
ⓘ
Łukasiewicz notation ⓘ
linked to:
Polish notation
|
| category | expression notation system ⓘ |
| contrastWith |
infix notation
ⓘ
reverse Polish notation ⓘ |
| countryOfOrigin | Poland ⓘ |
| designedBy | Jan Łukasiewicz ⓘ |
| designedFor | clarity of formal logical expressions ⓘ |
| evaluationOrder | left to right given fixed arity operators ⓘ |
| exampleExpression |
* + 2 3 4 represents (2 + 3) * 4
ⓘ
+ 3 4 represents 3 + 4 ⓘ |
| field |
computer science
ⓘ
mathematical logic ⓘ mathematics ⓘ |
| historicalPeriod | early 20th century ⓘ |
| humanReadability | lower than infix notation for many users ⓘ |
| influenced |
notation in some programming languages and calculators
ⓘ
reverse Polish notation ⓘ |
| introducedInContextOf | propositional logic ⓘ |
| inventor | Jan Łukasiewicz ⓘ |
| logicalStatus | syntactic convention ⓘ |
| mainFeature |
eliminates need for parentheses to denote order of operations
ⓘ
expression evaluation determined solely by position of operators and operands ⓘ |
| nameOrigin | named after the nationality of Jan Łukasiewicz ⓘ |
| notationDirection | operators precede all their operands ⓘ |
| notationStyle | linear notation ⓘ |
| operatorPosition | before operands ⓘ |
| parsingComplexity | simple deterministic parsing ⓘ |
| relatedNotation |
infix notation
ⓘ
postfix notation ⓘ reverse Polish notation ⓘ |
| requires | knowledge of operator arity for correct parsing ⓘ |
| supports | n-ary operators ⓘ |
| timeOfIntroduction | 1920s ⓘ |
| typicalUse |
representation of arithmetic expressions
ⓘ
representation of logical formulas ⓘ |
| usedIn |
compiler design
ⓘ
expression parsing algorithms ⓘ formal proof systems ⓘ stack-based calculators and interpreters ⓘ |
| usesParentheses | no ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Polish notation Description of subject: Polish notation is a mathematical and logical expression format that places operators before their operands, eliminating the need for parentheses to denote order of operations.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Polish notation