Polish notation

noun

A notation for arithmetic (and logical) formulae in which operations (respectively, quantifiers and operands) are written immediately before their operands, used to avoid the need for parentheses; for example, 3 * (4 + 7) is written as * 3 + 4 7 and A AND B is written as AND A B.

Similar
prefix notationLukasiewicz notation

Meanings

nounPolish notation (uncountable)
  1. uncountablearithmeticA notation for arithmetic (and logical) formulae in which operations (respectively, quantifiers and operands) are written immediately before their operands, used to avoid the need for parentheses; for example, 3 * (4 + 7) is written as * 3 + 4 7 and A AND B is written as AND A B.
    1 more example

    In Polish Notation, the connectives are placed before the wffs. The virtue of this sentence is that its grammar is simpler, for it has no need for parentheses. Sider’s examples: (P ∧ Q) → R and P ∧ (Q → R) become → ∧PQR and ∧P → QR. If you actually look at a text in this tradition, you’ll find something slightly different. “C” stands for “consequence”, i.e., implication (→) and “N” for negation (∼). So,consider the following from Tarski and Łukasiewicz’s Investigations into the Sentential Calculus. The claim there is that there are three axioms: ‘CCpqCCqrCpr’ ‘CCNppp’ ‘CpCNpq’

    2009, Brandon C. Look, “Symbolic Logic II, Lecture 6”, in www.uky.edu/~look, archived from the original on 09 Nov 2011

    Synonyms: prefix notation

Synonyms & antonyms

nounA notation for arithmetic (and logical) formulae in which operations (respectively, quantifiers and operands) are written immediately before their operands, used to avoid the need for parentheses; for example, 3 * (4 + 7) is written as * 3 + 4 7 and A AND B is written as AND A B.

More synonyms by meaning

nouna parenthesis-free notation for forming mathematical expressions in which each operator precedes its operands

Similar
prefix notationLukasiewicz notation
Broader
parenthesis-free notation

Synonym sets from Open English WordNet, CC BY 4.0.

Origin

After the nationality of the logician Jan Łukasiewicz

Full word history & related roots →

Translations

Bulgarian полски запис
  • полски запис (polski zapis)notation for arithmetic formulae
Chinese Mandarin 波蘭表示法 /波兰表示法
  • 波蘭表示法 /波兰表示法 (Bōlán biǎoshìfǎ)notation for arithmetic formulae
Czech polská notace
  • polská notacenotation for arithmetic formulae
Finnish puolalainen notaatio
  • puolalainen notaationotation for arithmetic formulae
French notation polonaise
  • notation polonaisenotation for arithmetic formulae
German Polnische Notation
  • Polnische Notationnotation for arithmetic formulae
Greek πολωνικός συμβολισμός
  • πολωνικός συμβολισμός (polonikós symvolismós)notation for arithmetic formulae
Japanese ポーランド記法
  • ポーランド記法 (Pōrando-kihō)notation for arithmetic formulae
Polish notacja polska, zapis przedrostkowy
  • notacja polskanotation for arithmetic formulae
  • zapis przedrostkowynotation for arithmetic formulae
  • notacja Łukasiewiczanotation for arithmetic formulae
  • notacja prefiksowanotation for arithmetic formulae
  • symbolika beznawiasowanotation for arithmetic formulae
Portuguese notação polonesa
  • notação polonesanotation for arithmetic formulae
Romanian notație poloneză
  • notație polonezănotation for arithmetic formulae
Russian по́льская нота́ция
  • по́льская нота́ция (pólʹskaja notácija)notation for arithmetic formulae
Spanish notación polaca
  • notación polacanotation for arithmetic formulae
Cite this entry
APA

Polish notation. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/Polish%20notation

MLA

“Polish notation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Polish%20notation. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “Polish notation,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/Polish%20notation.

Source: Polish notation on Wiktionary, CC BY-SA 4.0.