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Polish_notation abstract "Polish notation (PN), also known as normal Polish notation (NPN), Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a form of notation for logic, arithmetic, and algebra. Its distinguishing feature is that it places operators to the left of their operands. If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity. The Polish logician Jan Łukasiewicz invented this notation in 1924 in order to simplify sentential logic.The term Polish notation is sometimes taken (as the opposite of infix notation) to also include Polish postfix notation, or reverse Polish notation (RPN), in which the operator is placed after the operands.When Polish notation is used as a syntax for mathematical expressions by programming language interpreters, it is readily parsed into abstract syntax trees and can, in fact, define a one-to-one representation for the same. Because of this, Lisp (see below) and related programming languages define their entire syntax in terms of prefix notation (and others use postfix notation).Here is a quotation from a paper by Jan Łukasiewicz, Remarks on Nicod's Axiom and on \"Generalizing Deduction\", page 180. I came upon the idea of a parenthesis-free notation in 1924. I used that notation for the first time in my article Łukasiewicz(1), p. 610, footnote. The reference cited by Jan Łukasiewicz above is apparently a lithographed report in Polish. The referring paper by Łukasiewicz Remarks on Nicod's Axiom and on \"Generalizing Deduction\" was reviewed by H. A. Pogorzelski in the Journal of Symbolic Logic in 1965.Alonzo Church mentions this notation in his classic book on mathematical logic as worthy of remark in notational systems even contrasted to Whitehead and Russell's logical notational exposition and work in Principia Mathematica.In Łukasiewicz 1951 book, Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic, he mentions that the principle of his notation was to write the functors before the arguments to avoid brackets and that he had employed his notation in his logical papers since 1929. He then goes on to cite, as an example, a 1930 paper he wrote with Alfred Tarski on the sentential calculus.While no longer used much in logic, Polish notation has since found a place in computer science.".
Polish_notation thumbnail Prefix-dia.svg?width=300.
Polish_notation wikiPageExternalLink ambi.
Polish_notation wikiPageID "25056".
Polish_notation wikiPageLength "17187".
Polish_notation wikiPageOutDegree "76".
Polish_notation wikiPageRevisionID "707329425".
Polish_notation wikiPageWikiLink Abstract_syntax_tree.
Polish_notation wikiPageWikiLink Alfred_North_Whitehead.
Polish_notation wikiPageWikiLink Alfred_Tarski.
Polish_notation wikiPageWikiLink Algebra.
Polish_notation wikiPageWikiLink Alonzo_Church.
Polish_notation wikiPageWikiLink Argument_of_a_function.
Polish_notation wikiPageWikiLink Arithmetic.
Polish_notation wikiPageWikiLink Arity.
Polish_notation wikiPageWikiLink Bertrand_Russell.
Polish_notation wikiPageWikiLink Bijection.
Polish_notation wikiPageWikiLink Binary_function.
Polish_notation wikiPageWikiLink Calculator.
Polish_notation wikiPageWikiLink Category:Logical_expressions.
Polish_notation wikiPageWikiLink Category:Mathematical_notation.
Polish_notation wikiPageWikiLink Category:Operators_(programming).
Polish_notation wikiPageWikiLink Category:Polish_inventions.
Polish_notation wikiPageWikiLink Category:Science_and_technology_in_Poland.
Polish_notation wikiPageWikiLink CoffeeScript.
Polish_notation wikiPageWikiLink Computer_science.
Polish_notation wikiPageWikiLink Currying.
Polish_notation wikiPageWikiLink Existential_quantification.
Polish_notation wikiPageWikiLink First-class_function.
Polish_notation wikiPageWikiLink Forth_(programming_language).
Polish_notation wikiPageWikiLink Function_application.
Polish_notation wikiPageWikiLink Functional_predicate.
Polish_notation wikiPageWikiLink HP_calculators.
Polish_notation wikiPageWikiLink Henry_Pogorzelski.
Polish_notation wikiPageWikiLink Hungarian_notation.
Polish_notation wikiPageWikiLink Infix_notation.
Polish_notation wikiPageWikiLink Interpreter_(computing).
Polish_notation wikiPageWikiLink Jan_Łukasiewicz.
Polish_notation wikiPageWikiLink Józef_Maria_Bocheński.
Polish_notation wikiPageWikiLink Lambda_calculus.
Polish_notation wikiPageWikiLink Lisp_(programming_language).
Polish_notation wikiPageWikiLink Logic.
Polish_notation wikiPageWikiLink Logical_biconditional.
Polish_notation wikiPageWikiLink Logical_conjunction.
Polish_notation wikiPageWikiLink Logical_connective.
Polish_notation wikiPageWikiLink Logical_disjunction.
Polish_notation wikiPageWikiLink Material_conditional.
Polish_notation wikiPageWikiLink Mathematical_logic.
Polish_notation wikiPageWikiLink Modal_logic.
Polish_notation wikiPageWikiLink Negation.
Polish_notation wikiPageWikiLink Operand.
Polish_notation wikiPageWikiLink Operator_(mathematics).
Polish_notation wikiPageWikiLink Order_of_operations.
Polish_notation wikiPageWikiLink Oxford_University_Press.
Polish_notation wikiPageWikiLink Poland.
Polish_notation wikiPageWikiLink Polish_School_of_Mathematics.
Polish_notation wikiPageWikiLink Polish_language.
Polish_notation wikiPageWikiLink PostScript.
Polish_notation wikiPageWikiLink Principia_Mathematica.
Polish_notation wikiPageWikiLink Programming_language.
Polish_notation wikiPageWikiLink Propositional_calculus.
Polish_notation wikiPageWikiLink Reverse_Polish_notation.
Polish_notation wikiPageWikiLink S-expression.
Polish_notation wikiPageWikiLink Sheffer_stroke.
Polish_notation wikiPageWikiLink Stack-oriented_programming_language.
Polish_notation wikiPageWikiLink Tcl.
Polish_notation wikiPageWikiLink Universal_quantification.
Polish_notation wikiPageWikiLink Up_tack.
Polish_notation wikiPageWikiLink File:Prefix-dia.svg.
Polish_notation wikiPageWikiLinkText "Polish notation".
Polish_notation wikiPageWikiLinkText "Polish prefix".
Polish_notation wikiPageWikiLinkText "Polish".
Polish_notation wikiPageWikiLinkText "notation, in the style of Łukasiewicz".
Polish_notation wikiPageWikiLinkText "polish notation".
Polish_notation wikiPageWikiLinkText "prefix notation for logic".
Polish_notation wikiPageWikiLinkText "prefix notation".
Polish_notation wikiPageWikiLinkText "prefix style of evaluation".
Polish_notation wikiPageWikiLinkText "prefix".
Polish_notation wikiPageWikiLinkText "Łukasiewicz notation".
Polish_notation wikiPageUsesTemplate Template:About.
Polish_notation wikiPageUsesTemplate Template:Cite_book.
Polish_notation wikiPageUsesTemplate Template:Color.
Polish_notation wikiPageUsesTemplate Template:Operator_notation_sidebar.
Polish_notation wikiPageUsesTemplate Template:Reflist.
Polish_notation subject Category:Logical_expressions.
Polish_notation subject Category:Mathematical_notation.
Polish_notation subject Category:Operators_(programming).
Polish_notation subject Category:Polish_inventions.
Polish_notation subject Category:Science_and_technology_in_Poland.
Polish_notation hypernym Form.
Polish_notation type Diacritic.
Polish_notation type Redirect.
Polish_notation comment "Polish notation (PN), also known as normal Polish notation (NPN), Łukasiewicz notation, Warsaw notation, Polish prefix notation or simply prefix notation, is a form of notation for logic, arithmetic, and algebra. Its distinguishing feature is that it places operators to the left of their operands. If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity.".
Polish_notation label "Polish notation".
Polish_notation sameAs Q214510.
Polish_notation sameAs Полски_запис.
Polish_notation sameAs Notació_polonesa.
Polish_notation sameAs Prefixová_notace.
Polish_notation sameAs Polnische_Notation.
Polish_notation sameAs Pola_skribmaniero.