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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

4 Issues per year

SCImago Journal Rank (SJR) 2016: 0.207
Source Normalized Impact per Paper (SNIP) 2016: 0.315

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Volume 23, Issue 3


Polish Notation

Taneli Huuskonen
Published Online: 2015-09-30 | DOI: https://doi.org/10.1515/forma-2015-0014


This article is the first in a series formalizing some results in my joint work with Prof. Joanna Golinska-Pilarek ([12] and [13]) concerning a logic proposed by Prof. Andrzej Grzegorczyk ([14]).

We present some mathematical folklore about representing formulas in “Polish notation”, that is, with operators of fixed arity prepended to their arguments. This notation, which was published by Jan Łukasiewicz in [15], eliminates the need for parentheses and is generally well suited for rigorous reasoning about syntactic properties of formulas.

Keywords: Polish notation; syntax; well-formed formula

MSC: 68R15; 03B35

MML identifier:: POLNOT 1


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About the article

Received: 2015-04-30

Published Online: 2015-09-30

Published in Print: 2015-09-01

Citation Information: Formalized Mathematics, Volume 23, Issue 3, Pages 161–176, ISSN (Online) 1898-9934, DOI: https://doi.org/10.1515/forma-2015-0014.

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© by Taneli Huuskonen. This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. BY-SA 3.0

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