Polish notation

Polish notation
Logical notation devised by the Polish logician Jan Łukasiewicz (1878–1956) which dispenses with the need for parentheses indicating the scope of each logical connective. The propositional functors are N for ¬ (negation); K for & (conjunction); C for → (implication); and E for ↔ (equivalence). Each precedes the symbols to which it applies, and since there is a definite number of these, no scope ambiguity can arise. Thus CKpqr reads (p & q ) →r . The different p & (qr ) would be KpCqr . The quantifiers are xFx and ΣxFx . Although intellectually elegant, Polish notation is hard to read without practice, and is not widely used.

Philosophy dictionary. . 2011.

Look at other dictionaries:

  • Polish notation — Polish notation, also known as 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… …   Wikipedia

  • Polish Notation —   [engl.], polnische Notation …   Universal-Lexikon

  • Polish notation — beskliaustis užrašas statusas T sritis informatika apibrėžtis ↑Reiškinio užrašymo būdas nenaudojant skliaustų, bet išlaikant bet kokią reikiamą operacijų atlikimo eilę. Pirmiau rašomi operandai, po jų – operacijos ženklas, pavyzdžiui, vietoj a +… …   Enciklopedinis kompiuterijos žodynas

  • Polish notation — noun a parenthesis free notation for forming mathematical expressions in which each operator precedes its operands • Syn: ↑prefix notation, ↑Lukasiewicz notation • Hypernyms: ↑parenthesis free notation …   Useful english dictionary

  • 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 + …   Wiktionary

  • Polish notation — noun Logic & Computing a system of formula notation without brackets or special punctuation, used to represent arithmetical operations …   English new terms dictionary

  • Reverse Polish notation — (or just RPN) by analogy with the related Polish notation, a prefix notation introduced in 1920 by the Polish mathematician Jan Łukasiewicz, is a mathematical notation wherein every operator follows all of its operands. It is also known as… …   Wikipedia

  • reverse Polish notation — noun an arithmetic notation in which numbers precede the operators to be applied to them. Back in my day, we had reverse Polish notation calculators: You had to write 2 4 3 , + instead of 2 + 4 , 3 . Syn: postfix notation …   Wiktionary

  • reverse Polish notation — noun Date: 1975 a system of representing mathematical and logical operations in which the operands precede the operator and which does not require the use of parentheses < (3 + 5) (2 + 1) in reverse Polish notation is expressed as 3 5 + 2 1 + >… …   New Collegiate Dictionary

  • Reverse Polish notation —   [engl.], umgekehrte polnische Notation …   Universal-Lexikon

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