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单词 Polish notation
释义
Polish notation

Computer
  • A form of notation, invented by the Polish mathematician Jan Lukasiewicz, in which each operator precedes its operands, e.g.

    a+bisexpressedas+ab
    If all operators take exactly two operands, or if each operator has a specific number of operands, then no brackets are required since the order of evaluation is always uniquely defined; the notation can then be described as parenthesis-free. See also reverse Polish notation.


Philosophy
  • Logical notation devised by the Polish logician Jan Łukasiewicz 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 Π‎xFx and Σ‎xFx. Although intellectually elegant, Polish notation is hard to read without practice, and is not widely used.


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