The Logical Language Group Online Dictionary Query

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To improve the quality of results, jbovlaste search does not return words with insufficient votes. To qualify to be returned in search results, a proposed lujvo is required to have received a vote in favor in both directions: for instance, in English to Lojban and in Lojban to English.

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1 definition found
From Lojban to English :

        Word: kei'i [jbovlaste]
        Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
  Gloss Word: \ in the sense of "set theoretic operator (mekso, connective): set exclusion"
  Gloss Word: absolute complement in the sense of "set-theoretic operator/connective (cmavo)"
  Gloss Word: C in the sense of "set theoretic operator (mekso, connective): set complement"
  Gloss Word: exclusion in the sense of "set theoretic operator (mekso, connective)"
  Gloss Word: relative complement in the sense of "set-theoretic operator/connective (cmavo)"
  Gloss Word: set complement in the sense of "set theoretic operator (mekso, connective): relative or absolute"
  Gloss Word: set difference in the sense of "set theoretic operator (mekso, connective)"
  Gloss Word: set exclusion in the sense of "set theoretic operator (mekso, connective)"
  Gloss Word: set minus in the sense of "set theoretic operator (mekso, connective)"
  Gloss Word: set subtraction in the sense of "set theoretic operator (mekso, connective)"
     selma'o: KEIhI
  Definition: non-logical connective/mekso operator - of arity only 1 xor 2:
       set (absolute) complement, or set exclusion (relative
       complement). Unary: $X_2 ^C$; binary:
       $X_1\setminusX_2$.
       Notes: Each input must be a set or similar. The definition of the
       binary case expands to "the set of exactly those elements which
       are in X1 but not in X2". This word and operator has ordered
       input: 'X1 kei'i X2' is not generally equivalent to 'X2 kei'i
       X1'; in other words, the operator is not commutative. If unary
       (meaning that X1 is not explicitly specified in a hypothetical
       expression "$X_1\setminusX_2$"), then X1 is taken to be
       some universal set $O$ in/of the discourse (of which all other
       mentioned or relevantly formable sets are subsets, at the
       least); in this latter case, the word operates as the set
       (absolute) complement of the explicitly mentioned set here
       designated as X2 for clarity (id est: the output is
       $O\setminusX_2=X_2^C$, where "$^C$" denotes the set
       absolute complement; in other words, it is the set of all
       elements which may be under consideration such that they are
       not elements of the explicitly specified set). When binary with
       both X1 and X2 explicitly specified, this word/operator is the
       set relative complement. This word is somewhat analogous to,
       depending on its arity, logical 'NOT' or 'AND NOT' (just as set
       intersection is analogous to logical 'AND', set union is
       analogous to logical '(AND/)OR'  and set symmetric difference
       is analogous to 'XOR'). The preferred description/name in
       English is "set (theoretic) exclusion". See also: "kleivmu".
       For reference:
       https://en.wikipedia.org/wiki/Complement_(set_theory) .

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