Mapping characteristics to blocks
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Non-Typing Predicates
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CharacteristicExampleBlocks
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Strictly_greater_predicate_thanExpression > Expressionx > yx < yx = y
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Predicate_greater_than_or_equal Expression >= Expressionx >= yx < y
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Strictly_less_than_predicateExpression < Expressionx < yx > yx = y
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Less_than_or_equal_predicateExpression <= Expressionx <= yx > y
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Equals_predicateExpression = Expressionx = yx /= y
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Predicate_unequalExpression /= Expressionx /= yx = y
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Negation_predicatenot(Predicate)not(x > y)x > y
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Implication_predicatePredicate => PredicateP1 => P2not(P1 => P2)
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Equivalence_predicatePredicate <=> PredicateP1 <=> P2not(P1 <=> P2)
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Predicate_universel! list_ident . (Predicate => Predicate)!v1,v2 . (P1 => P2)not(!v1,v2 . (P1 => P2))
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Existential_predicate# list_ident . (Predicate)#v1,v2 . (P)#v1,v2 . (not(P))
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Belongs_predicateExpression : Expressionexp1 : exp2exp1 /: exp2
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Non_belongs_predicateExpression /: Expressionexp1 /: exp2exp1 : exp2
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Predicate_includesExpression <: Expressionexp1 <: exp2exp1 /<: exp2
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Non_inclusion_predicateExpression /<: Expressionexp1 /<: exp2exp1 <: exp2
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Predicate_includes_strictlyExpression <<: Expressionexp1 <<: exp2exp1 /<<: exp2
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Non_inclusion_predicate_strictExpression /<<: Expressionexp1 /<<: exp2exp1 <<: exp2
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Typing Predicates
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CharacteristicExampleBlocks
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Is a natural numberid : NATx : NATx /: NAT
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Is a natural number different than zeroid : NAT1x : NAT1x /: NAT1
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Is an integerid : INTx : INT
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Is a booleanid : BOOLx : BOOL
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Is a number in the rageid : Expression..Expressionx : Exp1..Exp2x : MININT..Exp1-1x : Exp2+1..MAXINT
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Is a member of abstract setid : IDx : SET
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Is a member ofid : idx : yx /: y
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Is a total functionid : Simple_set --> Simple_setx : SET --> SET
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Is a partial functionid : Simple_set +-> Simple_setx : SET +-> SET
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Is an injective functionid : Simple_set >+> Simple_setx : SET >+> SET
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Is a total surjective functionid : Simple_set -->> Simple_setx : SET -->> SET
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Is a partial surjective functionid : Simple_set +->> Simple_setx : SET +->> SET
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Is a bijective functionid : Simple_set >->> Simple_setx : SET >->> SET
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Is a member of the enumerated setid : { Simple_term+ }x : { term1, term2, ..., termn }x /: { term1, term2, ..., termn }
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Is a stringid : STRINGx : STRING
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Is a subset of an abstract setid <: IDid <: ID
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Is a subset of the set of booleansid <: BOOLid <: BOOL
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Is a subset of the set of natural numbersid <: NATid <: NATid /<: NAT
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Is a subset of the set of natural numbers different than zeroid <: NAT1id <: NAT1id /<: NAT1
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Is a subset of the integer setid <: INTid <: INT
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Is a subset of a rangeid <: Expression..Expressionid <: Expression..Expressionid /<: Expression..Expression
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Is a subset of id <: idid <: idid /<: id
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Is a subset strict of an abstract setid <<: IDid <<: IDid /<<: ID
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Is a subset strict of the set of booleansid <<: BOOLid <<: BOOL
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Is a subset strict of the set of natural numbersid <<: NATid <<: NATid /<<: NAT
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Is a subset strict of the set of natural numbers different than zero
id <<: NAT1id <<: NAT1id /<<: NAT1
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Is a subset strict of the integer setid <<: INTid <<: INT
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Is a subset strict of a rangeid <<: Expression..Expressionid <<: Expression..Expressionid /<<: Expression..Expression
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Is a subset strict of id <<: idid <<: idid /<<: id
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Is equal to abstract setid = IDid = IDid /= ID
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Is equal to a termid = Termid = Termid /= Term
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Is equal to array
id = {X |-> A, Y|->B, ..., Z|-> C} or id = SET * {Term}
id = {X |-> A, Y|->B, ..., Z|-> C} or id = SET * {Term}
id /= {X |-> A, Y|->B, ..., Z|-> C} or id /= SET * {Term}
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Is equal to rangeid = Expression..Expressionid = Expression..Expressionid /= Expression..Expression
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Is equal to the set of natural numbersid = NATid = NATid /= NAT
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Is equal to the set of natural numbers different than zeroid = NAT1id = NAT1id /= NAT1
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Is equal to the set of integersid = INTid = INTid /= INT
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Special Cases
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CASE SWITCH
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