From type/IO/Path

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method succ(IO::Path:D: --> IO::Path:D)

Returns a new IO::Path constructed from the invocant, with basename changed by calling Str.succ on it.

"foo/file02.txt".IO.succ.say; # OUTPUT: «"foo/file03.txt".IO␤»

From type/Enumeration

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method succ(::?CLASS:D:)

say Oðin.succ;  # OUTPUT: «Freija␤» 

From type/Date

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method succ(Date:D: --> Date:D)

Returns a Date of the following day. "succ" is short for "successor".

say Date.new("2016-02-28").succ;   # OUTPUT: «2016-02-29␤»

From type/Bool

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method succ(--> Bool:D)

Returns True.

say True.succ;                                    # OUTPUT: «True␤» 
say False.succ;                                   # OUTPUT: «True␤»

succ is short for "successor"; it returns the next enum value. Bool is a special enum with only two values, False and True. When sorted, False comes first, so True is its successor. And since True is the "highest" Bool enum value, its own successor is also True.

From type/Numeric

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method succ(Numeric:D:)

Returns the number incremented by one (successor).

From type/Allomorph

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method succ(Allomorph:D:)

Calls Numeric.succ on the invocant's numeric value.

From type/Str

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method succ(Str:D: --> Str:D)

Returns the string incremented by one.

String increment is "magical". It searches for the last alphanumeric sequence that is not preceded by a dot, and increments it.

'12.34'.succ;      # OUTPUT: «13.34» 
'img001.png'.succ; # OUTPUT: «img002.png»

The actual increment step works by mapping the last alphanumeric character to a character range it belongs to, and choosing the next character in that range, carrying to the previous letter on overflow.

'aa'.succ;   # OUTPUT: «ab» 
'az'.succ;   # OUTPUT: «ba» 
'109'.succ;  # OUTPUT: «110» 
'α'.succ;    # OUTPUT: «β» 
'a9'.succ;   # OUTPUT: «b0»

String increment is Unicode-aware, and generally works for scripts where a character can be uniquely classified as belonging to one range of characters.