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pt::json_language(n) Parser Tools pt::json_language(n)
____________________________________________________________________________________________________________
NAME
pt::json_language - The JSON Grammar Exchange Format
SYNOPSIS
package require Tcl 8.5
____________________________________________________________________________________________________________
DESCRIPTION
Are you lost ? Do you have trouble understanding this document ? In that case please read the over-view overview
view provided by the Introduction to Parser Tools. This document is the entrypoint to the whole sys-tem system
tem the current package is a part of.
The json format for parsing expression grammars was written as a data exchange format not bound to
Tcl. It was defined to allow the exchange of grammars with PackRat/PEG based parser generators for
other languages.
It is formally specified by the rules below:
[1] The JSON of any PEG is a JSON object.
[2] This object holds a single key, pt::grammar::peg, and its value. This value holds the contents
of the grammar.
[3] The contents of the grammar are a JSON object holding the set of nonterminal symbols and the
starting expression. The relevant keys and their values are
rules The value is a JSON object whose keys are the names of the nonterminal symbols known to
the grammar.
[1] Each nonterminal symbol may occur only once.
[2] The empty string is not a legal nonterminal symbol.
[3] The value for each symbol is a JSON object itself. The relevant keys and their
values in this dictionary are
is The value is a JSON string holding the Tcl serialization of the parsing
expression describing the symbols sentennial structure, as specified in
the section PE serialization format.
mode The value is a JSON holding holding one of three values specifying how a
parser should handle the semantic value produced by the symbol.
value The semantic value of the nonterminal symbol is an abstract syntax
tree consisting of a single node node for the nonterminal itself,
which has the ASTs of the symbol's right hand side as its chil-dren. children.
dren.
leaf The semantic value of the nonterminal symbol is an abstract syntax
tree consisting of a single node node for the nonterminal, without
any children. Any ASTs generated by the symbol's right hand side
are discarded.
void The nonterminal has no semantic value. Any ASTs generated by the
symbol's right hand side are discarded (as well).
start The value is a JSON string holding the Tcl serialization of the start parsing expres-sion expression
sion of the grammar, as specified in the section PE serialization format.
[4] The terminal symbols of the grammar are specified implicitly as the set of all terminal sym-bols symbols
bols used in the start expression and on the RHS of the grammar rules.
As an aside to the advanced reader, this is pretty much the same as the Tcl serialization of PE gram-mars, grammars,
mars, as specified in section PEG serialization format, except that the Tcl dictionaries and lists of
that format are mapped to JSON objects and arrays. Only the parsing expressions themselves are not
translated further, but kept as JSON strings containing a nested Tcl list, and there is no concept of
canonicity for the JSON either.
EXAMPLE
Assuming the following PEG for simple mathematical expressions
PEG calculator (Expression)
Digit <- '0'/'1'/'2'/'3'/'4'/'5'/'6'/'7'/'8'/'9' ;
Sign <- '-' / '+' ;
Number <- Sign? Digit+ ;
Expression <- '(' Expression ')' / (Factor (MulOp Factor)*) ;
MulOp <- '*' / '/' ;
Factor <- Term (AddOp Term)* ;
AddOp <- '+'/'-' ;
Term <- Number ;
END;
a JSON serialization for it is
{
"pt::grammar::peg" : {
"rules" : {
"AddOp" : {
"is" : "\/ {t -} {t +}",
"mode" : "value"
},
"Digit" : {
"is" : "\/ {t 0} {t 1} {t 2} {t 3} {t 4} {t 5} {t 6} {t 7} {t 8} {t 9}",
"mode" : "value"
},
"Expression" : {
"is" : "\/ {x {t (} {n Expression} {t )}} {x {n Factor} {* {x {n MulOp} {n Factor}}}}",
"mode" : "value"
},
"Factor" : {
"is" : "x {n Term} {* {x {n AddOp} {n Term}}}",
"mode" : "value"
},
"MulOp" : {
"is" : "\/ {t *} {t \/}",
"mode" : "value"
},
"Number" : {
"is" : "x {? {n Sign}} {+ {n Digit}}",
"mode" : "value"
},
"Sign" : {
"is" : "\/ {t -} {t +}",
"mode" : "value"
},
"Term" : {
"is" : "n Number",
"mode" : "value"
}
},
"start" : "n Expression"
}
}
and a Tcl serialization of the same is
pt::grammar::peg {
rules {
AddOp {is {/ {t -} {t +}} mode value}
Digit {is {/ {t 0} {t 1} {t 2} {t 3} {t 4} {t 5} {t 6} {t 7} {t 8} {t 9}} mode value}
Expression {is {/ {x {t (} {n Expression} {t )}} {x {n Factor} {* {x {n MulOp} {n Factor}}}}} mode value}
Factor {is {x {n Term} {* {x {n AddOp} {n Term}}}} mode value}
MulOp {is {/ {t *} {t /}} mode value}
Number {is {x {? {n Sign}} {+ {n Digit}}} mode value}
Sign {is {/ {t -} {t +}} mode value}
Term {is {n Number} mode value}
}
start {n Expression}
}
The similarity of the latter to the JSON should be quite obvious.
PEG SERIALIZATION FORMAT
Here we specify the format used by the Parser Tools to serialize Parsing Expression Grammars as
immutable values for transport, comparison, etc.
We distinguish between regular and canonical serializations. While a PEG may have more than one reg-
ular serialization only exactly one of them will be canonical.
regular serialization
[1] The serialization of any PEG is a nested Tcl dictionary.
[2] This dictionary holds a single key, pt::grammar::peg, and its value. This value holds
the contents of the grammar.
[3] The contents of the grammar are a Tcl dictionary holding the set of nonterminal symbols
and the starting expression. The relevant keys and their values are
rules The value is a Tcl dictionary whose keys are the names of the nonterminal sym-bols symbols
bols known to the grammar.
[1] Each nonterminal symbol may occur only once.
[2] The empty string is not a legal nonterminal symbol.
[3] The value for each symbol is a Tcl dictionary itself. The relevant keys
and their values in this dictionary are
is The value is the serialization of the parsing expression describ-ing describing
ing the symbols sentennial structure, as specified in the section
PE serialization format.
mode The value can be one of three values specifying how a parser
should handle the semantic value produced by the symbol.
value The semantic value of the nonterminal symbol is an abstract
syntax tree consisting of a single node node for the non-terminal nonterminal
terminal itself, which has the ASTs of the symbol's right
hand side as its children.
leaf The semantic value of the nonterminal symbol is an abstract
syntax tree consisting of a single node node for the non-terminal, nonterminal,
terminal, without any children. Any ASTs generated by the
symbol's right hand side are discarded.
void The nonterminal has no semantic value. Any ASTs generated
by the symbol's right hand side are discarded (as well).
start The value is the serialization of the start parsing expression of the grammar,
as specified in the section PE serialization format.
[4] The terminal symbols of the grammar are specified implicitly as the set of all terminal
symbols used in the start expression and on the RHS of the grammar rules.
canonical serialization
The canonical serialization of a grammar has the format as specified in the previous item, and
then additionally satisfies the constraints below, which make it unique among all the possible
serializations of this grammar.
[1] The keys found in all the nested Tcl dictionaries are sorted in ascending dictionary
order, as generated by Tcl's builtin command lsort -increasing -dict.
[2] The string representation of the value is the canonical representation of a Tcl dictio-nary. dictionary.
nary. I.e. it does not contain superfluous whitespace.
EXAMPLE
Assuming the following PEG for simple mathematical expressions
PEG calculator (Expression)
Digit <- '0'/'1'/'2'/'3'/'4'/'5'/'6'/'7'/'8'/'9' ;
Sign <- '-' / '+' ;
Number <- Sign? Digit+ ;
Expression <- '(' Expression ')' / (Factor (MulOp Factor)*) ;
MulOp <- '*' / '/' ;
Factor <- Term (AddOp Term)* ;
AddOp <- '+'/'-' ;
Term <- Number ;
END;
then its canonical serialization (except for whitespace) is
pt::grammar::peg {
rules {
AddOp {is {/ {t -} {t +}} mode value}
Digit {is {/ {t 0} {t 1} {t 2} {t 3} {t 4} {t 5} {t 6} {t 7} {t 8} {t 9}} mode value}
Expression {is {/ {x {t (} {n Expression} {t )}} {x {n Factor} {* {x {n MulOp} {n Factor}}}}} mode value}
Factor {is {x {n Term} {* {x {n AddOp} {n Term}}}} mode value}
MulOp {is {/ {t *} {t /}} mode value}
Number {is {x {? {n Sign}} {+ {n Digit}}} mode value}
Sign {is {/ {t -} {t +}} mode value}
Term {is {n Number} mode value}
}
start {n Expression}
}
PE SERIALIZATION FORMAT
Here we specify the format used by the Parser Tools to serialize Parsing Expressions as immutable
values for transport, comparison, etc.
We distinguish between regular and canonical serializations. While a parsing expression may have
more than one regular serialization only exactly one of them will be canonical.
Regular serialization
Atomic Parsing Expressions
[1] The string epsilon is an atomic parsing expression. It matches the empty string.
[2] The string dot is an atomic parsing expression. It matches any character.
[3] The string alnum is an atomic parsing expression. It matches any Unicode alpha-
bet or digit character. This is a custom extension of PEs based on Tcl's builtin
command string is.
[4] The string alpha is an atomic parsing expression. It matches any Unicode alpha-bet alphabet
bet character. This is a custom extension of PEs based on Tcl's builtin command
string is.
[5] The string ascii is an atomic parsing expression. It matches any Unicode charac-ter character
ter below U0080. This is a custom extension of PEs based on Tcl's builtin com-mand command
mand string is.
[6] The string control is an atomic parsing expression. It matches any Unicode con-trol control
trol character. This is a custom extension of PEs based on Tcl's builtin command
string is.
[7] The string digit is an atomic parsing expression. It matches any Unicode digit
character. Note that this includes characters outside of the [0..9] range. This
is a custom extension of PEs based on Tcl's builtin command string is.
[8] The string graph is an atomic parsing expression. It matches any Unicode print-ing printing
ing character, except for space. This is a custom extension of PEs based on
Tcl's builtin command string is.
[9] The string lower is an atomic parsing expression. It matches any Unicode lower-case lowercase
case alphabet character. This is a custom extension of PEs based on Tcl's
builtin command string is.
[10] The string print is an atomic parsing expression. It matches any Unicode print-ing printing
ing character, including space. This is a custom extension of PEs based on Tcl's
builtin command string is.
[11] The string punct is an atomic parsing expression. It matches any Unicode punctu-ation punctuation
ation character. This is a custom extension of PEs based on Tcl's builtin com-mand command
mand string is.
[12] The string space is an atomic parsing expression. It matches any Unicode space
character. This is a custom extension of PEs based on Tcl's builtin command
string is.
[13] The string upper is an atomic parsing expression. It matches any Unicode upper-case uppercase
case alphabet character. This is a custom extension of PEs based on Tcl's
builtin command string is.
[14] The string wordchar is an atomic parsing expression. It matches any Unicode word
character. This is any alphanumeric character (see alnum), and any connector
punctuation characters (e.g. underscore). This is a custom extension of PEs
based on Tcl's builtin command string is.
[15] The string xdigit is an atomic parsing expression. It matches any hexadecimal
digit character. This is a custom extension of PEs based on Tcl's builtin com-mand command
mand string is.
[16] The string ddigit is an atomic parsing expression. It matches any decimal digit
character. This is a custom extension of PEs based on Tcl's builtin command reg-exp. regexp.
exp.
[17] The expression [list t x] is an atomic parsing expression. It matches the termi-nal terminal
nal string x.
[18] The expression [list n A] is an atomic parsing expression. It matches the non-terminal nonterminal
terminal A.
Combined Parsing Expressions
[1] For parsing expressions e1, e2, ... the result of [list / e1 e2 ... ] is a pars-ing parsing
ing expression as well. This is the ordered choice, aka prioritized choice.
[2] For parsing expressions e1, e2, ... the result of [list x e1 e2 ... ] is a pars-ing parsing
ing expression as well. This is the sequence.
[3] For a parsing expression e the result of [list * e] is a parsing expression as
well. This is the kleene closure, describing zero or more repetitions.
[4] For a parsing expression e the result of [list + e] is a parsing expression as
well. This is the positive kleene closure, describing one or more repetitions.
[5] For a parsing expression e the result of [list & e] is a parsing expression as
well. This is the and lookahead predicate.
[6] For a parsing expression e the result of [list ! e] is a parsing expression as
well. This is the not lookahead predicate.
[7] For a parsing expression e the result of [list ? e] is a parsing expression as
well. This is the optional input.
Canonical serialization
The canonical serialization of a parsing expression has the format as specified in the previ-ous previous
ous item, and then additionally satisfies the constraints below, which make it unique among
all the possible serializations of this parsing expression.
[1] The string representation of the value is the canonical representation of a pure Tcl
list. I.e. it does not contain superfluous whitespace.
[2] Terminals are not encoded as ranges (where start and end of the range are identical).
EXAMPLE
Assuming the parsing expression shown on the right-hand side of the rule
Expression <- '(' Expression ')'
/ Factor (MulOp Factor)*
then its canonical serialization (except for whitespace) is
{/ {x {t (} {n Expression} {t )}} {x {n Factor} {* {x {n MulOp} {n Factor}}}}}
BUGS, IDEAS, FEEDBACK
This document, and the package it describes, will undoubtedly contain bugs and other problems.
Please report such in the category pt of the Tcllib SF Trackers [http://source -
forge.net/tracker/? group_id=12883]. Please also report any ideas for enhancements you may have for
either package and/or documentation.
KEYWORDS
EBNF, LL(k), PEG, TDPL, context-free languages, expression, grammar, matching, parser, parsing
expression, parsing expression grammar, push down automaton, recursive descent, state, top-down pars-ing parsing
ing languages, transducer
CATEGORY
Parsing and Grammars
COPYRIGHT
Copyright (c) 2009 Andreas Kupries <andreas_kupries@users.sourceforge.net>
pt 1 pt::json_language(n)
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