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SPKI S-Expressions
draft-rivest-sexp-07

Document Type Active Internet-Draft (individual)
Authors Ronald L. Rivest , Donald E. Eastlake 3rd
Last updated 2024-04-24
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Intended RFC status Informational
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draft-rivest-sexp-07
Network Working Group                                          R. Rivest
Internet-Draft                                                 MIT CSAIL
Intended status: Informational                               D. Eastlake
Expires: 26 October 2024                                     Independent
                                                           24 April 2024

                           SPKI S-Expressions
                          draft-rivest-sexp-07

Abstract

   This memo specifies a data structure representation that is suitable
   for representing arbitrary, complex data structures.  It was devised
   in 1996/1997 to support SPKI (RFC 2692) certificates with the intent
   that it be more widely applicable and has been used elsewhere.  There
   are many implementations in a variety of programming languages.  Uses
   of this representation herein are referred to as "S-expressions".
   This memo makes precise the encodings of these S-expressions: it
   gives a "canonical form" for them, describes two "transport"
   representations, and also describe an "advanced" format for display
   to people.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF).  Note that other groups may also distribute
   working documents as Internet-Drafts.  The list of current Internet-
   Drafts is at https://datatracker.ietf.org/drafts/current/.

   Internet-Drafts are draft documents valid for a maximum of six months
   and may be updated, replaced, or obsoleted by other documents at any
   time.  It is inappropriate to use Internet-Drafts as reference
   material or to cite them other than as "work in progress."

   This Internet-Draft will expire on 26 October 2024.

Copyright Notice

   Copyright (c) 2024 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents (https://trustee.ietf.org/
   license-info) in effect on the date of publication of this document.

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   Please review these documents carefully, as they describe your rights
   and restrictions with respect to this document.  Code Components
   extracted from this document must include Revised BSD License text as
   described in Section 4.e of the Trust Legal Provisions and are
   provided without warranty as described in the Revised BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Uses of S-Expressions . . . . . . . . . . . . . . . . . .   4
     1.2.  Historical Note . . . . . . . . . . . . . . . . . . . . .   4
     1.3.  Conventions Used in This Document . . . . . . . . . . . .   5
   2.  S-expressions -- informal introduction  . . . . . . . . . . .   5
   3.  Character set . . . . . . . . . . . . . . . . . . . . . . . .   6
   4.  Octet-string representation types . . . . . . . . . . . . . .   7
     4.1.  Verbatim representation . . . . . . . . . . . . . . . . .   7
     4.2.  Quoted-string representation  . . . . . . . . . . . . . .   8
     4.3.  Token representation  . . . . . . . . . . . . . . . . . .   9
     4.4.  Hexadecimal representation  . . . . . . . . . . . . . . .  10
     4.5.  Base-64 representation of octet-strings . . . . . . . . .  10
     4.6.  Display-hint  . . . . . . . . . . . . . . . . . . . . . .  11
     4.7.  Equality of octet-strings . . . . . . . . . . . . . . . .  12
   5.  Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . .  12
   6.  S-expression representation types . . . . . . . . . . . . . .  13
     6.1.  Base-64 representation of S-expressions . . . . . . . . .  13
     6.2.  Canonical representation  . . . . . . . . . . . . . . . .  14
     6.3.  Basic transport representation  . . . . . . . . . . . . .  14
     6.4.  Advanced transport representation . . . . . . . . . . . .  15
   7.  ABNF for syntax . . . . . . . . . . . . . . . . . . . . . . .  15
     7.1.  ABNF for advanced transport . . . . . . . . . . . . . . .  15
     7.2.  ABNF for canonical  . . . . . . . . . . . . . . . . . . .  17
     7.3.  ABNF for basic transport  . . . . . . . . . . . . . . . .  17
   8.  Restricted S-expressions  . . . . . . . . . . . . . . . . . .  17
   9.  In-memory representations . . . . . . . . . . . . . . . . . .  17
     9.1.  List-structure memory representation  . . . . . . . . . .  18
     9.2.  Array-layout memory representation  . . . . . . . . . . .  18
       9.2.1.  Octet-string  . . . . . . . . . . . . . . . . . . . .  18
       9.2.2.  Octet-string with display-hint  . . . . . . . . . . .  19
       9.2.3.  List  . . . . . . . . . . . . . . . . . . . . . . . .  19
   10. Security Considerations . . . . . . . . . . . . . . . . . . .  19
   11. IANA Considerations . . . . . . . . . . . . . . . . . . . . .  20
   12. Normative References  . . . . . . . . . . . . . . . . . . . .  20
   13. Informative References  . . . . . . . . . . . . . . . . . . .  20
   Appendix A.  Implementations  . . . . . . . . . . . . . . . . . .  22
   Appendix B.  Change History . . . . . . . . . . . . . . . . . . .  23
     B.1.  -00 Changes . . . . . . . . . . . . . . . . . . . . . . .  23
     B.2.  Changes from -00 to -01 . . . . . . . . . . . . . . . . .  23
     B.3.  Changes from -01 to -02 . . . . . . . . . . . . . . . . .  24

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     B.4.  Changes from -02 to -03 . . . . . . . . . . . . . . . . .  24
     B.5.  Changes from -03 to -04 . . . . . . . . . . . . . . . . .  24
     B.6.  Changes from -04 to -05 . . . . . . . . . . . . . . . . .  24
     B.7.  Changes from -05 to -06 . . . . . . . . . . . . . . . . .  25
     B.8.  Changes from -06 to -07 . . . . . . . . . . . . . . . . .  25
   Acknowledgements  . . . . . . . . . . . . . . . . . . . . . . . .  26
   Contributors  . . . . . . . . . . . . . . . . . . . . . . . . . .  26
   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .  26

1.  Introduction

   This memo specifies a data structure representation that is suitable
   for representing arbitrary, complex data structures.  It was devised
   in 1996/1997 to support SPKI [RFC2692] certificates with the intent
   that it be more widely applicable (see Section 1.2, History) and has
   been used elsewhere.  Uses of this representation herein are referred
   to as "S-expressions".

   This memo makes precise the encodings of these S-expressions: it
   gives a "canonical form" for them, describes two "transport"
   representations, and also describe an "advanced" format for display
   to people.  There are many implementations of S-expression in a
   variety of programming languages including Python, Ruby, and C (see
   Appendix A).

   These S-expressions are either byte-strings ("octet-strings") or
   lists of simpler S-expressions.  Here is a sample S-expression:

       (snicker "abc" (#03# |YWJj|))

   It is a list of length three containing the following:

   *  the octet-string "snicker"

   *  the octet-string "abc"

   *  a sub-list containing two elements: the hexadecimal constant #03#
      (i.e., 0x03) and the base-64 constant |YWJj| (which is the same as
      "abc")

   This document specifies how to construct and use these S-expressions.
   They are independent of any particular application.

   The design goals for S-expressions were as follows:

   generality:  S-expressions should be good at representing arbitrary
      data.

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   readability:  It should be easy for someone to examine and understand
      the structure of an S-expression.

   economy:  S-expressions should represent data compactly.

   tranportability:  S-expressions should be easy to transport over
      communication media (such as email) that are known to be less than
      perfect.

   flexibility:  S-expressions should make it relatively simple to
      modify and extend data structures.

   canonicalization:  It should be easy to produce a unique "canonical"
      form of an S-expression, for digital signature purposes.

   efficiency:  S-expressions should admit in-memory representations
      that allow efficient processing.

   Implementors of new applications / protocols may wish to consider
   potential alternative representations such as [XML], CBOR [RFC8949],
   or JSON [RFC7159].

1.1.  Uses of S-Expressions

   The S-expressions specified herein are in active use today between
   GnuPG [GnuPG] and Ribose's RNP [Ribose].  Ribose has implemented C++
   software to compose and parse these S-expressions [RNPGP_SEXPP].  The
   GNU software is here [Libgcrypt] and there are other implementations
   (see Appendix A).

   They are used/referenced in the following RFCs:

   *  [RFC2693] for [SPKI]

   *  [RFC3275] XML-Signature Syntax and Processing

   In addition, S-Expressions are the inspiration for the encodings in
   other protocols.  For example, [RFC3259] or Section 6 of
   [CDDLfreezer].

1.2.  Historical Note

   The S-expression technology described here was originally developed
   for "SDSI" (the Simple Distributed Security Infrastructure by Lampson
   and Rivest [SDSI]) in 1996, although the origins clearly date back to
   McCarthy's [LISP] programming language.  It was further refined and
   improved during the merger of SDSI and SPKI [SPKI] [RFC2692]
   [RFC2693] during the first half of 1997.  S-expressions are more

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   readable and flexible than, Bernstein's "net-strings" [BERN], which
   were developed contemporaneously.

      |  Although made publicly available as a file named draft-rivest-
      |  sexp-00.txt on 4 May 1997, that file was never actually
      |  submitted to the IETF.  This document is a modernized and more
      |  polished version of that document.

1.3.  Conventions Used in This Document

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in BCP
   14 [RFC2119] [RFC8174] when, and only when, they appear in all
   capitals, as shown here.

2.  S-expressions -- informal introduction

   Informally, an S-expression is either:

   *  an octet-string, or
   *  a finite list of simpler S-expressions.

   An octet-string is a finite sequence of eight-bit octets.  There may
   be many different but equivalent ways of representing an octet-string

       abc         -- as a token
       "abc"       -- as a quoted string
       #616263#    -- as a hexadecimal string
       3:abc       -- as a length-prefixed "verbatim" encoding
       |YWJj|      -- as a base-64 encoding of the octet-string
                        "abc"
       {MzphYmM=}  -- as a base-64 encoding of the verbatim
                        encoding (that is, an encoding of "3:abc")

   The above encodings are all equivalent in that they all denote the
   same octet-string.

   Details of these encodings are given below, and how to give a
   "display type" to a simple-string is also described.

   A list is a finite sequence of zero or more simpler S-expressions.  A
   list is represented by using parentheses to surround the sequence of
   encodings of its elements, as in:

       (abc (de #6667#) "ghi jkl")

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   As can be seen, there is variability possible in the encoding of an
   S-expression.  In some applications, it is desirable to standardize
   or restrict the encodings; in other cases, it is desirable to have no
   restrictions.  The following are the target cases these s-expressions
   aim to handle:

   *  a "transport" or "basic" encoding for transporting the
      S-expression between computers.

   *  a "canonical" encoding, used when signing the S-expression.

   *  an "advanced" encoding used for input/output to people.

   *  an "in-memory" encoding used for processing the S-expression in
      the computer.

   In this document, related encoding techniques for each of these uses
   are provided.

3.  Character set

   This document describes encodings of S-expressions.  Except when
   giving "verbatim" encodings, the character set used is limited to the
   following characters in ASCII [RFC0020]:

   Alphabetic:
          A B ... Z a b ... z
   Numeric:
          0 1 ... 9
   Whitespace:
          space, horizontal tab, vertical tab, form-feed
          carriage-return, line-feed
   The following graphics characters, which are called "pseudo-
   alphabetic" in this document:
          - hyphen or minus
          . period
          / slash
          _ underscore
          : colon
          * asterisk
          + plus
          = equal
   The following graphics characters, which are "reserved
   punctuation":
          ( left parenthesis
          ) right parenthesis
          [ left bracket
          ] right bracket

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          { left brace
          } right brace
          | vertical bar
          # number sign
          " double quote
          & ampersand
          \ backslash
   The following characters are unused and unavailable, except in
   "verbatim" and "quoted string" encodings:
          ! exclamation point
          % percent
          ^ circumflex
          ~ tilde
          ; semicolon
          ' apostrophe
          , comma
          < less than
          > greater than
          ? question mark

4.  Octet-string representation types

   This section describes in detail the ways in which an octet-string
   may be represented.

   Recall that an octet-string is any finite sequence of octets, and
   that the octet-string may have length zero.

4.1.  Verbatim representation

   A verbatim encoding of an octet-string consists of three parts:

   *  the length (number of octets) of the octet-string, given in
      decimal, most significant digit first, with no leading zeros.

   *  a colon ":"

   *  the octet-string itself, verbatim.

   There are no blanks or whitespace separating the parts.  No "escape
   sequences" are interpreted in the octet-string.  This encoding is
   also called a "binary" or "raw" encoding.

   Here are some sample verbatim encodings:

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       3:abc
       7:subject
       4:::::
       12:hello world!
       10:abcdefghij
       0:

4.2.  Quoted-string representation

   The quoted-string representation of an octet-string consists of:

   *  an optional decimal length field

   *  an initial double-quote (")

   *  the octet-string with "C" [C] escape conventions (\n, etc.)

   *  a final double-quote (")

   The specified length is the length of the resulting string after any
   backslash escape sequences have been converted to the octet value
   they denote.  The string does not have any "terminating NULL" that
   [C] includes, and the length does not count such a character.

   The length is optional.

   The escape conventions within the quoted string are as follows (these
   follow the "C" [C] programming language conventions, with an
   extension for ignoring line terminators of just LF, CRLF, or LFCR and
   more restrictive octal and hexadecimal value formats):

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       \a     -- audible alert (bell)
       \b     -- backspace
       \t     -- horizontal tab
       \v     -- vertical tab
       \n     -- new-line
       \f     -- form-feed
       \r     -- carriage-return
       \"     -- double-quote
       \'     -- single-quote
       \?     -- question mark
       \\     -- back-slash
       \ooo   -- character with octal value ooo (all three
                 digits MUST be present)
       \xhh   -- character with hexadecimal value hh (both
                 digits MUST be present)
       \<carriage-return>   -- causes carriage-return
                 to be ignored.
       \<line-feed>         -- causes linefeed to be
                 ignored.
       \<carriage-return><line-feed>   -- causes
                 CRLF to be ignored.
       \<line-feed><carriage-return>   -- causes
                 LFCR to be ignored.

   Here are some examples of quoted-string encodings:

       "subject"
       "hi there"
       7"subject"
       "\xFE is the same octet as \376"
       3"\n\n\n"
       "This has\n two lines."
       "This has \
        one."
       ""

4.3.  Token representation

   An octet-string that meets the following conditions may be given
   directly as a "token":

   *  it does not begin with a digit;

   *  it contains only characters that are: alphabetic (upper or lower
      case), numeric, or one of the following eight "pseudo-alphabetic"
      punctuation marks:  -  .  /  _  :  *  +  =

   *  it is length 1 or greater.

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   Note: Upper and lower case are not equivalent.  A token may begin
   with punctuation, including ":".

   Here are some examples of token representations:

       subject
       not-before
       class-of-1997
       //microsoft.com/names/smith
       *

4.4.  Hexadecimal representation

   An octet-string may be represented with a hexadecimal encoding
   consisting of:

   *  an (optional) decimal length of the octet-string

   *  a sharp-sign "#"

   *  a hexadecimal encoding of the octet-string, with each octet
      represented with two hexadecimal digits, most significant digit
      first.  There MUST be an even number of such digits.

   *  a sharp-sign "#"

   There may be whitespace inserted in the midst of the hexadecimal
   encoding arbitrarily; it is ignored.  It is an error to have
   characters other than whitespace and hexadecimal digits.

   Here are some examples of hexadecimal encodings:

       #616263#    -- represents "abc"
       3#616263#   -- also represents "abc"
       # 616
         263 #     -- also represents "abc"
       ##          -- represents the zero length string

4.5.  Base-64 representation of octet-strings

   An octet-string may be represented in a base-64 encoding [RFC4648]
   consisting of:

   *  an (optional) decimal length of the octet-string

   *  a vertical bar "|"

   *  the base-64 [RFC4648] encoding of the octet string.

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   *  a final vertical bar "|"

   Base-64 encoding produces four characters of output for each three
   octets of input.  If the length of the input divided by three leaves
   a remainder of one or two, it produces an output block of length four
   ending in two or one equals signs, respectively.  These equals signs
   MUST be included on output but input routines MAY accept inputs where
   one or two equals signs are dropped.

   Whitespace inserted in the midst of the base-64 encoding is ignored.
   It is an error to have characters other than whitespace and base-64
   characters.

   Here are some examples of base-64 encodings:

       |YWJj|       -- represents "abc"
       | Y W
         J j |      -- also represents "abc"
       3|YWJj|      -- also represents "abc"
       |YWJjZA==|   -- represents "abcd"
       |YWJjZA|     -- also represents "abcd"
       ||           -- represents the zero length string

   Note the difference between this base-64 encoding of an octet-string
   using verticle bars ("| |") and the base-64 encoding of an
   S-expression using curly braces ("{ }") in Section 6.1.

4.6.  Display-hint

   The purposes of a display-hint is to provide information on how to
   display an octet-string to a user.  It has no other function.  Many
   of the MIME [RFC2046] types work here.

   A display-hint is an octet-string surrounded by square brackets.
   There may be whitespace separating the octet-string from the
   surrounding brackets.  Any of the legal formats may be used for the
   octet-string but a dsaplay-hint may not be applied to a display-hint
   string, that is, display-hints may not be nested recursively.

   Every octet-string is either preceded by a single "display-hint" or
   not so preceded.

   Here are some examples of display-hints:

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       [image/gif]
       [charset=unicode-1-1]
       [text/richtext]
       ["text/plain; charset=iso-8859-1"]
       [application/postscript]
       [application/octet-stream]
       [audio/basic]
       ["http://abc.com/display-types/funky.html"]

   Unless some other value is specified for the application of use, an
   octet-string that has no display-hint may be considered to have a
   pre-specified "default" MIME [RFC2046] type as follows:

       "application/octet-stream"

   When an S-Expression is being encoded in one of the representations
   described in Section 6, any display-hint present is included.  If a
   display-hint is the default, it is not surpressed nor is the default
   display-hint included in the representation for an octet-string
   without a display-hint.

4.7.  Equality of octet-strings

   It is RECOMMENDED that two octet-strings be considered "equal" for
   most computational and algorithmic purposed if and only if they have
   the same display-hint and the same data octet-strings.

   Note that octet-strings are "case-sensitive"; the octet-string "abc"
   is not equal to the octet-string "ABC".

   An untyped octet-string can be compared to another octet-string
   (typed or not) by considering it as a typed octet-string with the
   default type specified for the applications or, in the absence of
   such specificaion, the default type specified in Section 4.6 .

5.  Lists

   Just as with octet-strings, there are variations in representing a
   list.  Whitespace may be used to separate list elements, but they are
   only required to separate two octet-strings when otherwise the two
   octet-strings might be interpreted as one, as when one token follows
   another.  Also, whitespace may follow the initial left parenthesis,
   or precede the final right parenthesis.

   Here are some examples of encodings of lists:

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       (a bob c)

       ( a ( bob c ) ( ( d e ) ( e f ) )  )

       (11:certificate(6:issuer3:bob)(7:subject5:alice))

       ({ODpFeGFtcGxlIQ==} "1997" murphy 3:XC+)

       ()

6.  S-expression representation types

   There are three "types" of representations:

   *  canonical

   *  basic transport

   *  advanced transport

   The first two MUST be supported by any implementation; the last is
   OPTIONAL.  As part of both basic and advanced transport
   representations, the base-64 [RFC4648] representation of an
   S-expression may be used as described in Section 6.1.

6.1.  Base-64 representation of S-expressions

   An S-expression may be represented in a base-64 encoding [RFC4648]
   consisting of:

   *  an opening curly brace "{"

   *  the base-64 [RFC4648] encoding of the S-expression.

   *  a final closing curly brace "}"

   Base-64 encoding produces four characters of output for each three
   octets of input.  If the length of the input divided by three leaves
   a remainder of one or two, it produces an output block of length four
   ending in two or one equals signs, respectively.  These equals signs
   MUST be included on output but input routines MAY accept inputs where
   one or two equals signs are dropped.

   Whitespace inserted in the midst of the base-64 encoding is ignored.
   It is an error to have characters other than whitespace and base-64
   characters.

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   Note the difference between this base-64 encoding of an S-expression
   using curly braces ("{ }") and the base-64 encoding of an octet-
   string using verticle bars ("| |") in Section 4.5.

6.2.  Canonical representation

   This canonical representation is used for digital signature purposes
   and transport over channels not sensitive to specific octet values.
   It is uniquely defined for each S-expression.  It is not particularly
   readable, but that is not the point.  It is intended to be very easy
   to parse, to be reasonably economical, and to be unique for any
   S-expression.  (See [CANON].)

   The "canonical" form of an S-expression represents each octet-string
   in verbatim mode, and represents each list with no blanks separating
   elements from each other or from the surrounding parentheses (see
   also Section 7.2).

   Here are some examples of canonical representations of S-expressions:

       (6:issuer3:bob)
       (4:icon[12:image/bitmap]9:xxxxxxxxx)
       (7:subject(3:ref5:alice6:mother))
       10:foo)]}>bar
       0:

6.3.  Basic transport representation

   There are two forms of the "basic transport" representation:

   *  the canonical representation

   *  an [RFC4648] base-64 representation of the canonical
      representation, surrounded by braces (see Section 6.1).

   The basic transport representations (see Section 7.3) are intended to
   provide a universal means of representing S-expressions for transport
   from one machine to another.  The base-64 encoding would be
   appropriate if the channel over which the S-expression is being sent
   might be sensitive to octets of some special values, such as an octet
   of all zero bits (NULL) or an octet of all one bits (DEL), or the
   channel is sensitive to "line length" such that occasional line
   terminating white space is needed.

   Here are two examples of an S-expression represented in basic
   transport mode:

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     (1:a1:b1:c)

     {KDE6YTE6YjE
        6YykK}

   The second example above is the same S-expression as the first
   encoded in base-64.

6.4.  Advanced transport representation

   The "advanced transport" representation is intended to provide more
   flexible and readable notations for documentation, design, debugging,
   and (in some cases) user interface.

   The advanced transport representation allows all of the octet-string
   representation forms described above in Section 4: quoted strings,
   base-64, hexadecimal, tokens, representations of strings with omitted
   lengths, and so on.  It also allow use of the base-64 representation
   of S-expressions.  (See Section 7.1).

7.  ABNF for syntax

   ABNF is the Augmented Backus-Naur Form for syntax specifications as
   defined in [RFC5234].  The ABNF for advanced representataion of
   S-expressions is given first and the basic and canonical forms
   derived therefrom.  The rule names below in all caps are defined in
   Appendix B.1 of [RFC5234].

7.1.  ABNF for advanced transport

      sexp           =  *whitespace value *whitespace

      whitespace     =  SP / HTAB / vtab / CR / LF / ff

      vtab           =  %x0B   ; vertical tab

      ff             =  %x0C   ; form feed

      value          =  string / ("(" *(value / whitespace) ")")

      string         =  [display] *whitespace simple-string

      display        =  "[" *whitespace display-string *whitespace "]"

      display-string  =  verbatim / quoted-string / token / hexadecimal /
                         base-64

      verbatim       =  decimal ":" *OCTET

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                           ; the length followed by a colon and the exact
                           ; number of OCTETs indicated by the length

      decimal        =  %x30 / (%x31-39 *DIGIT)

      quoted-string  =  [decimal] DQUOTE *(printable / escaped) DQUOTE

      printable      =  %x20-21 / %x23-5B / %x5D-7E
                           ; All US-ASCII printable but double-quote and
                           ; backslash

      escaped        =  backslash (%x3F / %x61 / %x62 / %x66 / %x6E /
                        %x72 / %x74 / %x76 / DQUOTE / quote / backslash /
                        3(%x30-37) / (%x78 2HEXDIG) / CR / LF /
                        (CR LF) / (LF CR))

      backslash      =  %x5C

      quote          =  %x27   ; single quote

      token          =  (ALPHA / simple-punc) *(ALPHA / DIGIT /
                           simple-punc)

      simple-punc    =  "-" / "." / "/" / "_" / ":" / "*" / "+" / "="

      hexadecimal    =  [decimal] "#" *whitespace *hexadecimals "#"

      hexadecimals   =  2(HEXDIG *whitespace)

      base-64        =  [decimal] "|" *whitespace *base-64-chars
                           [base-64-end] "|"

      base-64-chars  =  4(base-64-char *whitespace)

      base-64-char   =  ALPHA / DIGIT / "+" / "/"

      base-64-end    =  base-64-chars /
                        3(base-64-char *whitespace) ["=" *whitespace] /
                        2(base-64-char *whitespace) *2("=" *whitespace)

      simple-string  =  verbatim / quoted-string / token / hexadecimal /
                        base-64 / base-64-raw

      base-64-raw    =  "{" *whitespace *base-64-char base-64-end "}"
                        ; encodes an sexp, which has a minimum
                        ; length of 2

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7.2.  ABNF for canonical

      c-sexp         =  c-string / ("(" *c-sexp ")")

      c-string       =  [ "[" verbatim "]" ] verbatim

7.3.  ABNF for basic transport

      b-sexp         =  c-sexp / b-base-64

      b-base-64      =  "{" *(4base-64-chars) base-64-end "}"
                          ; encodes a c-sexp, which has a minimum
                          ; length of 2

8.  Restricted S-expressions

   This document has described S-expressions in general form.
   Application writers may wish to restrict their use of S-expressions
   in various ways as well as to specify a different default display-
   hint.  Here are some possible restrictions that might be considered:

   *  no advanced representations (only canonical and basic)

   *  no display-hints

   *  no lengths on hexadecimal, quoted-strings, or base-64 encodings

   *  no empty lists

   *  no empty octet-strings

   *  no lists having another list as its first element

   *  no base-64 or hexadecimal encodings

   *  fixed limits on the size of octet-strings

   As provided in Section 6, conformant implementations will support
   canonical and basic representation but support for advanced
   representation is not generally required.  Thus advanced
   representation can only be used in applications which mandate its
   support or where a capability discovery mechanism indicates support.

9.  In-memory representations

   For processing, the S-expression would typically be parsed and
   represented in memory in a way that is more amenable to efficient
   processing.  This document suggests two alternatives:

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   *  "list-structure"

   *  "array-layout"

   These are only sketched here, as they are only suggestive.  The
   [SexpCode] code illustrates these styles in more detail.

9.1.  List-structure memory representation

   Here there are separate records for simple-strings, strings, and
   lists or list nodes.  An S-expression of the form ("abc" "de") could
   be encoded as two records for the simple-strings, two for the
   strings, and two for the list elements, where a record is a
   relatively small block of memory and, except for simple-string, might
   have pointers in it to other records.  This is a fairly conventional
   representation as discussed in Section 4 of [LISP2].

9.2.  Array-layout memory representation

   Here each S-expression is represented as a contiguous array of
   octets.  The first octet codes the "type" of the S-expression:

       01   octet-string

       02   octet-string with display-hint

       03   beginning of list (and 00 is used for "end of list")

   Each of the three types is immediately followed by a k-octet integer
   indicating the size (in octets) of the following representation.
   Here k is an integer that depends on the implementation, it might be
   anywhere from 2 to 8, but would be fixed for a given implementation;
   it determines the size of the objects that can be handled.  The
   transport and canonical representations are independent of the choice
   of k made by the implementation.

   Although the lengths of lists are not given in the usual S-expression
   notations, it is easy to fill them in when parsing; when you reach a
   right-parenthesis you know how long the list representation was, and
   where to go back to fill in the missing length.

9.2.1.  Octet-string

   This is represented as follows:

       01 <length> <octet-string>

   For example (here k = 2)

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       01 0003 a b c

9.2.2.  Octet-string with display-hint

   This is represented as follows:

       02 <length>
         01 <length> <octet-string>    /* for display-type */
         01 <length> <octet-string>    /* for octet-string */

   For example, the S-expression

       [gif] #61626364#

   would be represented as (with k = 2)

       02 000d
         01 0003  g  i  f
         01 0004 61 62 63 64

9.2.3.  List

   This is represented as

       03 <length> <item1> <item2> <item3> ... <itemn> 00

   For example, the list (abc [d]ef (g)) is represented in memory as
   (with k = 2)

       03 001b
         01 0003 a b c
         02 0009
           01 0001 d
           01 0002 e f
         03 0005
           01 0001 g
         00
       00

10.  Security Considerations

   As a pure data representation format, there are few security
   considerations to S-expressions.  A canonical form is required for
   the reliable verification of digital signatures.  This is provided in
   Section 6.2.

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   For convenience, the default display-hint (see Section 4.6) can be
   specified for an application.  Note that if S-expressions containing
   uptyped octet-strings represented for that application are processed
   by a different application, those untyped octet-string may be treated
   as if they had a different display-hint.

11.  IANA Considerations

   This document requires no IANA actions.

12.  Normative References

   [C]        Kernighan, B. and D. Ritchie, "The C Programming
              Language", ISBN 0-13-110370-9, 1988.

   [RFC0020]  Cerf, V., "ASCII format for network interchange", STD 80,
              RFC 20, DOI 10.17487/RFC0020, October 1969,
              <https://www.rfc-editor.org/info/rfc20>.

   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <https://www.rfc-editor.org/info/rfc2119>.

   [RFC4648]  Josefsson, S., "The Base16, Base32, and Base64 Data
              Encodings", RFC 4648, DOI 10.17487/RFC4648, October 2006,
              <https://www.rfc-editor.org/info/rfc4648>.

   [RFC5234]  Crocker, D., Ed. and P. Overell, "Augmented BNF for Syntax
              Specifications: ABNF", STD 68, RFC 5234,
              DOI 10.17487/RFC5234, January 2008,
              <https://www.rfc-editor.org/info/rfc5234>.

   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/info/rfc8174>.

13.  Informative References

   [BERN]     Bernstein, D., "Netstrings", Work in progress, 1 February
              1997, <https://www.ietf.org/archive/id/draft-bernstein-
              netstrings-02.txt>.

   [CANON]    Wikipedia, "Canonical S-expressions",
              <https://en.wikipedia.org/wiki/Canonical_S-expressions>.

              Grinberg, R., "Csexp - Canonical S-expressions", 24 March
              2023, <https://github.com/ocaml-dune/csexp>.

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   [CDDLfreezer]
              Bormann, C., "A feature freezer for the Concise Data
              Definition Language (CDDL)", work in progress, 12
              September 2023, <https://datatracker.ietf.org/doc/draft-
              bormann-cbor-cddl-freezer/>.

   [GnuPG]    Free Software Foundation, Inc., "The GNU Privacy Guard",
              <https://www.gnupg.org/>.

   [Inferno]  Uriel, "Inferno S-expressions",
              <http://man.cat-v.org/inferno/6/sexprs>.

   [Libgcrypt]
              GnuPG, "The Libgcrypt Library", Libgcrypt version 1.10.2,
              6 April 2023,
              <https://www.gnupg.org/documentation/manuals/gcrypt/>.

   [LISP]     Levin, M. and J. McCarthy, "LISP 1.5 Programmer's Manual",
              ISBN-13 978-0-262-12011-0, ISBN-10 0262130114, 15 August
              1962.

   [LISP2]    McCarthy, J., "Recursive Functions of Symbolic Expressions
              and Their Computation by Machine, Part I", April 1960,
              <https://people.cs.umass.edu/~emery/classes/cmpsci691st/
              readings/PL/LISP.pdf>.

   [RFC2046]  Freed, N. and N. Borenstein, "Multipurpose Internet Mail
              Extensions (MIME) Part Two: Media Types", RFC 2046,
              DOI 10.17487/RFC2046, November 1996,
              <https://www.rfc-editor.org/info/rfc2046>.

   [RFC2692]  Ellison, C., "SPKI Requirements", RFC 2692,
              DOI 10.17487/RFC2692, September 1999,
              <https://www.rfc-editor.org/info/rfc2692>.

   [RFC2693]  Ellison, C., Frantz, B., Lampson, B., Rivest, R., Thomas,
              B., and T. Ylonen, "SPKI Certificate Theory", RFC 2693,
              DOI 10.17487/RFC2693, September 1999,
              <https://www.rfc-editor.org/info/rfc2693>.

   [RFC3259]  Ott, J., Perkins, C., and D. Kutscher, "A Message Bus for
              Local Coordination", RFC 3259, DOI 10.17487/RFC3259, April
              2002, <https://www.rfc-editor.org/info/rfc3259>.

   [RFC3275]  Eastlake 3rd, D., Reagle, J., and D. Solo, "(Extensible
              Markup Language) XML-Signature Syntax and Processing",
              RFC 3275, DOI 10.17487/RFC3275, March 2002,
              <https://www.rfc-editor.org/info/rfc3275>.

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   [RFC7159]  Bray, T., Ed., "The JavaScript Object Notation (JSON) Data
              Interchange Format", RFC 7159, DOI 10.17487/RFC7159, March
              2014, <https://www.rfc-editor.org/info/rfc7159>.

   [RFC8949]  Bormann, C. and P. Hoffman, "Concise Binary Object
              Representation (CBOR)", STD 94, RFC 8949,
              DOI 10.17487/RFC8949, December 2020,
              <https://www.rfc-editor.org/info/rfc8949>.

   [Ribose]   Ribose Group Inc., "Open-source projects for developers
              and designers", 13 April 2023, <https://open.ribose.com/>.

   [RNPGP_SEXPP]
              RNP, R., "S-Expressions parser and generator library in
              C++ (SEXP in C++)", version 0.8.7, 28 June 2023,
              <https://github.com/rnpgp/sexpp>.

   [SDSI]     Rivest, R. and B. Lampson, "A Simple Distributed Security
              Architecture", working document, SDSI version 1.1, 2
              October 1996, <https://people.csail.mit.edu/rivest/pubs/
              RL96.ver-1.1.html>.

   [SexpCode] Malkiewicz, J., "SEXP---(S-expressions)", 10 June 2015,
              <https://github.com/jpmalkiewicz/rivest-sexp>.

   [SEXPP]    Davis, R., "SexpProcessor", 10 June 2015,
              <https://github.com/seattlerb/sexp_processor>.

   [SFEXP]    Sottile, M., "Small Fast X-Expression Library", 24 March
              2023, <https://github.com/mjsottile/sfsexp>.

   [SPKI]     Rivest, R., "SPKI/SDSI 2.0 A Simple Distributed Security
              Infrastructure",
              <https://people.csail.mit.edu/rivest/pubs/RL96.slides-
              maryland.pdf>.

   [XML]      Bray, T., Paoli, J., Sperberg-McQueen, C.M., Maler, E.,
              and F. Yergeau, "Extensible Markup Language (XML) 1.0", 26
              November 2008, <https://www.w3.org/TR/REC-xml/>.

Appendix A.  Implementations

   At this time there multiple implementations, many open source,
   available that are intended to read and parse some or all of the
   various S-expression formats specified here.  In particular, see the
   following likely incomplete list:

   *  Project GNU's [Libgcrypt].

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   *  Ribose's RNP [RNPGP_SEXPP] in C++.

   *  Github project of J.  P.  Malkiewicz [SexpCode] in C.

   *  The Inferno implementation [Inferno].

   *  Small Fast X-Expression Library [SFEXP].

   *  S-expression Processor [SEXPP] in Ruby.

   *  Canonical S-expressions [CANON] (OCAML).

Appendix B.  Change History

   RFC Editor Note: Please delete this section before publication.

B.1.  -00 Changes

   This sub-section summarizes significant changes between the original
   1997 -00 version of this document and the 2023 -00 version submitted
   to the IETF.

   1.  Convert to XML v3.

   2.  Update Ron Rivest author information and, with his permission,
       add Donald Eastlake as an author.

   3.  Add minimal "IANA Considerations" and "Security Considerations"
       sections.

   4.  Since implementation requirements terminology is used, add the
       usual paragraph about it as a sub-section of Section 1 and add
       references to [RFC2119] and [RFC8174].

   5.  Divide references into Normative and Informational and update
       base-64 reference to be to [RFC4648].

   6.  Add a couple of sentences to the "Historical note" section about
       the history of -00 versions of the draft.

B.2.  Changes from -00 to -01

   1.  Fix glitches and errors in the BNF.

   2.  Add Acknowledgements section to list Marc Petit-Huguenin (who
       provided BNF improvements) and John Klensin.

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   3.  Update code references in Appendix A and add to Informative
       References section.  Note: The code in the Malkiewicz github
       repository may be the code that was originally at
       http://theory.lcs.mit.edu/~rivest/sexp.html

   4.  Add this Change History Appendix.

   5.  Move "Historical Notes" which were formerly a separate section at
       the end of the document up to be a sub-section of Section 1.

   6.  Add references to [LISP], [RFC2692], and [RFC2693].

   7.  Add simple security considerations.

   8.  Minor editorial fixes/improvements.

B.3.  Changes from -01 to -02

   1.  Change default MIME Type in Section 4.6 to have charset=utf-8
       [RFC4648].

   2.  Change BNF to ABNF and add reference to [RFC5234].

   3.  Move Marc Petit-Huguenin to a Contributors section for his work
       on the ABNF.

B.4.  Changes from -02 to -03

   1.  Add current S-expression usage Section 1.2.

   2.  Add the white book [C] as a reference.

   3.  Add reference to the Ribose RNP code [RNPGP_SEXPP].

   4.  Minor editorial improvements.

B.5.  Changes from -03 to -04

   Trivial keep-alive update.

B.6.  Changes from -04 to -05

   1.  Add reference to [Inferno] implementation.

   2.  Eliminate remaining references to being a "proposal".

   3.  Emphasize that a particular application can specify a different
       default display-hint.

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   4.  Add reference to [RFC0020] for ASCII.

   5.  Minor editorial improvements.

B.7.  Changes from -05 to -06

   1.  Move implementations list to Appendix A.  Add numerous
       implementations.

   2.  Change default display-hint to "application/octet-stream".

   3.  Expand Abstract and include most of Abstract in the Introduction.

   4.  Use different tokens for the top level rule in the three ABNF
       encodings so that the rules would not collide if all were used.
       Fix ABNF for "printable".

   5.  Add an illustration of list-structure memory representation.

   6.  Editorial improvements.

B.8.  Changes from -06 to -07

   1.  Re-order some top level sections.

   2.  Replace "list-structure" memory figure with explanation and
       [LISP2] reference.

   3.  Re-organize ABNF to give full ABNF for advanced transport first
       and then mostly derive canonical and basic from advanced.

   4.  Correct reference to [RFC5234] to be to Appendix B.1, not
       Appendix A.

   5.  Attempt to clarify the difference between canonicalization and
       equality.

   6.  Add the explicit Section 6.1 on base-64 representation of
       S-expressions.

   7.  Globally hyphenate "octet-string" and "display-hing", generally
       replace "byte" with "octet".

   8.  Add some more examples here and there.

   9.  Fix typos.  Other editorial improvements.

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Acknowledgements

   Special thanks to Daniel K.  Gillmore for his extensive comments.

   The comments and suggestions of the following are gratefully
   acknowledged: John Klensin and Caleb Malchik.

Contributors

   Special thanks to the following contributor, particularly for their
   extensive work and advice on the ABNF:

   Marc Petit-Huguenin
   Impedance Mismatch LLC
   Email: marc@petit-huguenin.org

Authors' Addresses

   Ronald L. Rivest
   MIT CSAIL
   32 Vassar Street, Room 32-G692
   Cambridge, Massachusetts 02139
   United States of America
   Email: rivest@mit.edu
   URI:   https://www.csail.mit.edu/person/ronald-l-rivest

   Donald E. Eastlake 3rd
   Independent
   2386 Panoramic Circle
   Apopka, Florida 32703
   United States of America
   Phone: +1-508-333-2270
   Email: d3e3e3@gmail.com

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