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SPKI(2)								       SPKI(2)

NAME
       SPKI: Cert, Hash, Key, Name, Seqel, Signature, Subject, Toplev, Valid -
       simple public key infrastructure

SYNOPSIS
       include "bufio.m";
       include "sexprs.m";
       include "keyring.m";
       include "spki.m";
       spki := load SPKI SPKI->PATH;

       Hash: adt {
	   alg:	   string;
	   hash:   array of byte;

	   sexp:   fn(h: self ref Hash): ref Sexprs->Sexp;
	   text:   fn(h: self ref Hash): string;
	   eq:	   fn(h1: self ref Hash, h2: ref Hash): int;
       };

       Key: adt {
	   pk:	   ref Keyring->PK;    # either pk/sk or hash might be nil
	   sk:	   ref Keyring->SK;
	   nbits:  int;
	   halg:   string;	       # basic signature hash algorithm
	   henc:   string;	       # pre-signature encoding
	   hash:   list of ref Hash;

	   hashed:  fn(k: self ref Key, alg: string): array of byte;
	   hashexp: fn(k: self ref Key, alg: string): ref Hash;
	   public:  fn(k: self ref Key): ref Key;
	   sigalg:  fn(k: self ref Key): string;
	   text:    fn(k: self ref Key): string;
	   sexp:    fn(k: self ref Key): ref Sexprs->Sexp;
	   eq:	    fn(k1: self ref Key, k2: ref Key): int;
       };

       Name: adt {
	   principal:  ref Key;
	   names:  list of string;

	   isprincipal: fn(n: self ref Name): int;
	   local:    fn(n: self ref Name): ref Name;
	   islocal:  fn(n: self ref Name): int;
	   isprefix: fn(n1: self ref Name, n2: ref Name): int;
	   text:     fn(n: self ref Name): string;
	   sexp:     fn(n: self ref Name): ref Sexprs->Sexp;
	   eq:	     fn(n1: self ref Name, n2: ref Name): int;
       };

       Cert: adt {
	   e:	     ref Sexprs->Sexp;	 # S-expression, if originally parsed
	   issuer:   ref Name;
	   subject:  ref Subject;
	   valid:    ref Valid;
	   pick {
	   A or KH or O => # auth, keyholder or object
	       delegate:   int;
	       tag:	   ref Sexprs->Sexp;
	   N =>	   # name
	   }

	   text:     fn(c: self ref Cert): string;
	   sexp:     fn(c: self ref Cert): ref Sexprs->Sexp;
       };

       Subject: adt {
	   pick{
	   P =>
	       key:    ref Key;
	   N =>
	       name:   ref Name;
	   O =>
	       hash:   ref Hash;
	   KH =>
	       holder: ref Name;
	   T =>
	       k, n:   int;
	       subs:   cyclic list of ref Subject;
	   }

	   eq:	   fn(s1: self ref Subject, s2: ref Subject): int;
	   principal:  fn(s: self ref Subject): ref Key;
	   text:   fn(s: self ref Subject): string;
	   sexp:   fn(s: self ref Subject): ref Sexprs->Sexp;
       };

       Signature: adt {
	   hash:   ref Hash;
	   key:	   ref Key;    # find by hash if necessary
	   sa:	   string;     # alg[-[encoding-]hash
	   sig:	   list of (string, array of byte);

	   algs:   fn(s: self ref Signature): (string, string, string);
	   sexp:   fn(s: self ref Signature): ref Sexprs->Sexp;
	   text:   fn(s: self ref Signature): string;
       };

       Seqel: adt {
	   pick{
	   C =>
	       c: ref Cert;
	   K =>
	       k: ref Key;
	   O =>
	       op: string;
	       args: list of ref Sexprs->Sexp;
	   S =>
	       sig: ref Signature;
	   E =>
	       exp:    ref Sexprs->Sexp;
	   }

	   sexp:   fn(se: self ref Seqeql): ref Sexprs->Sexp;
	   text:   fn(se: self ref Seqel): string;
       };

       Valid: adt {
	   notbefore:  string;
	   notafter:   string;

	   intersect:  fn(a: self Valid, b: Valid): (int, Valid);
	   text:   fn(a: self Valid): string;
	   sexp:   fn(a: self Valid): ref Sexprs->Sexp;
       };

       Toplev: adt {
	   pick {
	   C =>
	       v:  ref Cert;
	   Sig =>
	       v:  ref Signature;
	   K =>
	       v:  ref Key;
	   Seq =>
	       v:  list of ref Seqel;
	   }

	   sexp:   fn(t: self ref Toplev): ref Sexprs->Sexp;
	   text:   fn(t: self ref Toplev): string;
       };

       init:   fn();
       date2epoch: fn(s: string): int; # YYYY-MM-DD_HH:MM:SS
       epoch2date: fn(t: int): string;
       time2secs:  fn(s: string): int; # HH:MM:SS
       secs2time:  fn(t: int): string;
       sigalgs:	   fn(spec: string): (string, string, string);

       # parse structures
       parse:	   fn(s: ref Sexprs->Sexp): (ref Toplev, string);
       parseseq:   fn(s: ref Sexprs->Sexp): list of ref Seqel;
       parsecert:  fn(s: ref Sexprs->Sexp): ref Cert;
       parsesig:   fn(s: ref Sexprs->Sexp): ref Signature;
       parsename:  fn(s: ref Sexprs->Sexp): ref Name;
       parsekey:   fn(s: ref Sexprs->Sexp): ref Key;
       parsehash:  fn(s: ref Sexprs->Sexp): ref Hash;
       parsecompound:  fn(s: ref Sexprs->Sexp): ref Name;
       parsevalid: fn(s: ref Sexprs->Sexp): ref Valid;

       # signature checking
       checksig:   fn(c: ref Cert, sig: ref Signature): string;
       sig2icert:  fn(sig: ref Signature, signer: string, exp: int): ref Keyring->Certificate;

       # signature making
       signcert:   fn(c: ref Cert, sigalg: string, key: ref Key):
			(ref Signature, string);
       signbytes:  fn(a: array of byte, sigalg: string, key: ref Key):
			(ref Signature, string);

       # tags
       maketag:	   fn(e: ref Sexprs->Sexp): ref Sexprs->Sexp;
       tagintersect:  fn(t1: ref Sexprs->Sexp, t2: ref Sexprs->Sexp):
			ref Sexprs->Sexp;
       tagimplies: fn(t1: ref Sexprs->Sexp, t2: ref Sexprs->Sexp): int;

       # hash canonical s-expression
       hashbytes:  fn(a: array of byte, alg: string): array of byte;
       hashexp:	   fn(e: ref Sexprs->Sexp, alg: string): array of byte;

DESCRIPTION
       SPKI provides data types and operations to help	build  implementations
       of  the Simple Public Key Infrastructure (SPKI).	 It provides types for
       hash values, public and private keys, local and extended names, princi‐
       pals  and  compound  principles, certificates, validity periods, signa‐
       tures, and proof sequences.  It also provides operations on  authorisa‐
       tion  tags.   Externally, SPKI represents all such things as particular
       forms of S-expression, internally represented using  Sexprs->Sexp  from
       sexprs(2).

       Init must be called before invoking any other operation of the module.

       Most types defined here provide several common operations:

       t1.eq(t2)
	      Return true iff values t1 and t2 are equal.

       t.sexp()
	      Return  an  S-expression	s representing the value of t.	Subse‐
	      quently, the Sexp operation s.pack()  will  yield	 an  array  of
	      bytes  containing	 the  value t in SPKI's canonical S-expression
	      form.

       t.text()
	      Return a textual representation of the value t; it is often just
	      the textual representation of the corresponding S-expression.

       Hash is the internal representation of hash values, containing an algo‐
       rithm name alg and then the hash itself as an  array  of	 bytes.	  SPKI
       entities	 such as the public key of a principal or a signed certificate
       are often represented by the hash  values  of  their  corresponding  S-
       expressions,  where  the	 hash  value is later used as a compact way to
       refer to the original entity.  For example, a <principal> is  either  a
       <public-key>  or	 a  <hash-of-key>,  where  the	latter	refers to some
       instance of the former.	Current hash algorithms are "sha1"  and	 "md5.
       A  Hash	value  can be created from an S-expression representing a SPKI
       <hash> element by parsehash.  It returns nil if	the  S-expression  was
       ill-formed.

       Key  represents	public	and  private keys, with an optional associated
       pre-hash encoding henc, the hash algorithm halg to be used  when	 sign‐
       ing,  and an optional list of currently known hashes of the public com‐
       ponent of the key itself.  SPKI identifies principals and public	 keys,
       thus  each instance of a principal in the other data structures is rep‐
       resented by a Key giving the corresponding public key, or its hash,  or
       both.   Currently the public and private (secret) key values have types
       defined by keyring-intro(2).  A Key value can be	 created  from	an  S-
       expression  representing	 a  SPKI <public-key> element by parsekey.  It
       returns nil if the S-expression was ill-formed.	For a given Key k:

       k.ishash()
	      Returns true if k is just a hash of a key,  with	no  public  or
	      private components.

       k.public()
	      Returns the public key for k, which is simply k if it is already
	      a public key, but if it is a private key,	 then  a  new  key  is
	      returned	that has only public components.  Public returns a nil
	      value if k is just a hash of a key value.

       k.sigalg()
	      Returns the SPKI signature algorithm for the key.

       k.hashed(alg)
	      Return an array of bytes giving the hash	of  the	 Key  k	 using
	      algorithm	 alg.  It returns nil if k.ishash() is true, and k has
	      no associated hash value for alg.

       k.hashexp(alg)
	      Similar to hashed, but returns a Hash value instead of  the  raw
	      data.

       Name  represents	 both  local and extended names, and simple principals
       consisting of just a key.  The  field  principal	 gives	the  key  that
       defines	the name space in which the list of names is interpreted.  For
       simple principles, the list of names is nil.  A local name has  exactly
       one  name  in  the list.	 Two parsing functions convert to Name from S-
       expressions.  Parsename parses a SPKI <name> element: (name [ principal
       ]  name	...   ),  where principal is either a <public-key> or a <hash>
       element.	 Parsecompound accepts either a <name> element as above, or  a
       <public-key> or its <hash>.  Both functions return nil if the S-expres‐
       sion is ill-formed.

       Subject represents the subjects of SPKI name and authorisation certifi‐
       cates.  It has several variants in a pick adt, with suitable fields for
       each variant:

       Subject.P
	      A simple principal: a key.

       Subject.N
	      A group of principals or a delayed binding  to  a	 principal:  a
	      name.

       Subject.O
	      The hash of an object.

       Subject.KH
	      A	 keyholder  certificate,  that	says  something	 about a key's
	      holder (represented by a Name).

       Subject.T
	      A threshold subject, used only  in  authorisation	 certificates.
	      The n subsidiary subjects are listed in subs; of those, at least
	      k must sign a request for it to be authorised.

       Subject
	      provides the common operations eq, sexp and text, and a  further
	      operation:

       s.principal()
	      If  s  is	 a simple principal or a name, return the Key defining
	      the principal, if known; return nil otherwise.

       Subjects appear only as a subsidiary item in certificates  and  do  not
       have a parsing function.

       Cert  represents	 SPKI  certificates.   There are four variants, repre‐
       sented by a pick	 adt:  Cert.A  (authorisation);	 Cert.KH  (keyholder);
       Cert.O  (object);  and  Cert.N (name).  The following fields and opera‐
       tions are common to all variants:

       e      original S-expression (if created by parsecert) to allow	hashes
	      and  signatures to be computed on the SPKI canonical form of the
	      certificate

       issuer The simple principal (represented as  a  name)  that  issued  an
	      authorisation,  keyholder or object certificate, or the <issuer-
	      name> of a name certificate (allowing both  local	 and  extended
	      names not just simple principals).

       subject
	      The  Subject of the certificate.	Name certificates may not have
	      threshold subjects.

       valid  Optional restriction on the certificate's	 validity  (see	 Valid
	      for details).

       Name  certificates  have only the fields above; the others have several
       more fields:

       delegate
	      True iff the certificate carries delegation rights (ie,  (propa‐
	      gate) in the S-expression representation).

       tag    An S-expression that expresses the authority granted by the cer‐
	      tificate.	 The expression (tag (*)) means `all permissions'.

       A Cert value can be created from an S-expression	 representing  a  SPKI
       <cert> element by parsecert.  It returns nil if the expression was ill-
       formed.

       SPKI tag expressions, represented internally  by	 Sexprs->Sexpr	trees,
       form  a partial order, including the pattern operations (*), (* set ...
       ), (* prefix ...	 ), (* range ...  ), and as an	extension,  (*	suffix
       ...   ).	  Given	 two tag expressions t1 and t2, tagintersect returns a
       tag expression representing t1 ∩ t2; tagimplies returns true iff tag t1
       implies	tag t2: (t1∩t2)=t2.  Both functions work correctly when t1 and
       t2 contain any legal combination of pattern operations.

       SPKI structures are converted to a canonical form of S-expression to be
       hashed or signed (with or without hashing).  Hashbytes returns an array
       of bytes containing the result of hashing array a using hash  algorithm
       alg (either sha1 or md5).  Hashexp returns an array of bytes containing
       the hash of the canonical form of expression  e	using  hash  algorithm
       alg.

       Signature  associates  hash , the Hash value of something (eg, a public
       key) with the result of applying a public-key signature algorithm sa
	to that hash value.  The name of the algorithm has the form

	      alg[-[encoding-]hash]
	      with up to three subcomponents (separated by dashes), where  alg
	      is  a  public  key  algorithm such as rsa or dsa, encoding is an
	      optional encoding to apply to the value before signing, and hash
	      is  the  secure  hash  algorithm	to  apply to the encoded value
	      before signing.  For example, the usual algorithms for RSA  keys
	      are rsa-pkcs1-sha1 and rsa-pkcs1-md5.

       Signatures are created by signcert, which signs a SPKI certificate rep‐
       resented by c with key using the signature algorithm sigalg.  Key  must
       contain	both public and secret (private) components.  Any other binary
       data can be signed by signbytes, which signs arbitrary data represented
       by  an  array  of  bytes a.  Both functions apply any encoding and hash
       algorithms mentioned by sigalg, and return a tuple (sig,err).  On  suc‐
       cess,  sig  refers  to a Signature value that can be converted to an S-
       expression using sig.sexp() and err is nil.  On an error,  sig  is  nil
       and err contains a diagnostic.

       A  certificate's	 signature  can	 be  checked by checksig.  If sig is a
       valid signature for certificate c, checksig returns nil.	 If the signa‐
       ture is invalid, checksig returns a diagnostic.

SOURCE
       /appl/lib/spki.b

SEE ALSO
       bufio(2), sexprs(2), spki-verifier(2)

								       SPKI(2)
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