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HandshakeMessages.fs7
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(*
* Copyright 2015 INRIA and Microsoft Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*)
module HandshakeMessages
open Bytes
open CoreKeys
open Error
open TLSError
open TLSInfo
open Range
open StatefulLHAE
open TLSConstants
open TLSExtensions
(* This file deals with the Handshake message formatting and parsing, and their log-based invariants.
Part 1: For each handshake message, irrespective of the context where it is used,
we have one format predicate and two formatting/parsing functions, e.g.
function val ClientHelloMsg: (ProtocolVersion * random * sessionID * cipherSuites * Compression list * bytes) -> cbytes
val clientHelloBytes: cr:random -> ... -> m:bytes{B(m) = ClientHelloMsg(cr,...)}
val parseClientHello: m:bytes -> (cr:crand * ... {?... . MessageBytes(HT_client_hello,B(m)) = ClientHelloMsg(cr,...}) Result
Part 2: Predicates only, relating the current log to the more
abstract parameters in the session info. (We have many distinct
predicates, grouped by disjunctions as we join paths in the state
machine for the Handshake.)
We use them "inductively", to prove injectivity at selected places
in the state machine, as we sign & as we MAC for the finished
messages.
Those log predicates are of the form CurrentLogAtStateS(si : SessionInfo, log: bytes)
*)
(* Message Predicates *)
type PreHandshakeType =
| HT_hello_request
| HT_client_hello
| HT_server_hello
| HT_certificate
| HT_server_key_exchange
| HT_certificate_request
| HT_server_hello_done
| HT_certificate_verify
| HT_client_key_exchange
| HT_finished
predicate IsHandshakeType of PreHandshakeType
definition
!ht. IsHandshakeType(ht) <=>
(ht = HT_hello_request \/
ht = HT_client_hello \/
ht = HT_server_hello \/
ht = HT_certificate \/
ht = HT_server_key_exchange \/
ht = HT_certificate_request \/
ht = HT_server_hello_done \/
ht = HT_certificate_verify \/
ht = HT_client_key_exchange \/
ht = HT_finished)
type HandshakeType = h:PreHandshakeType{IsHandshakeType(h)}
function val HTBytes: HandshakeType -> cbytes
private definition
HTBytes(HT_hello_request ) = [| 0uy |] /\
HTBytes(HT_client_hello ) = [| 1uy |] /\
HTBytes(HT_server_hello ) = [| 2uy |] /\
HTBytes(HT_certificate ) = [| 11uy |] /\
HTBytes(HT_server_key_exchange) = [| 12uy |] /\
HTBytes(HT_certificate_request) = [| 13uy |] /\
HTBytes(HT_server_hello_done ) = [| 14uy |] /\
HTBytes(HT_certificate_verify ) = [| 15uy |] /\
HTBytes(HT_client_key_exchange) = [| 16uy |] /\
HTBytes(HT_finished ) = [| 20uy |]
val htBytes: ht:HandshakeType -> b:bytes{B(b)=HTBytes(ht)}
val parseHt: b:bytes -> (ht:HandshakeType{B(b)=HTBytes(ht)}) Result
function val MessageBytes: HandshakeType * cbytes -> cbytes
private definition !ht,b. MessageBytes(ht,b) = HTBytes(ht) @| VLBytes(3,b)
val messageBytes: ht:HandshakeType -> x:bytes -> m:bytes{B(m) = MessageBytes(ht,B(x))}
val parseMessage: buf:bytes -> ((rem:bytes * ht:HandshakeType * x:bytes * to_log:bytes)
{B(buf) = B(to_log) @| B(rem) /\
B(to_log) = MessageBytes(ht,B(x))}) option Result
ask !ht,b,b'. MessageBytes(ht,b) = MessageBytes(ht,b') => b = b'
ask !ht. IsHandshakeType(ht) => BLength(HTBytes(ht)) = 1
ask !ht,ht'. IsHandshakeType(ht) /\ IsHandshakeType(ht') => HTBytes(ht) = HTBytes(ht') => ht = ht'
ask !ht,b,ht',b'.
IsHandshakeType(ht) /\ IsHandshakeType(ht')
=> MessageBytes(ht,b) = MessageBytes(ht',b')
=> (ht = ht' /\ b = b')
val splitMessage: ht:HandshakeType -> m:bytes -> (r:bytes{B(m) = HTBytes(ht) @| B(r)}) Result
// Next predicate to make sure we can make fragments
predicate type unsafe = Unsafe of epoch
private definition !ki. Unsafe(ki) <=> not Auth(ki)
val makeFragment: ki:epoch -> b:bytes -> (r:range * (;Id(ki),HSFragment.EmptyStream(Id(ki)),r) HSFragment.plain * bytes)
val popBytes: i:nat -> m:bytes -> (data:bytes * r:bytes{Length(data) = i /\ B(m) = B(data) @| B(r)}) Result
val popVLBytes: i:nat{i <= 8} -> m:bytes -> (data:bytes * r:bytes{B(m) = VLBytes(i, B(data)) @| B(r)}) Result
val popProtocolVersion: m:bytes -> (pv:ProtocolVersion * r:bytes{B(m) = VersionBytes(pv) @| B(r)}) Result
val popClientRandom: m:bytes -> (cr:crand * r:bytes{B(m) = B(cr) @| B(r)}) Result
val popSid: m:bytes -> (sid:sessionID * r:bytes{B(m) = VLBytes(1,B(sid)) @| B(r)}) Result
val popCSBytes: m:bytes -> (cs:bytes * r:bytes{B(m) = VLBytes(2,B(cs)) @| B(r)}) Result
val popCPBytes: m:bytes -> (cp:bytes * r:bytes{B(m) = VLBytes(1,B(cp)) @| B(r)}) Result
val popCS: m:bytes -> (cs:cipherSuites * r:bytes{?csb. B(m) = VLBytes(2,B(csb)) @| B(r)}) Result
val popCP: m:bytes -> (cp:Compression list * r:bytes{?cpb. B(m) = VLBytes(1,B(cpb)) @| B(r)}) Result
(* verify data authenticated by the Finished messages *)
type log = bytes (* message payloads so far, to be eventually authenticated *)
// For each Handshake message x, we have:
// XMsg : a logical specification of its wire format
// xBytes : a formatting function
// parseX : a parsing function (returning a Result, as parsing may fail)
function val ClientHelloMsg: (ProtocolVersion * random * sessionID * cbytes * cbytes * bytes) -> cbytes
definition !cv,clRdm,sid,cls,cm,ext,b.
ClientHelloMsg(cv,clRdm,sid,cls,cm,ext) =
MessageBytes(HT_client_hello,
(VersionBytes(cv) @|
(B(clRdm) @|
(VLBytes(1,B(sid)) @|
(VLBytes(2,cls) @|
(VLBytes(1,cm) @|
B(ext)))))
))
val clientHelloBytes: c:config -> cr:random -> sid:sessionID -> ext:bytes ->
m:bytes{B(m) = ClientHelloMsg(c.maxVer,cr,sid,CipherSuitesBytes(c.ciphersuites),CompressionsBytes(c.compressions),ext)}
val parseClientHelloDumb: m:bytes ->
(pv:ProtocolVersion * cr:crand * sid:sessionID * cs:cipherSuites * cm:Compression list * ext:bytes
{?cs',cm'. MessageBytes(HT_client_hello,B(m)) = ClientHelloMsg(pv,cr,sid,cs',cm',ext)}) Result
val parseClientHello: m:bytes ->
(pv:ProtocolVersion * cr:crand * sid:sessionID * cs:cipherSuites * cm:Compression list * ext:bytes
{?cs',cm'. MessageBytes(HT_client_hello,B(m)) = ClientHelloMsg(pv,cr,sid,cs',cm',ext)}) Result
ask !pv,cr,s,cs,cm,ex,pv',cr',s',cs',cm',ex'.
IsProtocolVersion(pv) /\ IsProtocolVersion(pv')
=> BLength(B(cr)) = BLength(B(cr'))
=> ClientHelloMsg(pv,cr,s,cs,cm,ex) = ClientHelloMsg(pv',cr',s',cs',cm',ex')
=> (pv = pv' /\ cr = cr' /\ s = s' /\ ex = ex')
ask !pv,cr,s,cs,cm,ex,pv',cr',s',cs',cm',ex'.
ClientHelloMsg(pv,cr,s,cs,cm,ex) = ClientHelloMsg(pv',cr',s',cs',cm',ex')
=> BLength(ClientHelloMsg(pv,cr,s,cs,cm,ex)) = BLength(ClientHelloMsg(pv',cr',s',cs',cm',ex'))
function val ServerHelloMsg: (ProtocolVersion * random * sessionID * cipherSuite * Compression * bytes) -> cbytes
private definition !pv,sr,sid,cs,cm,ext.
ServerHelloMsg(pv,sr,sid,cs,cm,ext) =
MessageBytes(HT_server_hello,
(VersionBytes(pv) @|
B(sr) @|
VLBytes(1,B(sid)) @|
CipherSuiteBytes(cs) @|
CompressionBytes(cm) @|
B(ext))
)
function val SessionHelloParams: SessionInfo * unit -> (ProtocolVersion * cipherSuite * Compression)
definition !si.
SessionHelloParams(si,()) = (si.protocol_version,si.cipher_suite,si.compression)
val serverHelloBytes: si:SessionInfo -> sr:random -> ext:bytes ->
b:bytes{B(b) = ServerHelloMsg(si.protocol_version,sr,si.sessionID,si.cipher_suite,
si.compression,ext)}
val parseServerHello: b:bytes ->
((pv:ProtocolVersion * sr:random * sid:sessionID * cs:cipherSuite * cm:Compression * ext:bytes)
{MessageBytes(HT_server_hello,B(b)) = ServerHelloMsg(pv,sr,sid,cs,cm,ext)})
Result
ask !pv,sr,sid,cs,cm,ext,pv',sr',sid',cs',cm',ext'.
IsProtocolVersion(pv) /\ IsProtocolVersion(pv')
=> IsCompression(cm) /\ IsCompression(cm')
=> BLength(B(sr)) = BLength(B(sr'))
=> ServerHelloMsg(pv,sr,sid,cs,cm,ext) = ServerHelloMsg(pv',sr',sid',cs',cm',ext')
=> (pv = pv' /\ sr = sr' /\ cm = cm' /\ sid = sid')
ask !pv,sr,sid,cs,cm,ext,pv',sr',sid',cs',cm',ext'.
ServerHelloMsg(pv,sr,sid,cs,cm,ext) = ServerHelloMsg(pv',sr',sid',cs',cm',ext')
=> BLength(ServerHelloMsg(pv,sr,sid,cs,cm,ext)) = BLength(ServerHelloMsg(pv',sr',sid',cs',cm',ext'))
val helloRequestBytes: b:bytes{B(b)=MessageBytes(HT_hello_request,[||])}
val CCSBytes: b:bytes{B(b)=[|1uy|]}
function val ServerHelloDoneMsg: bytes -> cbytes
definition !x. ServerHelloDoneMsg(x) = MessageBytes(HT_server_hello_done,B(x))
val serverHelloDoneBytes: b:bytes{B(b)=ServerHelloDoneMsg(empty_bytes)}
function val CertificateMsg: Cert.chain -> cbytes
private definition !cl. CertificateMsg(cl) = MessageBytes(HT_certificate,VLBytes(3,Cert.CertificateListBytes(cl)))
val serverCertificateBytes: cl:Cert.chain ->
b:bytes{B(b) = CertificateMsg(cl)}
val clientCertificateBytes: clo: (Cert.chain * a:Sig.alg * (;a)Sig.skey) option ->
b:bytes{
( clo = None => B(b) = CertificateMsg([]) ) /\
( !cl,a',b'. clo = Some((cl,a',b')) => B(b) = CertificateMsg(cl)
)}
val parseClientOrServerCertificate: b:bytes ->
(bl:Cert.cert list{
MessageBytes(HT_certificate,B(b)) = CertificateMsg(bl)
}) Result
function val CertificateRequestTLS12: certType list * Sig.alg list * string list -> cbytes
private definition !ct,sa,dn.
CertificateRequestTLS12(ct,sa,dn) =
MessageBytes(HT_certificate_request,
VLBytes(1,CertTypesBytes(ct)) @|
VLBytes(2,SigHashAlgsBytes(sa)) @|
VLBytes(2,DistinguishedNameListBytes(dn)))
function val CertificateRequestTLS: certType list * string list -> cbytes
private definition !ct,dn.
CertificateRequestTLS(ct,dn) =
MessageBytes(HT_certificate_request,
VLBytes(1,CertTypesBytes(ct)) @| [||] @|
VLBytes(2,DistinguishedNameListBytes(dn)))
function val CertificateRequestMsg: ProtocolVersion * certType list * Sig.alg list * string list -> cbytes
private definition !pv,ct,sa,dn.
(pv = TLS_1p2 => CertificateRequestMsg(pv,ct,sa,dn) = CertificateRequestTLS12(ct,sa,dn)) /\
((pv = TLS_1p1 \/ pv = TLS_1p0 \/ pv = SSL_3p0) => CertificateRequestMsg(pv,ct,sa,dn) = CertificateRequestTLS(ct,dn))
val sigHashAlgBytesVersion: pv:ProtocolVersion -> cs:cipherSuite ->
b:bytes{(pv = TLS_1p2 => B(b)=VLBytes(2,SigHashAlgsBytes(DefaultSigHashAlgs(pv,cs)))) /\
((pv = TLS_1p1 \/ pv = TLS_1p0 \/ pv = SSL_3p0) => B(b) = [||])}
val parseSigHashAlgVersion: pv:ProtocolVersion -> b:bytes ->
((a:(Sig.alg list) * r:bytes){
(pv = TLS_1p2 =>
(B(b) = VLBytes(2,SigHashAlgsBytes(a)) @| B(r))
) /\
((pv = TLS_1p1 \/ pv = TLS_1p0 \/ pv = SSL_3p0) =>
a = [] /\ B(r)=B(b))
}) Result
val certificateRequestBytes: sign:bool -> cs:cipherSuite -> pv:ProtocolVersion ->
b:bytes{B(b) = CertificateRequestMsg(pv,DefaultCertTypes(sign,cs),DefaultSigHashAlgs(pv,cs),[])}
val parseCertificateRequest: pv:ProtocolVersion -> b:bytes ->
((ctl:certType list * al:(Sig.alg list) * sl:string list){
MessageBytes(HT_certificate_request,B(b)) = CertificateRequestMsg(pv,ctl,al,sl)}) Result
function val ClientKeyExchangeMsg_RSA: pv:ProtocolVersion * bytes -> cbytes
private definition !pv,encpms,b.
((pv = TLS_1p2 \/ pv = TLS_1p1 \/ pv = TLS_1p0) => ClientKeyExchangeMsg_RSA(pv,encpms) = MessageBytes(HT_client_key_exchange,VLBytes(2,B(encpms)))) /\
(pv = SSL_3p0 => ClientKeyExchangeMsg_RSA(pv,encpms) = MessageBytes(HT_client_key_exchange,B(encpms)))
val encpmsBytesVersion: pv:ProtocolVersion -> encpms:bytes ->
b:bytes{ (pv = SSL_3p0 => B(b)=B(encpms)) /\
((pv = TLS_1p0 \/ pv = TLS_1p1 \/ pv = TLS_1p2) => B(b)=VLBytes(2,B(encpms)))}
val parseEncpmsVersion: pv:ProtocolVersion -> b:bytes ->
(encpms:bytes{
(pv = SSL_3p0 => B(b)=B(encpms)) /\
((pv = TLS_1p0 \/ pv = TLS_1p1 \/ pv = TLS_1p2) => B(b) = VLBytes(2,B(encpms)))
}) Result
val clientKeyExchangeBytes_RSA: si:SessionInfo -> encpms:bytes ->
b:bytes{B(b) = ClientKeyExchangeMsg_RSA(si.protocol_version,encpms)}
val parseClientKeyExchange_RSA: si:SessionInfo -> b:bytes ->
(encpms:bytes{
ClientKeyExchangeMsg_RSA(si.protocol_version,encpms) =
MessageBytes(HT_client_key_exchange,B(b))}) Result
function val ClientKeyExchangeMsg_DHE: bytes -> cbytes
private definition !b.
ClientKeyExchangeMsg_DHE(b) =
MessageBytes(HT_client_key_exchange,
VLBytes(2,B(b)))
val clientKEXExplicitBytes_DH: gx:bytes ->
b:bytes{B(b) = ClientKeyExchangeMsg_DHE(gx)}
val parseClientKEXExplicit_DH: dhp:CoreKeys.dhparams{DHGroup.PP(dhp.dhp,dhp.dhg)} -> b:bytes ->
(gx:(;dhp.dhp,dhp.dhg)DHGroup.elt{
MessageBytes(HT_client_key_exchange,B(b)) =
ClientKeyExchangeMsg_DHE(gx)
}) Result
val clientKEXImplicitBytes_DH: bytes
val parseClientKEXImplicit_DH: bytes -> unit Result
(* Digitally signed and DHE parameters *)
function val DigitallySignedBytes: Sig.alg * bytes * ProtocolVersion -> cbytes
private definition !a,p,pv.
(pv = TLS_1p2 => DigitallySignedBytes(a,p,pv) = SigHashAlgBytes(a) @| VLBytes(2,B(p))) /\
( (pv = TLS_1p1 \/ pv = TLS_1p0 \/ pv = SSL_3p0) => DigitallySignedBytes(a,p,pv) = VLBytes(2,B(p)))
val digitallySignedBytes: a:Sig.alg -> p:bytes -> pv:ProtocolVersion ->
b:bytes{B(b) = DigitallySignedBytes(a,p,pv)}
val parseDigitallySigned: al:Sig.alg list -> b:bytes -> pv:ProtocolVersion ->
((a:Sig.alg * p:bytes){
B(b) = DigitallySignedBytes(a,p,pv)
}) Result
function val DHEParamBytes: bytes * bytes * bytes -> cbytes
private definition !p,g,y.
DHEParamBytes(p,g,y) =
VLBytes(2,B(p)) @|
VLBytes(2,B(g)) @|
VLBytes(2,B(y))
val dheParamBytes: p:bytes -> g:bytes -> y:bytes ->
b:bytes{B(b) = DHEParamBytes(p,g,y)}
val parseDHEParams: b:bytes ->
((p:bytes * g:bytes * y:bytes * rem:bytes) {
B(b) = (DHEParamBytes(p,g,y) @| B(rem))
}) Result
function val ServerKeyExchangeMsg_DHE: ProtocolVersion * p:bytes * g:bytes * y:bytes * Sig.alg * sign:bytes-> cbytes
private definition !pv,p,g,y,a,sign.
ServerKeyExchangeMsg_DHE(pv,p,g,y,a,sign) =
MessageBytes(HT_server_key_exchange,
DHEParamBytes(p,g,y) @| DigitallySignedBytes(a,sign,pv))
val serverKeyExchangeBytes_DHE: dheb:bytes{?p,g,y. B(dheb) = DHEParamBytes(p,g,y)} ->
a:Sig.alg -> sign:bytes -> pv:ProtocolVersion ->
b:bytes{?p,g,y. B(dheb) = DHEParamBytes(p,g,y) /\
B(b) = ServerKeyExchangeMsg_DHE(pv,p,g,y,a,sign)}
val parseServerKeyExchange_DHE: pv:ProtocolVersion -> cs:cipherSuite ->
b:bytes ->
((p:bytes * g:bytes * y:bytes * a:Sig.alg * sign:bytes){
MessageBytes(HT_server_key_exchange,B(b)) =
ServerKeyExchangeMsg_DHE(pv,p,g,y,a,sign)
}) Result
function val ServerKeyExchangeMsg_DH_anon: bytes * bytes * bytes -> cbytes
val serverKeyExchangeBytes_DH_anon: bytes -> bytes -> bytes -> bytes
val parseServerKeyExchange_DH_anon: bytes ->
(p:bytes * g:bytes * y:bytes) Result
//function val CertificateVerifyMsg: si:SessionInfo * (;si)PRF.masterSecret * a:Sig.alg * Cert.chain * (;a)Sig.pkey * log -> bytes
function val CertificateVerifyMsg: ProtocolVersion * Sig.alg * bytes -> cbytes
private definition !pv,a,sign.
CertificateVerifyMsg(pv,a,sign) = MessageBytes(HT_certificate_verify,DigitallySignedBytes(a,sign,pv))
val makeCertificateVerifyBytes: si:SessionInfo -> (;si)PRF.masterSecret -> a:Sig.alg -> k:(;a)Sig.skey ->
l:log{Sig.Msg(a,Sig.PK(k),l)} ->
b:bytes * sign:bytes{
B(b) = CertificateVerifyMsg(si.protocol_version,a,sign)
}
val certificateVerifyCheck: si:SessionInfo{si.clientID <> []} ->
(;si)PRF.masterSecret -> al:Sig.alg list -> l:log -> payload:bytes ->
b:bool * a:Sig.alg * sign:bytes{
b = true => (
MessageBytes(HT_certificate_verify,B(payload)) = CertificateVerifyMsg(si.protocol_version,a,sign)
/\ ((si.protocol_version <> SSL_3p0 /\ Sig.Strong(a) /\ Sig.Honest(a,Cert.SigPKCert(si.clientID,a))) =>
Sig.Msg(a,Cert.SigPKCert(si.clientID,a),l)))}
//function val ServerFinishedMsg: si:SessionInfo * (;si)PRF.masterSecret * log -> bytes
function val ServerFinishedMsg: sVerifyData -> cbytes
definition !svd. ServerFinishedMsg(svd) = MessageBytes(HT_finished,B(svd))
//function val ClientFinishedMsg: si:SessionInfo * (;si)PRF.masterSecret * log -> bytes
function val ClientFinishedMsg: cVerifyData -> cbytes
definition !svd. ClientFinishedMsg(svd) = MessageBytes(HT_finished,B(svd))
(* SessionInfo update predicates *)
predicate UpdatesPmsClientID of SessionInfo * SessionInfo
definition !si,si'.
UpdatesPmsClientID(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.session_hash = si.session_hash /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesPmsID of SessionInfo * SessionInfo
definition !si,si'.
UpdatesPmsID(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.session_hash = si.session_hash /\
si'.client_auth = si.client_auth /\
si'.clientID = si.clientID /\
si'.clientSigAlg = si.clientSigAlg /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.sessionID = si.sessionID)
predicate UpdatesClientID of SessionInfo * SessionInfo
definition !si,si'.
UpdatesClientID(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientSigAlg = si.clientSigAlg /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesClientIDSigAlg of SessionInfo * SessionInfo
definition !si,si'.
UpdatesClientIDSigAlg(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesClientSigAlg of SessionInfo * SessionInfo
definition !si,si'.
UpdatesClientSigAlg(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientID = si.clientID /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
ask !si,si'. UpdatesClientSigAlg(si,si') => MsI(si) = MsI(si')
predicate UpdatesServerIDSigAlg of SessionInfo * SessionInfo
definition !si,si'.
UpdatesServerIDSigAlg(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientID = si.clientID /\
si'.clientSigAlg = si.clientSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesServerSigAlg of SessionInfo * SessionInfo
definition !si,si'.
UpdatesServerSigAlg(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientID = si.clientID /\
si'.serverID = si.serverID /\
si'.clientSigAlg = si.clientSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesServerID of SessionInfo * SessionInfo
definition !si,si'.
UpdatesServerID(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientID = si.clientID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.clientSigAlg = si.clientSigAlg /\
si'.client_auth = si.client_auth /\
si'.sessionID = si.sessionID)
predicate UpdatesClientAuth of SessionInfo * SessionInfo
definition !si,si'.
UpdatesClientAuth(si,si') <=>
(si'.init_crand = si.init_crand /\
si'.init_srand = si.init_srand /\
si'.protocol_version = si.protocol_version /\
si'.cipher_suite = si.cipher_suite /\
si'.compression = si.compression /\
si'.extensions = si.extensions /\
si'.pmsId = si.pmsId /\
si'.session_hash = si.session_hash /\
si'.clientID = si.clientID /\
si'.clientSigAlg = si.clientSigAlg /\
si'.serverID = si.serverID /\
si'.serverSigAlg = si.serverSigAlg /\
si'.sessionID = si.sessionID)
(* Server Log predicates *)
predicate ServerLogBeforeClientCertificateRSA of SessionInfo * ProtocolVersion * log
predicate ServerLogBeforeClientCertificateRSA_Auth of SessionInfo * ProtocolVersion * log
predicate ServerLogBeforeClientCertificateRSA_NoAuth of SessionInfo * ProtocolVersion * log
definition !si,pv,l.
ServerLogBeforeClientCertificateRSA_Auth(si,pv,l) <=>
((si.client_auth = true /\ ServerLogBeforeClientCertificateRSA_Auth(si,pv,l)) \/
(si.client_auth = false /\ ServerLogBeforeClientCertificateRSA_NoAuth(si,pv,l)))
definition !si,pv,l.
ServerLogBeforeClientCertificateRSA_Auth(si,pv,l) <=>
(?csl,cml,csess,ex1,ex2,ctl,sal,nl.
B(l) = (ClientHelloMsg(pv,si.init_crand,csess,csl,cml,ex1) @|
(ServerHelloMsg(si.protocol_version,si.init_srand,si.sessionID,si.cipher_suite,si.compression,ex2) @|
CertificateMsg(si.serverID) @|
CertificateRequestMsg(si.protocol_version,ctl,sal,nl) @|
ServerHelloDoneMsg(empty_bytes))))
definition !si,pv,l.
ServerLogBeforeClientCertificateRSA_NoAuth(si,pv,l) <=>
(?cs,cm,sess,ex1,ex2.
B(l) = (ClientHelloMsg(pv,si.init_crand,sess,cs,cm,ex1) @|
(ServerHelloMsg(si.protocol_version,si.init_srand,si.sessionID,si.cipher_suite,si.compression,ex2) @|
CertificateMsg(si.serverID) @|
ServerHelloDoneMsg(empty_bytes))))
predicate ServerLogBeforeClientCertificateDHE of SessionInfo * log
predicate ServerLogBeforeClientCertificateDHE_Auth of SessionInfo * log
predicate ServerLogBeforeClientCertificateDHE_NoAuth of SessionInfo * log
definition !si,pv,l.
ServerLogBeforeClientCertificateDHE(si,l) <=>
((si.client_auth = true /\ ServerLogBeforeClientCertificateDHE_Auth(si,l)) \/
(si.client_auth = false /\ ServerLogBeforeClientCertificateDHE_NoAuth(si,l)))
definition !si,l.
ServerLogBeforeClientCertificateDHE_Auth(si,l) <=>
(?cpv,csl,cml,csess,ex1,ex2,ctl,sal,nl,p,g,y,a,sign.
B(l) = (ClientHelloMsg(cpv,si.init_crand,csess,csl,cml,ex1) @|
(ServerHelloMsg(si.protocol_version,si.init_srand,si.sessionID,si.cipher_suite,si.compression,ex2) @|
CertificateMsg(si.serverID) @|
ServerKeyExchangeMsg_DHE(si.protocol_version,p,g,y,a,sign) @|
CertificateRequestMsg(si.protocol_version,ctl,sal,nl) @|
ServerHelloDoneMsg(empty_bytes))))
definition !si,l.
ServerLogBeforeClientCertificateDHE_NoAuth(si,l) <=>
(?pv,cs,cm,sess,ex1,ex2,p,g,y,a,sign.
B(l) = (ClientHelloMsg(pv,si.init_crand,sess,cs,cm,ex1) @|
(ServerHelloMsg(si.protocol_version,si.init_srand,si.sessionID,si.cipher_suite,si.compression,ex2) @|
CertificateMsg(si.serverID) @|
ServerKeyExchangeMsg_DHE(si.protocol_version,p,g,y,a,sign) @|
ServerHelloDoneMsg(empty_bytes))))
predicate ServerLogBeforeClientKeyExchangeRSA of SessionInfo * ProtocolVersion * log
predicate ServerLogBeforeClientKeyExchangeRSA_Auth of SessionInfo * ProtocolVersion * log
predicate ServerLogBeforeClientKeyExchangeRSA_NoAuth of SessionInfo * ProtocolVersion * log
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeRSA(si,pv,l) <=>
((si.client_auth = true /\ ServerLogBeforeClientKeyExchangeRSA_Auth(si,pv,l)) \/
(si.client_auth = false /\ ServerLogBeforeClientKeyExchangeRSA_NoAuth(si,pv,l)))
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeRSA_Auth(si,pv,l) <=>
(?si',l'. ServerLogBeforeClientCertificateRSA_Auth(si',pv,l') /\
UpdatesClientID(si',si) /\
B(l) = B(l') @| CertificateMsg(si.clientID))
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeRSA_NoAuth(si,pv,l) <=>
ServerLogBeforeClientCertificateRSA_NoAuth(si,pv,l)
predicate ServerLogBeforeClientKeyExchangeDHE of SessionInfo * log
predicate ServerLogBeforeClientKeyExchangeDHE_Auth of SessionInfo * log
predicate ServerLogBeforeClientKeyExchangeDHE_NoAuth of SessionInfo * log
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeDHE(si,l) <=>
((si.client_auth = true /\ ServerLogBeforeClientKeyExchangeDHE_Auth(si,l)) \/
(si.client_auth = false /\ ServerLogBeforeClientKeyExchangeDHE_NoAuth(si,l)))
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeDHE_Auth(si,l) <=>
(?si',l'. ServerLogBeforeClientCertificateDHE_Auth(si',l') /\
UpdatesClientID(si',si) /\
B(l) = B(l') @| CertificateMsg(si.clientID))
definition !si,pv,l.
ServerLogBeforeClientKeyExchangeDHE_NoAuth(si,l) <=>
ServerLogBeforeClientCertificateDHE_NoAuth(si,l)
predicate ServerLogBeforeClientCertificateVerifyRSA of SessionInfo * log
definition !si,pv,l.
ServerLogBeforeClientCertificateVerifyRSA(si,l) <=>
(?si',pv,r,l',encpms. ServerLogBeforeClientKeyExchangeRSA(si',pv,l') /\
UpdatesPmsID(si',si) /\
si.pmsId = PmsId(PMS.RSAPMS(Cert.RSAPKCert(si.serverID),pv,r)) /\
B(l) = B(l') @| ClientKeyExchangeMsg_RSA(si.protocol_version,encpms))
predicate ServerLogBeforeClientCertificateVerifyDHE of SessionInfo * log
definition !si,pv,l.
ServerLogBeforeClientCertificateVerifyDHE(si,l) <=>
(?si',l',p,g,gc,gs,r,d. ServerLogBeforeClientKeyExchangeDHE(si',l') /\
UpdatesPmsID(si',si) /\
si.pmsId = PmsId(PMS.DHPMS(p,g,gs,gc,r)) /\
B(l) = B(l') @| ClientKeyExchangeMsg_DHE(gc))
predicate ServerLogBeforeClientCertificateVerify of SessionInfo * log
definition
!si,l. ServerLogBeforeClientCertificateVerify(si,l) <=>
(ServerLogBeforeClientCertificateVerifyRSA(si,l) \/
ServerLogBeforeClientCertificateVerifyDHE(si,l))
predicate ServerLogBeforeClientFinished of SessionInfo * log
predicate ServerLogBeforeClientFinished_Auth of SessionInfo * log
predicate ServerLogBeforeClientFinished_NoAuth of SessionInfo * log
definition
!si,l. ServerLogBeforeClientFinished(si,l) <=>
((si.client_auth = true /\ ServerLogBeforeClientFinished_Auth(si,l)) \/
(si.client_auth = false /\ ServerLogBeforeClientFinished_NoAuth(si,l)))
definition !si,l.
ServerLogBeforeClientFinished_Auth(si,l) <=>
(?si',l',a,sign. ServerLogBeforeClientCertificateVerify(si',l') /\
UpdatesClientSigAlg(si',si) /\
(B(l) = B(l') @| CertificateVerifyMsg(si.protocol_version,a,sign)))
definition !si,l.
ServerLogBeforeClientFinished_NoAuth(si,l) <=>
ServerLogBeforeClientCertificateVerify(si,l)
predicate ServerLogBeforeServerFinished of SessionInfo * log
definition
!si,l. ServerLogBeforeServerFinished(si,l) <=>
(?l',cvd. ServerLogBeforeClientFinished(si,l') /\
(B(l) = B(l') @| ClientFinishedMsg(cvd)))
(* Client Log predicates *)
predicate ClientLogBeforeServerHello of random * log
predicate ClientLogBeforeServerCertificate of SessionInfo * log
definition !cr,sid,l.
ClientLogBeforeServerHello(cr,l) <=>
(?pv,csid,cs,cm,ex1. B(l) = ClientHelloMsg(pv,cr,sid,cs,cm,ex1))
ask !pv,cs,cm,ex1,cr,sid,l. B(l) = ClientHelloMsg(pv,cr,sid,cs,cm,ex1) =>
ClientLogBeforeServerHello(cr,l)
definition !si,l.
ClientLogBeforeServerCertificate(si,l) <=>
(?l',ex2.
ClientLogBeforeServerHello(si.init_crand,l') /\
B(l) = B(l') @|
ServerHelloMsg(si.protocol_version,si.init_srand,si.sessionID,si.cipher_suite,si.compression,ex2))
predicate ClientLogBeforeCertificateRequestRSA of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeCertificateRequestRSA(si,l) <=>
(?si',l'. ClientLogBeforeServerCertificate(si',l') /\
UpdatesServerID(si',si) /\
B(l) = B(l') @| CertificateMsg(si.serverID))
predicate ClientLogBeforeServerKeyExchangeDHE of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeServerKeyExchangeDHE(si,l) <=>
(?si',l'. ClientLogBeforeServerCertificate(si',l') /\
UpdatesServerID(si',si) /\
B(l) = B(l') @| CertificateMsg(si.serverID))
predicate ClientLogBeforeCertificateRequestDHE of SessionInfo * log
definition !si,l.
ClientLogBeforeCertificateRequestDHE(si,l) <=>
(?si',l',p,g,y,a,pv,sign.
ClientLogBeforeServerKeyExchangeDHE(si',l') /\
UpdatesServerSigAlg(si',si) /\
B(l) = B(l') @| ServerKeyExchangeMsg_DHE(pv,p,g,y,a,sign))
predicate ClientLogBeforeServerHelloDoneRSA of SessionInfo * log
predicate ClientLogBeforeServerHelloDoneRSA_Auth of SessionInfo * log
predicate ClientLogBeforeServerHelloDoneRSA_NoAuth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeServerHelloDoneRSA(si,l) <=>
((si.client_auth = true /\ ClientLogBeforeServerHelloDoneRSA_Auth(si,l)) \/
(si.client_auth = false /\ ClientLogBeforeServerHelloDoneRSA_NoAuth(si,l)))
definition !si,l.
ClientLogBeforeServerHelloDoneRSA_Auth(si,l) <=>
(?si',l',ctl,sal,pv,nl. ClientLogBeforeCertificateRequestRSA(si',l') /\
UpdatesClientAuth(si',si) /\
B(l) = B(l') @| CertificateRequestMsg(pv,ctl,sal,nl))
ask !si,l,si',l',pv,ctl,sal,nl.
(si.client_auth = true /\ ClientLogBeforeCertificateRequestRSA(si',l') /\
UpdatesClientAuth(si',si) /\
B(l) = B(l') @| CertificateRequestMsg(pv,ctl,sal,nl)) =>
ClientLogBeforeServerHelloDoneRSA(si,l)
definition !si,l.
ClientLogBeforeServerHelloDoneRSA_NoAuth(si,l) <=>
(?si'. UpdatesClientAuth(si',si) /\
ClientLogBeforeCertificateRequestRSA(si',l))
predicate ClientLogAfterServerHelloDoneRSA of SessionInfo * log
definition !si,pv,l.
ClientLogAfterServerHelloDoneRSA(si,l) <=>
(?l',b. ClientLogBeforeServerHelloDoneRSA(si,l') /\
B(l) = B(l') @| ServerHelloDoneMsg(b))
predicate ClientLogBeforeServerHelloDoneDHE of SessionInfo * log
predicate ClientLogBeforeServerHelloDoneDHE_Auth of SessionInfo * log
predicate ClientLogBeforeServerHelloDoneDHE_NoAuth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeServerHelloDoneDHE(si,l) <=>
((si.client_auth = true /\ ClientLogBeforeServerHelloDoneDHE_Auth(si,l)) \/
(si.client_auth = false /\ ClientLogBeforeServerHelloDoneDHE_NoAuth(si,l)))
definition !si,pv,l.
ClientLogBeforeServerHelloDoneDHE_Auth(si,l) <=>
(?si',l',pv,ctl,sal,nl. ClientLogBeforeCertificateRequestDHE(si',l') /\
UpdatesClientAuth(si',si) /\
B(l) = B(l') @| CertificateRequestMsg(pv,ctl,sal,nl))
definition !si,pv,l.
ClientLogBeforeServerHelloDoneDHE_NoAuth(si,l) <=>
(?si'. UpdatesClientAuth(si',si) /\
ClientLogBeforeCertificateRequestDHE(si',l))
predicate ClientLogAfterServerHelloDoneDHE of SessionInfo * log
definition !si,pv,l.
ClientLogAfterServerHelloDoneDHE(si,l) <=>
(?l',b. ClientLogBeforeServerHelloDoneDHE(si,l') /\
B(l) = B(l') @| ServerHelloDoneMsg(b))
predicate ClientLogBeforeCertificateVerifyRSA_Auth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeCertificateVerifyRSA_Auth(si,l) <=>
(?si',l',encpms. ClientLogAfterServerHelloDoneRSA(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = (B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_RSA(si.protocol_version,encpms))
predicate ClientLogBeforeCertificateVerifyDHE_Auth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeCertificateVerifyDHE_Auth(si,l) <=>
(?si',l',b. ClientLogAfterServerHelloDoneDHE(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = (B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_DHE(b))
predicate ClientLogBeforeClientFinishedRSA of SessionInfo * log
predicate ClientLogBeforeClientFinishedRSA_Auth of SessionInfo * log
predicate ClientLogBeforeClientFinishedRSA_TryNoAuth of SessionInfo * log
predicate ClientLogBeforeClientFinishedRSA_NoAuth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeClientFinishedRSA(si,l) <=>
((si.client_auth = true /\ si.clientID <> [] /\ ClientLogBeforeClientFinishedRSA_Auth(si,l)) \/
(si.client_auth = true /\ si.clientID = [] /\ ClientLogBeforeClientFinishedRSA_TryNoAuth(si,l)) \/
(si.client_auth = false /\ ClientLogBeforeClientFinishedRSA_NoAuth(si,l)))
definition !si,pv,l.
ClientLogBeforeClientFinishedRSA_Auth(si,l) <=>
(?si',l',encpms,a,sign. ClientLogAfterServerHelloDoneRSA(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = ((B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_RSA(si.protocol_version,encpms))
@| CertificateVerifyMsg(si.protocol_version,a,sign))
definition !si,pv,l.
ClientLogBeforeClientFinishedRSA_TryNoAuth(si,l) <=>
(?si',l',encpms. ClientLogAfterServerHelloDoneRSA(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = (B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_RSA(si.protocol_version,encpms))
definition !si,pv,l.
ClientLogBeforeClientFinishedRSA_NoAuth(si,l) <=>
(?si',l',encpms. ClientLogAfterServerHelloDoneRSA(si',l') /\
si'.client_auth = false /\
UpdatesPmsClientID(si',si) /\
B(l) = B(l') @| ClientKeyExchangeMsg_RSA(si.protocol_version,encpms))
predicate ClientLogBeforeClientFinishedDHE of SessionInfo * log
predicate ClientLogBeforeClientFinishedDHE_Auth of SessionInfo * log
predicate ClientLogBeforeClientFinishedDHE_TryNoAuth of SessionInfo * log
predicate ClientLogBeforeClientFinishedDHE_NoAuth of SessionInfo * log
definition !si,pv,l.
ClientLogBeforeClientFinishedDHE(si,l) <=>
((si.client_auth = true /\ si.clientID <> [] /\ ClientLogBeforeClientFinishedDHE_Auth(si,l)) \/
(si.client_auth = true /\ si.clientID = [] /\ ClientLogBeforeClientFinishedDHE_TryNoAuth(si,l)) \/
(si.client_auth = false /\ ClientLogBeforeClientFinishedDHE_NoAuth(si,l)))
definition !si,pv,l.
ClientLogBeforeClientFinishedDHE_Auth(si,l) <=>
(?si',l',b,a,sign. ClientLogAfterServerHelloDoneDHE(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = (B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_DHE(b) @| CertificateVerifyMsg(si.protocol_version,a,sign))
definition !si,pv,l.
ClientLogBeforeClientFinishedDHE_TryNoAuth(si,l) <=>
(?si',l',l'',b. ClientLogAfterServerHelloDoneDHE(si',l') /\
si'.client_auth = true /\
UpdatesPmsClientID(si',si) /\
B(l) = (B(l') @| CertificateMsg(si.clientID))
@| ClientKeyExchangeMsg_DHE(b))
definition !si,pv,l.
ClientLogBeforeClientFinishedDHE_NoAuth(si,l) <=>
(?si',l',b. ClientLogAfterServerHelloDoneDHE(si',l') /\
si'.client_auth = false /\
UpdatesPmsClientID(si',si) /\
B(l) = B(l') @| ClientKeyExchangeMsg_DHE(b))
predicate ClientLogBeforeClientFinished of SessionInfo * log
definition
!si,l. ClientLogBeforeClientFinished(si,l) <=>
(ClientLogBeforeClientFinishedRSA(si,l) \/
ClientLogBeforeClientFinishedDHE(si,l))
predicate ClientLogBeforeServerFinished of SessionInfo * log
definition !si,l.
ClientLogBeforeServerFinished(si,l) <=>
(?l',cvd. ClientLogBeforeClientFinished(si,l') /\
B(l) = B(l') @| ClientFinishedMsg(cvd))
(* resumption log predicates *)
predicate ServerLogBeforeServerFinishedResume of abbrInfo * SessionInfo * log
definition !ai,si,l.
ServerLogBeforeServerFinishedResume(ai,si,l) <=>
(?cpv,csl,cml,ex1,ex2,ctl,sal,nl,csid.
B(l) = (ClientHelloMsg(cpv,ai.abbr_crand,csid,csl,cml,ex1) @|
(ServerHelloMsg(si.protocol_version,ai.abbr_srand,si.sessionID,si.cipher_suite,si.compression,ex2))))
predicate ServerLogBeforeClientFinishedResume of abbrInfo * SessionInfo * log
definition !ai,si,l.
ServerLogBeforeClientFinishedResume(ai,si,l) <=>
(?l',svd. ServerLogBeforeServerFinishedResume(ai,si,l') /\
B(l) = B(l') @| ServerFinishedMsg(svd))
predicate ClientLogBeforeServerFinishedResume of abbrInfo * SessionInfo * log
definition !ai,si,l.
ClientLogBeforeServerFinishedResume(ai,si,l) <=>
(?l',ex2. ClientLogBeforeServerHello(ai.abbr_crand,l') /\
B(l) = B(l') @|
ServerHelloMsg(si.protocol_version,ai.abbr_srand,si.sessionID,si.cipher_suite,si.compression,ex2))
predicate ClientLogBeforeClientFinishedResume of abbrInfo * SessionInfo * log
definition !ai,si,l.
ClientLogBeforeClientFinishedResume(ai,si,l) <=>
(?l',svd. ClientLogBeforeServerFinishedResume(ai,si,l') /\
B(l) = B(l') @| ServerFinishedMsg(svd))
(* -------------------------------------------------------------------- *)
ask !si,si',t. ClientLogBeforeCertificateVerifyRSA_Auth(si,t) /\
ServerLogBeforeClientCertificateVerifyRSA(si',t) =>
UpdatesClientSigAlg(si,si')
ask !si,si',t. ClientLogBeforeCertificateVerifyDHE_Auth(si,t) /\
ServerLogBeforeClientCertificateVerifyDHE(si',t) =>
UpdatesClientSigAlg(si,si')
ask !si,si',t. ClientLogBeforeClientFinished(si,t) /\
ServerLogBeforeClientFinished(si',t) =>
si = si'
ask !si,si',t. ClientLogBeforeServerFinished(si,t) /\
ServerLogBeforeServerFinished(si',t) =>
si = si'
ask !ai,si,ai',si',t.
ClientLogBeforeClientFinishedResume(ai,si,t) /\
ServerLogBeforeClientFinishedResume(ai',si',t) =>
(ai.abbr_crand = ai'.abbr_crand /\
ai.abbr_srand = ai'.abbr_srand /\
si.sessionID = si'.sessionID)
ask !ai,si,ai',si',t.
ClientLogBeforeServerFinishedResume(ai,si,t) /\
ServerLogBeforeServerFinishedResume(ai',si',t) =>
(ai.abbr_crand = ai'.abbr_crand /\
ai.abbr_srand = ai'.abbr_srand /\
si.sessionID = si'.sessionID)
ask !cr,sr,p,g,gs,cr',sr',p',g',gs',t.
B(t) = B(cr) @| B(sr) @| DHEParamBytes(p,g,gs) /\
Length(cr) = 32 /\
Length(sr) = 32 /\
B(t) = B(cr') @| B(sr') @| DHEParamBytes(p',g',gs') /\
Length(cr') = 32 /\
Length(sr') = 32 =>
(cr = cr' /\ sr = sr' /\ p = p' /\ g = g' /\ gs = gs')
(* disjointness rules *)
ask !si,si',t. ClientLogBeforeCertificateVerifyRSA_Auth(si,t) /\
ServerLogBeforeClientCertificateVerifyDHE(si',t) => false
ask !si,si',t. ClientLogBeforeCertificateVerifyDHE_Auth(si,t) /\
ServerLogBeforeClientCertificateVerifyRSA(si',t) => false
ask !si,t,cr,sr,p,g,gs. ServerLogBeforeClientCertificateVerifyRSA(si,t) /\
Length(cr) = 32 /\ Length(sr) = 32 /\
B(t) = B(cr) @| B(sr) @| DHEParamBytes(p,g,gs) => false
ask !si,t,cr,sr,p,g,gs. ServerLogBeforeClientCertificateVerifyDHE(si,t) /\
Length(cr) = 32 /\ Length(sr) = 32 /\
B(t) = B(cr) @| B(sr) @| DHEParamBytes(p,g,gs) => false
ask !si,t,cr,sr,p,g,gs. ClientLogBeforeCertificateVerifyDHE_Auth(si,t) /\
Length(cr) = 32 /\ Length(sr) = 32 /\
B(t) = B(cr) @| B(sr) @| DHEParamBytes(p,g,gs) => false
ask !si,t,cr,sr,p,g,gs. ClientLogBeforeCertificateVerifyRSA_Auth(si,t) /\
Length(cr) = 32 /\ Length(sr) = 32 /\
B(t) = B(cr) @| B(sr) @| DHEParamBytes(p,g,gs) => false
ask !si,ai,si',t. ClientLogBeforeClientFinished(si,t) /\
ServerLogBeforeClientFinishedResume(ai,si',t) => false
ask !si,ai,si',t. ClientLogBeforeServerFinished(si,t) /\
ServerLogBeforeServerFinishedResume(ai,si',t) => false
ask !si,ai,si',t. ServerLogBeforeClientFinished(si,t) /\
ClientLogBeforeClientFinishedResume(ai,si',t) => false
ask !si,ai,si',t. ServerLogBeforeServerFinished(si,t) /\
ClientLogBeforeServerFinishedResume(ai,si',t) => false
(* -------------------------------------------------------------------- *)
predicate HasHTMessage of HandshakeType * cbytes
definition !ht. HasHTMessage(ht, [||]) <=> false
definition !ht,htd,data,l. HasHTMessage(ht, l @| MessageBytes(htd,data)) <=> (ht = htd \/ HasHTMessage(ht,l))
(* -------------------------------------------------------------------- *)
ask !htd,data. [||] @| MessageBytes(htd,data) = MessageBytes(htd,data)
ask !ht,htd,data.