products/sources/formale Sprachen/Isabelle/HOL/HOLCF/IOA/NTP image not shown  

Quellcode-Bibliothek

© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: Receiver.thy   Sprache: Isabelle

Original von: Isabelle©

(*  Title:      HOL/HOLCF/IOA/NTP/Receiver.thy
    Author:     Tobias Nipkow & Konrad Slind
*)


section \<open>The implementation: receiver\<close>

theory Receiver
imports IOA.IOA Action
begin

type_synonym

'm receiver_state
"'m list * bool multiset * 'm packet multiset * bool * bool"
(* messages  #replies        #received            header mode *)

definition rq :: "'m receiver_state => 'm list" where "rq == fst"
definition rsent :: "'m receiver_state => bool multiset" where "rsent == fst \ snd"
definition rrcvd :: "'m receiver_state => 'm packet multiset" where "rrcvd == fst \ snd \ snd"
definition rbit :: "'m receiver_state => bool" where "rbit == fst \ snd \ snd \ snd"
definition rsending :: "'m receiver_state => bool" where "rsending == snd \ snd \ snd \ snd"

definition
  receiver_asig :: "'m action signature" where
  "receiver_asig =
   (UN pkt. {R_pkt(pkt)},
    (UN m. {R_msg(m)}) Un (UN b. {S_ack(b)}),
    insert C_m_r (UN m. {C_r_r(m)}))"

definition
  receiver_trans:: "('m action, 'm receiver_state)transition set" where
"receiver_trans =
 {tr. let s = fst(tr);
          t = snd(snd(tr))
      in
      case fst(snd(tr))
      of
      S_msg(m) => False |
      R_msg(m) => rq(s) = (m # rq(t))   &
                  rsent(t)=rsent(s)     &
                  rrcvd(t)=rrcvd(s)     &
                  rbit(t)=rbit(s)       &
                  rsending(t)=rsending(s) |
      S_pkt(pkt) => False |
      R_pkt(pkt) => rq(t) = rq(s)                        &
                       rsent(t) = rsent(s)                  &
                       rrcvd(t) = addm (rrcvd s) pkt        &
                       rbit(t) = rbit(s)                    &
                       rsending(t) = rsending(s) |
      S_ack(b) => b = rbit(s)                        &
                     rq(t) = rq(s)                      &
                     rsent(t) = addm (rsent s) (rbit s) &
                     rrcvd(t) = rrcvd(s)                &
                     rbit(t)=rbit(s)                    &
                     rsending(s)                        &
                     rsending(t) |
      R_ack(b) => False |
      C_m_s => False |
 C_m_r => count (rsent s) (~rbit s) < countm (rrcvd s) (%y. hdr(y)=rbit(s)) &
             rq(t) = rq(s)                        &
             rsent(t)=rsent(s)                    &
             rrcvd(t)=rrcvd(s)                    &
             rbit(t)=rbit(s)                      &
             rsending(s)                          &
             ~rsending(t) |
    C_r_s => False |
 C_r_r(m) => count (rsent s) (rbit s) <= countm (rrcvd s) (%y. hdr(y)=rbit(s)) &
             count (rsent s) (~rbit s) < count (rrcvd s) (rbit(s),m) &
             rq(t) = rq(s)@[m]                         &
             rsent(t)=rsent(s)                         &
             rrcvd(t)=rrcvd(s)                         &
             rbit(t) = (~rbit(s))                      &
             ~rsending(s)                              &
             rsending(t)}"

definition
  receiver_ioa  :: "('m action, 'm receiver_state)ioa" where
  "receiver_ioa =
    (receiver_asig, {([],{|},{|},False,False)}, receiver_trans,{},{})"

lemma in_receiver_asig:
  "S_msg(m) \ actions(receiver_asig)"
  "R_msg(m) \ actions(receiver_asig)"
  "S_pkt(pkt) \ actions(receiver_asig)"
  "R_pkt(pkt) \ actions(receiver_asig)"
  "S_ack(b) \ actions(receiver_asig)"
  "R_ack(b) \ actions(receiver_asig)"
  "C_m_s \ actions(receiver_asig)"
  "C_m_r \ actions(receiver_asig)"
  "C_r_s \ actions(receiver_asig)"
  "C_r_r(m) \ actions(receiver_asig)"
  by (simp_all add: receiver_asig_def actions_def asig_projections)

lemmas receiver_projections = rq_def rsent_def rrcvd_def rbit_def rsending_def

end

¤ Dauer der Verarbeitung: 0.17 Sekunden  (vorverarbeitet)  ¤





Download des
Quellennavigators
Download des
sprechenden Kalenders

in der Quellcodebibliothek suchen




Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.


Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.


Bot Zugriff