(* Title: HOL/IOA/NTP/Abschannel.ML
ID: $Id$
Author: Olaf Mueller
Copyright 1994 TU Muenchen
Derived rules
*)
open Abschannel;
val unfold_renaming =
[srch_asig_def, rsch_asig_def, rsch_ioa_def, srch_ioa_def, ch_ioa_def,
ch_asig_def, srch_actions_def, rsch_actions_def, rename_def, rename_set_def, asig_of_def,
actions_def, srch_trans_def, rsch_trans_def, ch_trans_def,starts_of_def,
trans_of_def] @ asig_projections;
Goal
"S_msg(m) ~: actions(srch_asig) & \
\ R_msg(m) ~: actions(srch_asig) & \
\ S_pkt(pkt) : actions(srch_asig) & \
\ R_pkt(pkt) : actions(srch_asig) & \
\ S_ack(b) ~: actions(srch_asig) & \
\ R_ack(b) ~: actions(srch_asig) & \
\ C_m_s ~: actions(srch_asig) & \
\ C_m_r ~: actions(srch_asig) & \
\ C_r_s ~: actions(srch_asig) & C_r_r(m) ~: actions(srch_asig)";
by (simp_tac (simpset() addsimps unfold_renaming) 1);
qed"in_srch_asig";
Goal
"S_msg(m) ~: actions(rsch_asig) & \
\ R_msg(m) ~: actions(rsch_asig) & \
\ S_pkt(pkt) ~: actions(rsch_asig) & \
\ R_pkt(pkt) ~: actions(rsch_asig) & \
\ S_ack(b) : actions(rsch_asig) & \
\ R_ack(b) : actions(rsch_asig) & \
\ C_m_s ~: actions(rsch_asig) & \
\ C_m_r ~: actions(rsch_asig) & \
\ C_r_s ~: actions(rsch_asig) & \
\ C_r_r(m) ~: actions(rsch_asig)";
by (simp_tac (simpset() addsimps unfold_renaming) 1);
qed"in_rsch_asig";
Goal "srch_ioa = \
\ (srch_asig, {{|}}, srch_trans,srch_wfair,srch_sfair)";
by (simp_tac (simpset() addsimps [srch_asig_def,srch_trans_def, asig_of_def, trans_of_def,
wfair_of_def, sfair_of_def,srch_wfair_def,srch_sfair_def]) 1);
by (simp_tac (simpset() addsimps unfold_renaming) 1);
qed"srch_ioa_thm";
Goal "rsch_ioa = \
\ (rsch_asig, {{|}}, rsch_trans,rsch_wfair,rsch_sfair)";
by (simp_tac (simpset() addsimps [rsch_asig_def,rsch_trans_def, asig_of_def, trans_of_def,
wfair_of_def, sfair_of_def,rsch_wfair_def,rsch_sfair_def]) 1);
by (simp_tac (simpset() addsimps unfold_renaming) 1);
qed"rsch_ioa_thm";