proper treatment of variables with the same name, but different sorts/types: this routinely happens in HOL Light (see also 0e2f019477e2), as well as theory "HOL-Algebra.Algebraic_Closure_Type" (line 77);
(* Title: HOL/HOLCF/IOA/NTP/Spec.thy
Author: Tobias Nipkow & Konrad Slind
*)
section \<open>The specification of reliable transmission\<close>
theory Spec
imports IOA.IOA Action
begin
definition
spec_sig :: "'m action signature" where
sig_def: "spec_sig = (\<Union>m.{S_msg(m)},
\<Union>m.{R_msg(m)},
{})"
definition
spec_trans :: "('m action, 'm list)transition set" where
trans_def: "spec_trans =
{tr. let s = fst(tr);
t = snd(snd(tr))
in
case fst(snd(tr))
of
S_msg(m) \<Rightarrow> t = s@[m] |
R_msg(m) \<Rightarrow> s = (m#t) |
S_pkt(pkt) \<Rightarrow> False |
R_pkt(pkt) \<Rightarrow> False |
S_ack(b) \<Rightarrow> False |
R_ack(b) \<Rightarrow> False |
C_m_s \<Rightarrow> False |
C_m_r \<Rightarrow> False |
C_r_s \<Rightarrow> False |
C_r_r(m) \<Rightarrow> False}"
definition
spec_ioa :: "('m action, 'm list)ioa" where
ioa_def: "spec_ioa = (spec_sig, {[]}, spec_trans,{},{})"
end