src/HOL/HOLCF/IOA/NTP/Spec.thy
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(*  Title:      HOL/HOLCF/IOA/NTP/Spec.thy
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    Author:     Tobias Nipkow & Konrad Slind
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*)
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section \<open>The specification of reliable transmission\<close>
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theory Spec
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imports IOA.IOA Action
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begin
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definition
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  spec_sig :: "'m action signature" where
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  sig_def: "spec_sig = (\<Union>m.{S_msg(m)}, 
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                        \<Union>m.{R_msg(m)}, 
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                        {})"
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definition
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  spec_trans :: "('m action, 'm list)transition set" where
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  trans_def: "spec_trans =
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   {tr. let s = fst(tr);                            
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            t = snd(snd(tr))                        
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        in                                          
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        case fst(snd(tr))                           
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        of                                          
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        S_msg(m) \<Rightarrow> t = s@[m]  |                    
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        R_msg(m) \<Rightarrow> s = (m#t)  |                    
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        S_pkt(pkt) \<Rightarrow> False |                    
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        R_pkt(pkt) \<Rightarrow> False |                    
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        S_ack(b) \<Rightarrow> False |                      
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        R_ack(b) \<Rightarrow> False |                      
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        C_m_s \<Rightarrow> False |                            
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        C_m_r \<Rightarrow> False |                            
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        C_r_s \<Rightarrow> False |                            
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        C_r_r(m) \<Rightarrow> False}"
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definition
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  spec_ioa :: "('m action, 'm list)ioa" where
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  ioa_def: "spec_ioa = (spec_sig, {[]}, spec_trans,{},{})"
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end