<commit_before>(*  Title: 	Sequents/Sequents.thy
    ID:         $Id$
    Author: 	<NAME>, Cambridge University Computer Laboratory
    Copyright   1993  University of Cambridge

Classical First-Order Sequent Calculus
*)

Sequents = Pure +

global

types
  o 

arities
  o :: logic


(* Sequences *)

types
 seq'

consts
 SeqO'         :: "[o,seq']=>seq'"
 Seq1'         :: "o=>seq'"
    

(* concrete syntax *)

types
  seq seqobj seqcont


syntax
 SeqEmp         :: "seq"                                ("")
 SeqApp         :: "[seqobj,seqcont] => seq"            ("__")

 SeqContEmp     :: "seqcont"                            ("")
 SeqContApp     :: "[seqobj,seqcont] => seqcont"        (",/ __")
  
 SeqO           :: "o => seqobj"                        ("_")
 SeqId          :: "'a => seqobj"                       ("$_")
 SeqVar         :: "var => seqobj"                      ("$_")

types
    
 single_seqe = "[seq,seqobj] => prop"
 single_seqi = "[seq'=>seq',seq'=>seq'] => prop"<commit_msg>removed the unused SeqVar option<commit_after>(*  Title: 	Sequents/Sequents.thy
    ID:         $Id$
    Author: 	<NAME>, Cambridge University Computer Laboratory
    Copyright   1993  University of Cambridge

Classical First-Order Sequent Calculus
*)

Sequents = Pure +

global

types
  o 

arities
  o :: logic


(* Sequences *)

types
 seq'

consts
 SeqO'         :: "[o,seq']=>seq'"
 Seq1'         :: "o=>seq'"
    

(* concrete syntax *)

types
  seq seqobj seqcont


syntax
 SeqEmp         :: "seq"                                ("")
 SeqApp         :: "[seqobj,seqcont] => seq"            ("__")

 SeqContEmp     :: "seqcont"                            ("")
 SeqContApp     :: "[seqobj,seqcont] => seqcont"        (",/ __")
  
 SeqO           :: "o => seqobj"                        ("_")
 SeqId          :: "'a => seqobj"                       ("$_")

types
    
 single_seqe = "[seq,seqobj] => prop"
 single_seqi = "[seq'=>seq',seq'=>seq'] => prop"
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