src/Sequents/S43.thy
changeset 35113 1a0c129bb2e0
parent 30549 d2d7874648bd
child 39159 0dec18004e75
equal deleted inserted replaced
35112:ff6f60e6ab85 35113:1a0c129bb2e0
     1 (*  Title:      Modal/S43.thy
     1 (*  Title:      Modal/S43.thy
     2     ID:         $Id$
       
     3     Author:     Martin Coen
     2     Author:     Martin Coen
     4     Copyright   1991  University of Cambridge
     3     Copyright   1991  University of Cambridge
     5 
     4 
     6 This implements Rajeev Gore's sequent calculus for S43.
     5 This implements Rajeev Gore's sequent calculus for S43.
     7 *)
     6 *)
    12 
    11 
    13 consts
    12 consts
    14   S43pi :: "[seq'=>seq', seq'=>seq', seq'=>seq',
    13   S43pi :: "[seq'=>seq', seq'=>seq', seq'=>seq',
    15              seq'=>seq', seq'=>seq', seq'=>seq'] => prop"
    14              seq'=>seq', seq'=>seq', seq'=>seq'] => prop"
    16 syntax
    15 syntax
    17   "@S43pi" :: "[seq, seq, seq, seq, seq, seq] => prop"
    16   "_S43pi" :: "[seq, seq, seq, seq, seq, seq] => prop"
    18                          ("S43pi((_);(_);(_);(_);(_);(_))" [] 5)
    17                          ("S43pi((_);(_);(_);(_);(_);(_))" [] 5)
    19 
    18 
    20 ML {*
    19 parse_translation {*
    21   val S43pi  = "S43pi";
    20   let
    22   val SS43pi = "@S43pi";
    21     val tr  = seq_tr;
    23 
    22     fun s43pi_tr [s1, s2, s3, s4, s5, s6] =
    24   val tr  = seq_tr;
    23       Const (@{const_syntax S43pi}, dummyT) $ tr s1 $ tr s2 $ tr s3 $ tr s4 $ tr s5 $ tr s6;
       
    24   in [(@{syntax_const "_S43pi"}, s43pi_tr)] end
       
    25 *}
       
    26 
       
    27 print_translation {*
       
    28 let
    25   val tr' = seq_tr';
    29   val tr' = seq_tr';
    26 
    30   fun s43pi_tr' [s1, s2, s3, s4, s5, s6] =
    27   fun s43pi_tr[s1,s2,s3,s4,s5,s6]=
    31     Const(@{syntax_const "_S43pi"}, dummyT) $ tr' s1 $ tr' s2 $ tr' s3 $ tr' s4 $ tr' s5 $ tr' s6;
    28         Const(S43pi,dummyT)$tr s1$tr s2$tr s3$tr s4$tr s5$tr s6;
    32 in [(@{const_syntax S43pi}, s43pi_tr')] end
    29   fun s43pi_tr'[s1,s2,s3,s4,s5,s6] =
       
    30         Const(SS43pi,dummyT)$tr' s1$tr' s2$tr' s3$tr' s4$tr' s5$tr' s6;
       
    31 
       
    32 *}
    33 *}
    33 
       
    34 parse_translation {* [(SS43pi,s43pi_tr)] *}
       
    35 print_translation {* [(S43pi,s43pi_tr')] *}
       
    36 
    34 
    37 axioms
    35 axioms
    38 (* Definition of the star operation using a set of Horn clauses  *)
    36 (* Definition of the star operation using a set of Horn clauses  *)
    39 (* For system S43: gamma * == {[]P | []P : gamma}                *)
    37 (* For system S43: gamma * == {[]P | []P : gamma}                *)
    40 (*                 delta * == {<>P | <>P : delta}                *)
    38 (*                 delta * == {<>P | <>P : delta}                *)