For HOL Light I've got a tool called Tactician that would be ideal for that:
http://www.proof-technologies.com/tactician/ but it doesn't work for HOL4. One day I hope to port it, but that's unlikely to be done in the near future. Mark. on 27/11/15 8:20 AM, Ada <ada.k...@qq.com> wrote: > Hey guys, > > I am learning to use HOL. Here is some code. > > load "abs_tools"; > > open abs_tools; > val _ = type_abbrev ("num_field", ``:complex -> bool``); > (* ------------------------------------------------------------------ *) > (* Definition of number field. *) > (* ------------------------------------------------------------------ *) > > val s = ``s : num_field``; > > val nf_carrier = ``s SUBSET univ(:complex) /\ s <> {}:complex -> bool``; > val nf_constant = ``0c IN s /\ 1c IN s``; > val nf_operation = ``!a:complex b:complex. a IN s /\ b IN s > ==> (a+b IN s) /\ (a-b IN s) /\ > (a*b IN s) > /\ (if a <> 0 then b/a IN s > else a = 0c)``; > > val is_num_field_def = Define ` > num_field ^s = > ^nf_carrier > /\ ^nf_constant > /\ ^nf_operation `; > (* We work on an abstract number field s *) > > val _ = set_assums [ ``num_field ^s`` ]; > > (* prove the coditions of number field *) > > val nf_proj_tac = > > POP_ASSUM MP_TAC THEN RW_TAC arith_ss [is_num_field_def] THEN STRIP_TAC; > val carrier = > > asm_store_thm("carrier",nf_carrier,nf_proj_tac); > val constant = > > asm_store_thm("constant",nf_constant,nf_proj_tac); > val operation = > asm_store_thm("operation",nf_operation,nf_proj_tac); > > Now, I want to write the prove in another way. For example, how to > transform > > "val carrier = > > asm_store_thm("carrier",nf_carrier,nf_proj_tac); " > > into the form of > > "g(...) > e(...) > e(...) > " > Thanks! --Wish. > > > ---------------------------------------- > > ---------------------------------------------------------------------------- > -- > > > > ---------------------------------------- > _______________________________________________ > hol-info mailing list > hol-info@lists.sourceforge.net > https://lists.sourceforge.net/lists/listinfo/hol-info > > > ------------------------------------------------------------------------------ _______________________________________________ hol-info mailing list hol-info@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/hol-info