lean2/library/standard/tools/tactic.lean

----------------------------------------------------------------------------------------------------
-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
----------------------------------------------------------------------------------------------------

import data.string data.num
using string
using num

namespace tactic
-- This is just a trick to embed the 'tactic language' as a
-- Lean expression. We should view 'tactic' as automation
-- that when execute produces a term.
-- builtin_tactic is just a "dummy" for creating the
-- definitions that are actually implemented in C++
inductive tactic : Type :=
| builtin_tactic : tactic
-- Remark the following names are not arbitrary, the tactic module
-- uses them when converting Lean expressions into actual tactic objects.
-- The bultin 'by' construct triggers the process of converting a
-- a term of type 'tactic' into a tactic that sythesizes a term
definition and_then    (t1 t2 : tactic) : tactic := builtin_tactic
definition or_else     (t1 t2 : tactic) : tactic := builtin_tactic
definition append      (t1 t2 : tactic) : tactic := builtin_tactic
definition interleave  (t1 t2 : tactic) : tactic := builtin_tactic
definition par         (t1 t2 : tactic) : tactic := builtin_tactic
definition fixpoint    (f : tactic → tactic) : tactic := builtin_tactic
definition repeat      (t : tactic) : tactic := builtin_tactic
definition at_most     (t : tactic) (k : num)  : tactic := builtin_tactic
definition discard     (t : tactic) (k : num)  : tactic := builtin_tactic
definition focus_at    (t : tactic) (i : num)  : tactic := builtin_tactic
definition try_for     (t : tactic) (ms : num) : tactic := builtin_tactic
definition now         : tactic := builtin_tactic
definition assumption  : tactic := builtin_tactic
definition eassumption : tactic := builtin_tactic
definition state       : tactic := builtin_tactic
definition fail        : tactic := builtin_tactic
definition id          : tactic := builtin_tactic
definition beta        : tactic := builtin_tactic
definition apply       {B : Type} (b : B) : tactic := builtin_tactic
definition unfold      {B : Type} (b : B) : tactic := builtin_tactic
definition exact       {B : Type} (b : B) : tactic := builtin_tactic
definition trace       (s : string) : tactic := builtin_tactic
precedence `;`:200
infixl ; := and_then
notation `!` t:max     := repeat t
-- [ t_1 | ... | t_n ] notation
notation `[` h:100 `|` r:(foldl 100 `|` (e r, or_else r e) h) `]` := r
-- [ t_1 || ... || t_n ] notation
notation `[` h:100 `||` r:(foldl 100 `||` (e r, par r e) h) `]` := r
definition try         (t : tactic) : tactic := [ t | id ]
notation `?` t:max     := try t
definition repeat1     (t : tactic) : tactic := t ; !t
definition focus       (t : tactic) : tactic := focus_at t 0
definition determ      (t : tactic) : tactic := at_most t 1
end tactic