1 (*********************************************************************************************************************************)
2 (* NaturalDeductionToLatex: rendering natural deduction proofs as LaTeX code *)
3 (*********************************************************************************************************************************)
5 Generalizable All Variables.
6 Require Import Preamble.
7 Require Import General.
8 Require Import Coq.Strings.Ascii.
9 Require Import Coq.Strings.String.
10 Require Import NaturalDeduction.
14 Context {Judgment : Type}.
15 Context {Rule : forall (hypotheses:Tree ??Judgment)(conclusion:Tree ??Judgment), Type}.
16 Context {JudgmentToLatexMath : ToLatexMath Judgment}.
17 Context {RuleToLatexMath : forall h c, ToLatexMath (Rule h c)}.
19 Open Scope string_scope.
21 Definition judgments2latex (j:Tree ??Judgment) := treeToLatexMath (mapOptionTree toLatexMath j).
23 Definition eolL : LatexMath := rawLatexMath eol.
25 (* invariant: each proof shall emit its hypotheses visibly, except nd_id0 *)
28 (* indicates which rules should be hidden (omitted) from the rendered proof; useful for structural operations *)
29 Context (hideRule : forall h c (r:Rule h c), bool).
31 Fixpoint SCND_toLatexMath {h}{c}(pns:SCND(Rule:=Rule) h c) : LatexMath :=
33 | scnd_branch ht c1 c2 pns1 pns2 => SCND_toLatexMath pns1 +++ rawLatexMath " \hspace{1cm} " +++ SCND_toLatexMath pns2
34 | scnd_weak c => rawLatexMath ""
35 | scnd_comp ht ct c pns rule => if hideRule _ _ rule
36 then SCND_toLatexMath pns
37 else rawLatexMath "\trfrac["+++ toLatexMath rule +++ rawLatexMath "]{" +++ eolL +++
38 SCND_toLatexMath pns +++ rawLatexMath "}{" +++ eolL +++
39 toLatexMath c +++ rawLatexMath "}" +++ eolL
43 (* this is a work-in-progress; please use SCND_toLatexMath for now *)
44 Fixpoint nd_toLatexMath {h}{c}(nd:@ND _ Rule h c)(indent:string) :=
46 | nd_id0 => rawLatexMath indent +++
47 rawLatexMath "% nd_id0 " +++ eolL
48 | nd_id1 h' => rawLatexMath indent +++
49 rawLatexMath "% nd_id1 "+++ judgments2latex h +++ eolL
50 | nd_weak h' => rawLatexMath indent +++
51 rawLatexMath "\inferrule*[Left=ndWeak]{" +++ toLatexMath h' +++ rawLatexMath "}{ }" +++ eolL
52 | nd_copy h' => rawLatexMath indent +++
53 rawLatexMath "\inferrule*[Left=ndCopy]{"+++judgments2latex h+++
54 rawLatexMath "}{"+++judgments2latex c+++rawLatexMath "}" +++ eolL
55 | nd_prod h1 h2 c1 c2 pf1 pf2 => rawLatexMath indent +++
56 rawLatexMath "% prod " +++ eolL +++
57 rawLatexMath indent +++
58 rawLatexMath "\begin{array}{c c}" +++ eolL +++
59 (nd_toLatexMath pf1 (" "+++indent)) +++
60 rawLatexMath indent +++
61 rawLatexMath " & " +++ eolL +++
62 (nd_toLatexMath pf2 (" "+++indent)) +++
63 rawLatexMath indent +++
64 rawLatexMath "\end{array}"
65 | nd_comp h m c pf1 pf2 => rawLatexMath indent +++
66 rawLatexMath "% comp " +++ eolL +++
67 rawLatexMath indent +++
68 rawLatexMath "\begin{array}{c}" +++ eolL +++
69 (nd_toLatexMath pf1 (" "+++indent)) +++
70 rawLatexMath indent +++
71 rawLatexMath " \\ " +++ eolL +++
72 (nd_toLatexMath pf2 (" "+++indent)) +++
73 rawLatexMath indent +++
74 rawLatexMath "\end{array}"
75 | nd_cancell a => rawLatexMath indent +++
76 rawLatexMath "% nd-cancell " +++ (judgments2latex a) +++ eolL
77 | nd_cancelr a => rawLatexMath indent +++
78 rawLatexMath "% nd-cancelr " +++ (judgments2latex a) +++ eolL
79 | nd_llecnac a => rawLatexMath indent +++
80 rawLatexMath "% nd-llecnac " +++ (judgments2latex a) +++ eolL
81 | nd_rlecnac a => rawLatexMath indent +++
82 rawLatexMath "% nd-rlecnac " +++ (judgments2latex a) +++ eolL
83 | nd_assoc a b c => rawLatexMath ""
84 | nd_cossa a b c => rawLatexMath ""
85 | nd_rule h c r => toLatexMath r