-(*********************************************************************************************************************************)
-(* NaturalDeductionToLatex: rendering natural deduction proofs as LaTeX code *)
-(*********************************************************************************************************************************)
-
-Generalizable All Variables.
-Require Import Preamble.
-Require Import General.
-Require Import Coq.Strings.Ascii.
-Require Import Coq.Strings.String.
-Require Import NaturalDeduction.
-
-Section ToLatex.
-
- Context {Judgment : Type}.
- Context {Rule : forall (hypotheses:Tree ??Judgment)(conclusion:Tree ??Judgment), Type}.
- Context {JudgmentToLatexMath : ToLatexMath Judgment}.
- Context {RuleToLatexMath : forall h c, ToLatexMath (Rule h c)}.
-
- Open Scope string_scope.
-
- Definition judgments2latex (j:Tree ??Judgment) := treeToLatexMath (mapOptionTree toLatexMath j).
-
- Definition eolL : LatexMath := rawLatexMath eol.
-
- (* invariant: each proof shall emit its hypotheses visibly, except nd_id0 *)
- Section SCND_toLatex.
-
- (* indicates which rules should be hidden (omitted) from the rendered proof; useful for structural operations *)
- Context (hideRule : forall h c (r:Rule h c), bool).
-
- Fixpoint SCND_toLatexMath {h}{c}(pns:SCND(Rule:=Rule) h c) : LatexMath :=
- match pns with
- | scnd_branch ht c1 c2 pns1 pns2 => SCND_toLatexMath pns1 +++ rawLatexMath " \hspace{1cm} " +++ SCND_toLatexMath pns2
- | scnd_weak c => rawLatexMath ""
- | scnd_comp ht ct c pns rule => if hideRule _ _ rule
- then SCND_toLatexMath pns
- else rawLatexMath "\trfrac["+++ toLatexMath rule +++ rawLatexMath "]{" +++ eolL +++
- SCND_toLatexMath pns +++ rawLatexMath "}{" +++ eolL +++
- toLatexMath c +++ rawLatexMath "}" +++ eolL
- end.
- End SCND_toLatex.
-
- (* this is a work-in-progress; please use SCND_toLatexMath for now *)
- Fixpoint nd_toLatexMath {h}{c}(nd:@ND _ Rule h c)(indent:string) :=
- match nd with
- | nd_id0 => rawLatexMath indent +++
- rawLatexMath "% nd_id0 " +++ eolL
- | nd_id1 h' => rawLatexMath indent +++
- rawLatexMath "% nd_id1 "+++ judgments2latex h +++ eolL
- | nd_weak h' => rawLatexMath indent +++
- rawLatexMath "\inferrule*[Left=ndWeak]{" +++ toLatexMath h' +++ rawLatexMath "}{ }" +++ eolL
- | nd_copy h' => rawLatexMath indent +++
- rawLatexMath "\inferrule*[Left=ndCopy]{"+++judgments2latex h+++
- rawLatexMath "}{"+++judgments2latex c+++rawLatexMath "}" +++ eolL
- | nd_prod h1 h2 c1 c2 pf1 pf2 => rawLatexMath indent +++
- rawLatexMath "% prod " +++ eolL +++
- rawLatexMath indent +++
- rawLatexMath "\begin{array}{c c}" +++ eolL +++
- (nd_toLatexMath pf1 (" "+++indent)) +++
- rawLatexMath indent +++
- rawLatexMath " & " +++ eolL +++
- (nd_toLatexMath pf2 (" "+++indent)) +++
- rawLatexMath indent +++
- rawLatexMath "\end{array}"
- | nd_comp h m c pf1 pf2 => rawLatexMath indent +++
- rawLatexMath "% comp " +++ eolL +++
- rawLatexMath indent +++
- rawLatexMath "\begin{array}{c}" +++ eolL +++
- (nd_toLatexMath pf1 (" "+++indent)) +++
- rawLatexMath indent +++
- rawLatexMath " \\ " +++ eolL +++
- (nd_toLatexMath pf2 (" "+++indent)) +++
- rawLatexMath indent +++
- rawLatexMath "\end{array}"
- | nd_cancell a => rawLatexMath indent +++
- rawLatexMath "% nd-cancell " +++ (judgments2latex a) +++ eolL
- | nd_cancelr a => rawLatexMath indent +++
- rawLatexMath "% nd-cancelr " +++ (judgments2latex a) +++ eolL
- | nd_llecnac a => rawLatexMath indent +++
- rawLatexMath "% nd-llecnac " +++ (judgments2latex a) +++ eolL
- | nd_rlecnac a => rawLatexMath indent +++
- rawLatexMath "% nd-rlecnac " +++ (judgments2latex a) +++ eolL
- | nd_assoc a b c => rawLatexMath ""
- | nd_cossa a b c => rawLatexMath ""
- | nd_rule h c r => toLatexMath r
- end.
-
-End ToLatex.