Hoare triple notation









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The recent discussion of set notations re-motivates me to ask if anybody (Tej?) has a clever idea for getting Coq to accept a standard notation for Hoare triples -- something like this:



Notation " P c Q " :=
(hoare_triple P c Q)
(at level 0, P at level 99, c at level 99, Q at level 99)
: Hoare_scope.


Coq's error is "Error: A notation must include at least one symbol." Which I don't understand in light of the fact that



Notation " x " := (x) (at level 0, x at level 99).


does work.



Any advice?










share|improve this question

























    up vote
    2
    down vote

    favorite












    The recent discussion of set notations re-motivates me to ask if anybody (Tej?) has a clever idea for getting Coq to accept a standard notation for Hoare triples -- something like this:



    Notation " P c Q " :=
    (hoare_triple P c Q)
    (at level 0, P at level 99, c at level 99, Q at level 99)
    : Hoare_scope.


    Coq's error is "Error: A notation must include at least one symbol." Which I don't understand in light of the fact that



    Notation " x " := (x) (at level 0, x at level 99).


    does work.



    Any advice?










    share|improve this question























      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      The recent discussion of set notations re-motivates me to ask if anybody (Tej?) has a clever idea for getting Coq to accept a standard notation for Hoare triples -- something like this:



      Notation " P c Q " :=
      (hoare_triple P c Q)
      (at level 0, P at level 99, c at level 99, Q at level 99)
      : Hoare_scope.


      Coq's error is "Error: A notation must include at least one symbol." Which I don't understand in light of the fact that



      Notation " x " := (x) (at level 0, x at level 99).


      does work.



      Any advice?










      share|improve this question













      The recent discussion of set notations re-motivates me to ask if anybody (Tej?) has a clever idea for getting Coq to accept a standard notation for Hoare triples -- something like this:



      Notation " P c Q " :=
      (hoare_triple P c Q)
      (at level 0, P at level 99, c at level 99, Q at level 99)
      : Hoare_scope.


      Coq's error is "Error: A notation must include at least one symbol." Which I don't understand in light of the fact that



      Notation " x " := (x) (at level 0, x at level 99).


      does work.



      Any advice?







      coq






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 9 at 19:43









      Benjamin Pierce

      23918




      23918






















          1 Answer
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          up vote
          2
          down vote



          accepted










          I'd recommend using another symbol somewhere to make this parseable. I've seen Adam Chlipala use Notation " P c Q " for example. You can also define P c Q as a printing-only notation, although I imagine that's less useful and potentially confusing to new users.



          Curly braces are special; some of the ways they're special are documented in the manual (scroll down to the third note), but I confess I don't really understand that note beyond "here be dragons, ask Hugo Herbelin".



          I can tell you mechanically why you're getting the error while " x " works:



          • curly braces don't count as symbols, because of a special remove_curly_brackets function

          • if the notation is already in the parsing table, it doesn't need to include new symbols

          This is checked in metasyntax.ml, which I found by looking for how the error message is thrown. You can also confirm what the Coq grammar is using Print Grammar constr (this is also how you figure out what level everything actually is).






          share|improve this answer




















          • Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
            – Benjamin Pierce
            Nov 10 at 0:21










          Your Answer






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          1 Answer
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          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          2
          down vote



          accepted










          I'd recommend using another symbol somewhere to make this parseable. I've seen Adam Chlipala use Notation " P c Q " for example. You can also define P c Q as a printing-only notation, although I imagine that's less useful and potentially confusing to new users.



          Curly braces are special; some of the ways they're special are documented in the manual (scroll down to the third note), but I confess I don't really understand that note beyond "here be dragons, ask Hugo Herbelin".



          I can tell you mechanically why you're getting the error while " x " works:



          • curly braces don't count as symbols, because of a special remove_curly_brackets function

          • if the notation is already in the parsing table, it doesn't need to include new symbols

          This is checked in metasyntax.ml, which I found by looking for how the error message is thrown. You can also confirm what the Coq grammar is using Print Grammar constr (this is also how you figure out what level everything actually is).






          share|improve this answer




















          • Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
            – Benjamin Pierce
            Nov 10 at 0:21














          up vote
          2
          down vote



          accepted










          I'd recommend using another symbol somewhere to make this parseable. I've seen Adam Chlipala use Notation " P c Q " for example. You can also define P c Q as a printing-only notation, although I imagine that's less useful and potentially confusing to new users.



          Curly braces are special; some of the ways they're special are documented in the manual (scroll down to the third note), but I confess I don't really understand that note beyond "here be dragons, ask Hugo Herbelin".



          I can tell you mechanically why you're getting the error while " x " works:



          • curly braces don't count as symbols, because of a special remove_curly_brackets function

          • if the notation is already in the parsing table, it doesn't need to include new symbols

          This is checked in metasyntax.ml, which I found by looking for how the error message is thrown. You can also confirm what the Coq grammar is using Print Grammar constr (this is also how you figure out what level everything actually is).






          share|improve this answer




















          • Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
            – Benjamin Pierce
            Nov 10 at 0:21












          up vote
          2
          down vote



          accepted







          up vote
          2
          down vote



          accepted






          I'd recommend using another symbol somewhere to make this parseable. I've seen Adam Chlipala use Notation " P c Q " for example. You can also define P c Q as a printing-only notation, although I imagine that's less useful and potentially confusing to new users.



          Curly braces are special; some of the ways they're special are documented in the manual (scroll down to the third note), but I confess I don't really understand that note beyond "here be dragons, ask Hugo Herbelin".



          I can tell you mechanically why you're getting the error while " x " works:



          • curly braces don't count as symbols, because of a special remove_curly_brackets function

          • if the notation is already in the parsing table, it doesn't need to include new symbols

          This is checked in metasyntax.ml, which I found by looking for how the error message is thrown. You can also confirm what the Coq grammar is using Print Grammar constr (this is also how you figure out what level everything actually is).






          share|improve this answer












          I'd recommend using another symbol somewhere to make this parseable. I've seen Adam Chlipala use Notation " P c Q " for example. You can also define P c Q as a printing-only notation, although I imagine that's less useful and potentially confusing to new users.



          Curly braces are special; some of the ways they're special are documented in the manual (scroll down to the third note), but I confess I don't really understand that note beyond "here be dragons, ask Hugo Herbelin".



          I can tell you mechanically why you're getting the error while " x " works:



          • curly braces don't count as symbols, because of a special remove_curly_brackets function

          • if the notation is already in the parsing table, it doesn't need to include new symbols

          This is checked in metasyntax.ml, which I found by looking for how the error message is thrown. You can also confirm what the Coq grammar is using Print Grammar constr (this is also how you figure out what level everything actually is).







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Nov 9 at 20:59









          Tej Chajed

          2,675715




          2,675715











          • Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
            – Benjamin Pierce
            Nov 10 at 0:21
















          • Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
            – Benjamin Pierce
            Nov 10 at 0:21















          Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
          – Benjamin Pierce
          Nov 10 at 0:21




          Thanks -- that's super helpful. Software Foundations uses PcQ currently, and from this exchange it appears this is a local optimum. My compromise is that when I typeset them in HTML I move them closer together so they look a bit like a blackboard-bold single brace.
          – Benjamin Pierce
          Nov 10 at 0:21

















           

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