Is there anything in the literature about $2k$-nary infix grammars, in particular easy validity and parsing schemes?$L=G_1,2$ are context free grammars, and the size of $L(G_1) cup L(G_2) $is a prime$ in R$?

Different meanings of こわい

Is this draw by repetition?

Why didn't Boeing produce its own regional jet?

Why is the sentence "Das ist eine Nase" correct?

meaning of 腰を落としている

OP Amp not amplifying audio signal

Why is it a bad idea to hire a hitman to eliminate most corrupt politicians?

What is the opposite of "eschatology"?

What do you call someone who asks many questions?

How exploitable/balanced is this homebrew spell: Spell Permanency?

Is there an online compendium of Rav Moshe teshuvos in English that exists?

What is the most common color to indicate the input-field is disabled?

Is there an expression that means doing something right before you will need it rather than doing it in case you might need it?

Can a virus destroy the BIOS of a modern computer?

Where would I need my direct neural interface to be implanted?

What are the G forces leaving Earth orbit?

ssTTsSTtRrriinInnnnNNNIiinngg

How can a day be of 24 hours?

Could the museum Saturn V's be refitted for one more flight?

Is it "common practice in Fourier transform spectroscopy to multiply the measured interferogram by an apodizing function"? If so, why?

Is it inappropriate for a student to attend their mentor's dissertation defense?

How to prevent "they're falling in love" trope

What's the meaning of "Sollensaussagen"?

What Exploit Are These User Agents Trying to Use?



Is there anything in the literature about $2k$-nary infix grammars, in particular easy validity and parsing schemes?


$L=langle G_1,G_2 rangle in R$?













0












$begingroup$


Suppose $k$ is a positive integer: I'm working with the $2k$-nary infix grammar
$$
S to mathrmopd | SSldots S mathrmopr SSldots S,
$$

where there are $k$ $S$s in each side of the $mathrmopr$.



This is a CFG, so the rich theory of CFG's and PDA's applies, and it's also obvious that the grammar is ambiguous as is (without parentheses or precedence rules). But far more simplistically --



I have found a very easy algorithm involving just counting how many $mathrmopd$s are in between pairs of $mathrmopr$s to validate expressions in the language and which provides a parse for valid expressions.



Is this result new and/or interesting?










share|cite|improve this question











$endgroup$
















    0












    $begingroup$


    Suppose $k$ is a positive integer: I'm working with the $2k$-nary infix grammar
    $$
    S to mathrmopd | SSldots S mathrmopr SSldots S,
    $$

    where there are $k$ $S$s in each side of the $mathrmopr$.



    This is a CFG, so the rich theory of CFG's and PDA's applies, and it's also obvious that the grammar is ambiguous as is (without parentheses or precedence rules). But far more simplistically --



    I have found a very easy algorithm involving just counting how many $mathrmopd$s are in between pairs of $mathrmopr$s to validate expressions in the language and which provides a parse for valid expressions.



    Is this result new and/or interesting?










    share|cite|improve this question











    $endgroup$














      0












      0








      0





      $begingroup$


      Suppose $k$ is a positive integer: I'm working with the $2k$-nary infix grammar
      $$
      S to mathrmopd | SSldots S mathrmopr SSldots S,
      $$

      where there are $k$ $S$s in each side of the $mathrmopr$.



      This is a CFG, so the rich theory of CFG's and PDA's applies, and it's also obvious that the grammar is ambiguous as is (without parentheses or precedence rules). But far more simplistically --



      I have found a very easy algorithm involving just counting how many $mathrmopd$s are in between pairs of $mathrmopr$s to validate expressions in the language and which provides a parse for valid expressions.



      Is this result new and/or interesting?










      share|cite|improve this question











      $endgroup$




      Suppose $k$ is a positive integer: I'm working with the $2k$-nary infix grammar
      $$
      S to mathrmopd | SSldots S mathrmopr SSldots S,
      $$

      where there are $k$ $S$s in each side of the $mathrmopr$.



      This is a CFG, so the rich theory of CFG's and PDA's applies, and it's also obvious that the grammar is ambiguous as is (without parentheses or precedence rules). But far more simplistically --



      I have found a very easy algorithm involving just counting how many $mathrmopd$s are in between pairs of $mathrmopr$s to validate expressions in the language and which provides a parse for valid expressions.



      Is this result new and/or interesting?







      context-free-grammar






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Mar 20 at 20:02









      Daniele Tampieri

      2,65221022




      2,65221022










      asked Mar 20 at 18:20









      Steven MinskerSteven Minsker

      11




      11




















          0






          active

          oldest

          votes












          Your Answer





          StackExchange.ifUsing("editor", function ()
          return StackExchange.using("mathjaxEditing", function ()
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          );
          );
          , "mathjax-editing");

          StackExchange.ready(function()
          var channelOptions =
          tags: "".split(" "),
          id: "69"
          ;
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function()
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled)
          StackExchange.using("snippets", function()
          createEditor();
          );

          else
          createEditor();

          );

          function createEditor()
          StackExchange.prepareEditor(
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader:
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          ,
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          );



          );













          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3155825%2fis-there-anything-in-the-literature-about-2k-nary-infix-grammars-in-particula%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes















          draft saved

          draft discarded
















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid


          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.

          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3155825%2fis-there-anything-in-the-literature-about-2k-nary-infix-grammars-in-particula%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          How should I support this large drywall patch? Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How do I cover large gaps in drywall?How do I keep drywall around a patch from crumbling?Can I glue a second layer of drywall?How to patch long strip on drywall?Large drywall patch: how to avoid bulging seams?Drywall Mesh Patch vs. Bulge? To remove or not to remove?How to fix this drywall job?Prep drywall before backsplashWhat's the best way to fix this horrible drywall patch job?Drywall patching using 3M Patch Plus Primer

          random experiment with two different functions on unit interval Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Random variable and probability space notionsRandom Walk with EdgesFinding functions where the increase over a random interval is Poisson distributedNumber of days until dayCan an observed event in fact be of zero probability?Unit random processmodels of coins and uniform distributionHow to get the number of successes given $n$ trials , probability $P$ and a random variable $X$Absorbing Markov chain in a computer. Is “almost every” turned into always convergence in computer executions?Stopped random walk is not uniformly integrable

          Lowndes Grove History Architecture References Navigation menu32°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661132°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661178002500"National Register Information System"Historic houses of South Carolina"Lowndes Grove""+32° 48' 6.00", −79° 57' 58.00""Lowndes Grove, Charleston County (260 St. Margaret St., Charleston)""Lowndes Grove"The Charleston ExpositionIt Happened in South Carolina"Lowndes Grove (House), Saint Margaret Street & Sixth Avenue, Charleston, Charleston County, SC(Photographs)"Plantations of the Carolina Low Countrye