Predicate logic, substitution when using resolutionmethod











up vote
0
down vote

favorite












Formulae F = p(x) ∧ (q(y) ∨ r(z))
substitution = {x := a, y := f(z), z := g(b)}



This example is from a course am having right now. I dont know what I am missing
but can someone explain why y and z are substituted by a function (f(z), g(b)) while x is substituted with a constant (a)?
I cant find the reason in the book, on the recorded lecture or on the classforums, so I guess its really obvious.



Really greatfull for input
/Jonatan










share|cite|improve this question







New contributor




Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
























    up vote
    0
    down vote

    favorite












    Formulae F = p(x) ∧ (q(y) ∨ r(z))
    substitution = {x := a, y := f(z), z := g(b)}



    This example is from a course am having right now. I dont know what I am missing
    but can someone explain why y and z are substituted by a function (f(z), g(b)) while x is substituted with a constant (a)?
    I cant find the reason in the book, on the recorded lecture or on the classforums, so I guess its really obvious.



    Really greatfull for input
    /Jonatan










    share|cite|improve this question







    New contributor




    Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      Formulae F = p(x) ∧ (q(y) ∨ r(z))
      substitution = {x := a, y := f(z), z := g(b)}



      This example is from a course am having right now. I dont know what I am missing
      but can someone explain why y and z are substituted by a function (f(z), g(b)) while x is substituted with a constant (a)?
      I cant find the reason in the book, on the recorded lecture or on the classforums, so I guess its really obvious.



      Really greatfull for input
      /Jonatan










      share|cite|improve this question







      New contributor




      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      Formulae F = p(x) ∧ (q(y) ∨ r(z))
      substitution = {x := a, y := f(z), z := g(b)}



      This example is from a course am having right now. I dont know what I am missing
      but can someone explain why y and z are substituted by a function (f(z), g(b)) while x is substituted with a constant (a)?
      I cant find the reason in the book, on the recorded lecture or on the classforums, so I guess its really obvious.



      Really greatfull for input
      /Jonatan







      substitution






      share|cite|improve this question







      New contributor




      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question







      New contributor




      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question






      New contributor




      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked yesterday









      Jonatan Helenason

      1




      1




      New contributor




      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Jonatan Helenason is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.



























          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',
          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
          });


          }
          });






          Jonatan Helenason is a new contributor. Be nice, and check out our Code of Conduct.










           

          draft saved


          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3004915%2fpredicate-logic-substitution-when-using-resolutionmethod%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          Jonatan Helenason is a new contributor. Be nice, and check out our Code of Conduct.










           

          draft saved


          draft discarded


















          Jonatan Helenason is a new contributor. Be nice, and check out our Code of Conduct.













          Jonatan Helenason is a new contributor. Be nice, and check out our Code of Conduct.












          Jonatan Helenason is a new contributor. Be nice, and check out our Code of Conduct.















           


          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3004915%2fpredicate-logic-substitution-when-using-resolutionmethod%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

          Can a sorcerer learn a 5th-level spell early by creating spell slots using the Font of Magic feature?

          ts Property 'filter' does not exist on type '{}'

          mat-slide-toggle shouldn't change it's state when I click cancel in confirmation window