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          • A Tiny Warning Sign
          • About the Prompt
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          • An Example of ACL2 in Use
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          • ACL2 as an Interactive Theorem Prover (cont)
          • A Flying Tour of ACL2
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          • A Walking Tour of ACL2
          • The Theorem that App is Associative
          • The End of the Walking Tour
          • Proving Theorems about Models
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          • About the ACL2 Home Page
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          • The Associativity of App
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          • How To Find Out about ACL2 Functions (cont)
          • A Sketch of How the Rewriter Works
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          • How To Find Out about ACL2 Functions
          • How Long Does It Take to Become an Effective User(Q)
          • The Admission of App
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          • You Must Think about the Use of a Formula as a Rule
          • The WARNING about the Trivial Consequence
          • Guessing the Type of a Newly Admitted Function
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          • What is a Mathematical Logic(Q)
          • Revisiting the Admission of App
          • What is a Mechanical Theorem Prover(Q)
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          • The Falling Body Model
          • Rewrite Rules are Generated from DEFTHM Events
          • A Typical State
          • The Time Taken to do the Associativity of App Proof
          • The Simplification of the Induction Conclusion (Step 1)
          • The Rules used in the Associativity of App Proof
          • Subsumption of Induction Candidates in App Example
          • Other Requirements
          • Models in Engineering
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          • Suggested Inductions in the Associativity of App Example
          • Overview of the Proof of a Trivial Consequence
          • Evaluating App on Sample Input
          • The Induction Step in the App Example
          • Modeling in ACL2
          • The Simplification of the Induction Conclusion (Step 9)
          • The Induction Scheme Selected for the App Example
          • The First Application of the Associativity Rule
          • Overview of the Expansion of ENDP in the Induction Step
          • Flawed Induction Candidates in App Example
          • ACL2 as an Interactive Theorem Prover
          • Using the Associativity of App to Prove a Trivial Consequence
          • The Simplification of the Induction Conclusion (Step 8)
          • The Instantiation of the Induction Scheme
          • The Final Simplification in the Base Case (Step 0)
          • Overview of the Simplification of the Induction Step to T
          • Overview of the Simplification of the Induction Conclusion
          • On the Naming of Subgoals
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          • What is a Mechanical Theorem Prover(Q) (cont)
          • The Simplification of the Induction Conclusion (Step 12)
          • The Simplification of the Induction Conclusion (Step 10)
          • The End of the Flying Tour
          • The Base Case in the App Example
          • The Simplification of the Induction Conclusion (Step 11)
          • The Final Simplification in the Base Case (Step 3)
          • The Expansion of ENDP in the Induction Step (Step 1)
          • The Expansion of ENDP in the Induction Step (Step 0)
          • The End of the Proof of the Associativity of App
          • Overview of the Simplification of the Base Case to T
          • The Summary of the Proof of the Trivial Consequence
          • The Simplification of the Induction Conclusion (Step 7)
          • The Simplification of the Induction Conclusion (Step 6)
          • The Simplification of the Induction Conclusion (Step 5)
          • The Simplification of the Induction Conclusion (Step 4)
          • The Simplification of the Induction Conclusion (Step 2)
          • The Simplification of the Induction Conclusion (Step 0)
          • The Justification of the Induction Scheme
          • The Final Simplification in the Base Case (Step 1)
          • The Expansion of ENDP in the Induction Step (Step 2)
          • Popping out of an Inductive Proof
          • Overview of the Expansion of ENDP in the Base Case
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          • The Q.E.D. Message
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          • The Final Simplification in the Base Case (Step 2)
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How To Find Out about ACL2 Functions (cont)

How To Find Out about ACL2 Functions (cont)

The ACL2 documentation is also available in Emacs, via the ACL2-Doc browser (see ACL2-Doc) , allowing you to explore the hyperlinked documentation in the comfort of a text editor that can also interact with ACL2.

In addition, runtime images of ACL2 have the hyperlinked text as a large ACL2 data structure that can be explored with ACL2's :doc command. If you have ACL2 running, try the command :doc endp.

Another way to find out about ACL2 functions, if you have an ACL2 image available, is to use the command :args which prints the formals, type, and guard of a function symbol.

Of course, the ACL2 documentation can also be printed out as a very long book but we do not recommend that! See the ACL2 Home Page to download the Postscript.

Now let's continue with app.