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  • Tactical theorem proving | Twelf
    Logics can be defined in Twelf in such a way that it may not be possible to do proof search by the fixed search strategy of Twelf’s logic programming engine In these cases, tactical theorem provers can be written that may still be able to prove many theorems This article defines two approaches to writing these tactical theorem provers Logic definition When we introduce numbers with
  • POPL Tutorial Sequent vs Natural Deduction - Twelf
    Home of the Twelf programming language Translation: Natural Deduction to Sequent Calculus The following (incomplete) proof establishes that whenever a proposition is true in the natural deduction system, it is derivable as a conclusion in the sequent calculus The cases for top and implication are filled in for you; all that remains is the cases for conjunction The -impI case provides and
  • Solution: proofs about adding even and odd numbers - Twelf
    This page is part of the introduction to proving metatheorems with Twelf Exercise 4 from the part 1 exercises: Prove remaining properties of how evenness and oddness interacts with addition: State and prove the theorem sum-even-odd that shows that the sum of an even and an odd number results in an odd number State and prove a theorem sum-odd-even that shows that the sum of an odd plus an even
  • Twelf without Emacs
    Twelf without Emacs First, you should read up on Twelf with Emacs, to understand how Twelf programs are divided up into files and how one interacts with those files Then, instead of using emacs, you can run the twelf-server command directly from your shell and interact with your files using the following commands
  • Twelf with Emacs
    The preferred way to interact with Twelf is through its emacs mode, which is included in the Twelf distribution The Download page has basic information for setting up Emacs mode with Twelf
  • Summary and exercises: the natural numbers | Twelf
    In the conclusion of Part 1 of the introduction to proving metatheorems in Twelf, we summarize takeaways, and present some exercises (Part of the introduction to proving metatheorems in Twelf)
  • Release history | Twelf
    Twelf 1 4 has several new features including world checking, coverage checking, totality checking, tracing type reconstruction, and use of definitions during proof search (see New Features)
  • Theorem prover - Twelf
    The Twelf theorem prover is a way of specifying and automatically verifying metatheorems that have the form of ∀∃-statements It uses the Twelf declarations %theorem, %prove, %establish, and %assert
  • Summary and exercises: the simply-typed lambda calculus - Twelf
    In the conclusion of Part 2 of the introduction to proving metatheorems in Twelf, we summarize takeaways and present some exercises to extend the simply typed lambda calculus (Part of the introduction to proving metatheorems in Twelf)
  • Metatheorem - Twelf
    Twelf can prove ∀∃-metatheorems in one of two ways The first method, the theorem prover, is incomplete and not currently recommended for use It allows the user to directly specify a ∀∃-statement about LF terms, and then ask Twelf to verify that statement





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