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-Abella is an interactive theorem prover based on lambda-tree syntax.
-This means that Abella is well-suited for reasoning about the meta-theory of programming languages
-and other logical systems which manipulate objects with binding. For example, the following applications
-are included in the distribution of Abella.
-
-* Various results on the lambda calculus involving big-step evaluation, small-step evaluation, and typing judgments
-* Cut-admissibility for a sequent calculus
-* Part 1a and Part 2a of the POPLmark challenge
-* Takahashi's proof of the Church-Rosser theorem
-* Tait's logical relations argument for weak normalization of the simply-typed lambda calculus
-* Girard's proof of strong normalization of the simply-typed lambda calculus
-* Some ?-calculus meta-theory
-* Relation between ?-reduction and paths in A-calculus
-
-For Full List:
-http://abella-prover.org/examples/index.html
-
-Abella uses a two-level logic approach to reasoning.
-Specifications are made in the logic of second-order hereditary Harrop formulas using lambda-tree syntax.
-This logic is executable and is a subset of the AProlog language
-(see the Teyjus system for an implementation of this language).
-The reasoning logic of Abella is the culmination of a series of extensions to proof theory for the
-treatment of definitions, lambda-tree syntax, and generic judgments.
-The reasoning logic of Abella is able to encode the semantics of our specification logic as a
-definition and thereby reason over specifications in that logic.