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We give here only a brief reference to the examples in the `examples/' subdirectory of the distribution. Each example comes in a separate subdirectory whose name is listed below.
Associativity and commutative of unary addition.
Cartesian-closed categories (currently incomplete).
The Church-Rosser theorem for untyped lambda-calculus.
Various compilers starting from Mini-ML.
Cut elimination for intuitionistic and classical logic.
Simple theorems in first-order logic.
Examples from Users' Guide.
Logic programming in ordered logic.
Double-negation interpretation of classical in intuitionistic logic.
Logic programming, uniform derivations.
Horn fragment of logic programming.
Mini-ML, type preservation and related theorems.
Polymorphic lambda-calculus.
Natural deduction and Hilbert propositional calculus
Mini-ML extended with units (currently incomplete).
In each directory or subdirectory you can find a file `sources.cfg' which defines the standard configuration, usually just the basic theory. The `test.cfg' which also defines an extended configuration with some test queries and theorems. Most examples also have a `README' file with a brief explanation and pointer to the literature.
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