Abstract
A paradigm of program development using type theories is given after analyzing some typical examples. In order to carry this approach forward, a language ALT is designed. It is a linguistic description of a generalized higher order typed lambda calculus with π, Σ types and π, Σ kinds (supertypes). Four examples are given to show how ALT can be used to implement many concepts of software engineering and artificial intelligence. They are intuitionistic logic, Peano arithmetic, approximate reasoning and program transformations. ALT is described formally, using a structural operational approach.
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