Transformer Semantics

Georg Struth 🌐

December 11, 2018

Abstract

These mathematical components formalise predicate transformer semantics for programs, yet currently only for partial correctness and in the absence of faults. A first part for isotone (or monotone), Sup-preserving and Inf-preserving transformers follows Back and von Wright's approach, with additional emphasis on the quantalic structure of algebras of transformers. The second part develops Sup-preserving and Inf-preserving predicate transformers from the powerset monad, via its Kleisli category and Eilenberg-Moore algebras, with emphasis on adjunctions and dualities, as well as isomorphisms between relations, state transformers and predicate transformers.
BSD License

Topics

Theories of Transformer_Semantics