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An Instruction Sequence Semigroup with Involutive Anti-Automorphisms

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Author(s): J.A. Bergstra | A. Ponse

Journal: Scientific Annals of Computer Science
ISSN 1843-8121

Volume: 19;
Start page: 57;
Date: 2009;
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ABSTRACT
We introduce an algebra of instruction sequences by presenting asemigroup C in which programs can be represented without directionalbias: in terms of the next instruction to be executed, C has both forwardand backward instructions and a C-expression can be interpretedstarting from any instruction. We provide equations for thread extraction,i.e., C’s program semantics. Then we consider thread extractioncompatible (anti-)homomorphisms and (anti-)automorphisms. Finallywe discuss some expressiveness results.

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