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A parameterized algebraic theory of instruction sequences, objects thatrepresent the behaviours produced by instruction sequences under execution, andobjects that represent the behaviours exhibited by the components of theexecution environment of instruction sequences is the basis of a line ofresearch in which issues relating to a wide variety of subjects from computerscience have been rigorously investigated thinking in terms of instructionsequences. In various papers that belong to this line of research, use is madeof an instantiation of this theory in which the basic instructions areinstructions to read out and alter the content of Boolean registers and thecomponents of the execution environment are Boolean registers. In this paper,we give a simplified presentation of the most general such instantiated theory.

A short introduction to program algebra with instructions for Boolean registers