# Program algebra with a jump-shift instruction

- Authors
- Journal
- Journal of Applied Logic 1570-8683
- Publisher
- Elsevier
- Publication Date
- Volume
- 6
- Issue
- 4
- Identifiers
- DOI: 10.1016/j.jal.2008.07.001
- Keywords
- Disciplines

## Abstract

Abstract We study sequential programs that are instruction sequences with jump-shift instructions in the setting of PGA (ProGram Algebra). Jump-shift instructions preceding a jump instruction increase the position to jump to. The jump-shift instruction is not found in programming practice. Its merit is that the expressive power of PGA extended with the jump-shift instruction, is not reduced if the reach of jump instructions is bounded. This is used to show that there exists a finite-state execution mechanism that by making use of a counter can produce each finite-state thread from some program that is a finite or periodic infinite sequence of instructions from a finite set.

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