Abstract
Algebra replacement systems are introduced as formal models of state dependent and state transforming systems. The first part of an institution of algebra replacement systems is developed, that is, a model theoretic and logical framework that can be used to describe and reason about such systems. The usual operational understanding of a replacement system as a labeled transition system is then considered as one particular model in the model category. Under appropriate conditions such a constructed replacement system is initial.
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Große-Rhode, M. First Steps Towards an Institution of Algebra Replacement Systems. Applied Categorical Structures 6, 403–426 (1998). https://doi.org/10.1023/A:1008695322792
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DOI: https://doi.org/10.1023/A:1008695322792