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Titlebook: Recent Trends in Algebraic Development Techniques; 12th International W Francesco Parisi Presicce Conference proceedings 1998 Springer-Verl

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Membership algebra as a logical framework for equational specification,cusses in detail how many total and partial equational specification formalisms, including order-sorted algebra and . membership equational logic, can be represented in it, as well as the practical benefits in terms of tool reusability that this opens up for other languages, including CASL.
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Static semantic analysis and theorem proving for CASL,order logic . of the logical framework Isabelle are discussed: the first one from . to . via . (partial first-order logic) first drops subsorting and then partiality, and the second one is the counterpart via . (subsorted first-order logic). Finally, we sketch an integration of the embedding of CASL into the UniForM Workbench.
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Zero-safe nets: The individual token approach, locates a distinguished transaction. In the second part of the paper, following the . approach, we make use of category theory to analyze and motivate our framework. More precisely, the operational semantics of zero-safe nets is characterized as an adjunction, and the derivation of abstract P/T nets as a coreflection.
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An algebra of mixin modules,s (namely, sum, reduct and freeze), which are characterized by a small set of axioms. We show that the given axiomatization is sound w.r.t. to a model provided in some preceding work. Finally, we prove the existence of a normal form for mixin expressions.
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Modular aspects of rewrite-based specifications,new properties of term rewriting systems related to collapsing reductions: . and .. We discuss these properties w.r.t. well-known confluence, and normal form properties, and show that they are modular consistency for left-linear systems, but not in general.
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Conference proceedings 1998encompases today the formal design of integrated hardware and software systems, new specification frameworks and a wide range of applications. This book presents the state-of-the-art in the area of algebraic software development.
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