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Special issue of the Journal of Symbolic Computation on Automated Specification and Verification of Web Systems
No full textIsabelle/HOL/GST: A Formal Proof Environment for Generalized Set Theories
No full textA generalized set theory (GST) is like a standard set theory but also can have non-set structured objects that can contain other structured objects including sets. This paper presents Isabelle/HOL support for GSTs, which are treated as type classes that combine features that specify kinds of mathematical objects, e.g., sets, ordinal numbers, functions, etc. GSTs can have an exception feature that eases representing partial functions and undefinedness. When assembling a GST, extra axioms are generated following a user-modifiable policy to fill specification gaps. Specialized type-like predicates called soft types are used extensively. Although a GST can be used without a model, for confidence in its consistency we build a model for each GST from components that specify each feature's contribution to each tier of a von-Neumann-style cumulative hierarchy defined via ordinal recursion, and we then connect the model to a separate type which the GST occupies.<br/
Unified Decomposition-Aggregation (UDA) Rules: Dynamic, Schematic, Novel Axioms
Full text linkWe introduce Unified Decomposition-Aggregation (UDA) rules. They are a family of axiom schemata that are instantiated at run-time to add new axioms to a logical theory. These new axioms are implications, whose preconditions will be constructed from an analysis of the goal to be proved and the theory in which it is to be proved. We illustrate their application to query answering using the FRANK system
Proceedings of the 5th International Symposium on Symbolic Computation in Software Science (SCSS 2013)
No full text6th International Symposium on Symbolic Computation in Software Science, SCSS 2014, Gammarth, La Marsa, Tunisia, December 7-8, 2014
No full text6th International Workshop on Automated Specification and Verification of Web Systems (WWV)
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