Abstract
Behavioural logic is a generalization of first-order logic where the equality predicate is interpreted by a behavioural equality of objects (and not by their identity). We establish simple and general sufficient conditions under which the behavioural validity of some first-order formula with respect to a given first-order specification is equivalent to the standard validity of the same formula in a suitably enriched specification. As a consequence any proof system for first-order logic can be used to prove the behavioural validity of first-order formulas.KeywordsContext VariableFunction SymbolAbstract AlgebraBehavioural SpecificationBehavioural EqualityThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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