Extensions of initial models and their second-order proof systems
Identifieur interne : 003378 ( Istex/Curation ); précédent : 003377; suivant : 003379Extensions of initial models and their second-order proof systems
Auteurs : Pierre-Yves SchobbensSource :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Besides explicit axioms, an algebraic specification language contains model-theoretic constraints such as initiality. For proving properties of specifications and refining them to programs, an axiomatization of these constraints is needed; unfortunately, no effective, sound and complete proof system can be constructed for initial models, and a fortiori for their extensions. In this paper, we construct non-effective second-order axiomatizations for the initiality constraint, and its recently proposed extensions (minimal, quasi-free and surjective models) designed to deal with disjunction and existential quantification.
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DOI: 10.1007/3-540-58233-9_15
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Pierre-Yves Schobbens<affiliation><mods:affiliation>Fac. Univ. Notre-Dame de la Paix, Institut d'Informatique, Rue Grandgagnage 21, B-5000, Namur</mods:affiliation><wicri:noCountry code="subField">Namur</wicri:noCountry></affiliation>Le document en format XML
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