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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Informatik & EDV Informatik Automated Mathematical Induction
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Automated Mathematical Induction
Hantao Zhang (Broschiert, Englisch)
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Beschreibung
It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. This common structure can be exploited in the search for particular proofs. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the… proof. In contrast, a method provides a more declarative explanation of the proof by means of preconditions. Each method has associated effects. The execution of the effects simulates the application of the corresponding tactic. Theorem proving in the proof planning framework is a two-phase process: 1. Tactic construction is by a process of method composition: Given a goal, an applicable method is selected. The applicability of a method is determined by evaluating the method's preconditions. The method effects are then used to calculate subgoals. This process is applied recursively until no more subgoals remain. Because of the one-to-one correspondence between methods and tactics, the output from this process is a composite tactic tailored to the given goal. 2. Tactic execution generates a proof in the object-level logic. Note that no search is involved in the execution of the tactic. All the search is taken care of during the planning process. The real benefits of having separate planning and execution phases become appar ent when a proof attempt fails. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
28.09.2011
Sprache
Englisch
EAN
9789401072502
Herausgeber
Springer Netherland
Sonderedition
Nein
Autor
Hantao Zhang
Seitenanzahl
222
Auflage
1
Einbandart
Broschiert
Einbandart Details
Trade Paperback (US)
Schlagwörter
Arithmetic, automated theorem proving, formal method, proof, proving
Thema-Inhalt
UYQ - Künstliche Intelligenz
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
QDTL - Philosophie: Logik
Höhe
240 mm
Breite
16 cm
Hersteller: Springer Nature B.V., Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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