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Titlebook: Automated Mathematical Induction; Hantao Zhang Book 1996 Kluwer Academic Publishers 1996 Arithmetic.automated theorem proving.formal metho

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期刊全称Automated Mathematical Induction
影响因子2023Hantao Zhang
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图书封面Titlebook: Automated Mathematical Induction;  Hantao Zhang Book 1996 Kluwer Academic Publishers 1996 Arithmetic.automated theorem proving.formal metho
影响因子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 p
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Zusammenführung der empirischen Befundeenerating induction hypotheses. A weakness of this method is that it relies on syntactic unification for generating an induction scheme for a conjecture. This paper goes a step further by proposing semantic analysis for generating an induction scheme for a conjecture from a cover set. We discuss the
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https://doi.org/10.1007/978-3-658-17279-4r main point is that, at least in the case of Nqthm, the user can interact with the system without knowing much about how it works inside. This perspective suggests the development of theorem provers that allow interaction that is user oriented and . system developer oriented.
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Middle-Out Reasoning for Synthesis and Induction,nthesis is difficult because the recursion of the program, which is unknown at the outset, determines the induction in the proof. In middle-out induction, we set up a schematic step case by representing the constructors that are applied to induction variables with meta-variables. Once the step case
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,Interaction with the Boyer—Moore Theorem Prover: A Tutorial Study Using the Arithmetic—Geometric Mer main point is that, at least in the case of Nqthm, the user can interact with the system without knowing much about how it works inside. This perspective suggests the development of theorem provers that allow interaction that is user oriented and . system developer oriented.
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Induction Using Term Orders, lemmas whose proofs use the theorems . while the theorems themselves use the lemmas. This feature has always been supported by induction procedures based on Knuth—Bendix completion, but these procedures are limited by the use of rewriting (or rewriting-like) inferences. Our procedure avoids this li
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