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Formal Aspects of Computing
Article . 1995 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 1995
Data sources: zbMATH Open
DBLP
Article . 2022
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Proof by analogy in mural

Authors: Vadera, S;

Proof by analogy in mural

Abstract

Abstract An important advantage of using a formal method of developing software is that one can prove that development steps are correct with respect to their specification. Conducting proofs by hand, however, can be time consuming to the extent that designers have to judge whether a proof of a particular obligation is worth conducting. Even if hand proofs are worth conducting, how do we know that they are correct? One approach to overcoming this problem is to use an automatic theorem proving system to develop and check our proofs. However, in order to enable present day theorem provers to check proofs, one has to conduct them in much more detail than hand proofs. Carrying out more detailed proofs is of course more time consuming. This paper describes the use of proof by analogy in an attempt to reduce the time spent on proofs. We develop and implement a proof follower based on analogy and present an example to illustrate its characteristics. The example shows that even when the follower fails to complete a proof, it can provide a hint that enables the user to complete a proof.

Related Organizations
Keywords

QA75, Specification and verification (program logics, model checking, etc.), automatic theorem proving, other, heuristics, analogy, Theorem proving (deduction, resolution, etc.)

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
Green
bronze