2007
DOI: 10.1007/s10817-007-9073-2
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Integrating Searching and Authoring in Mizar

Abstract: The vision of a computerized assistant to mathematicians has existed since the inception of theorem-proving systems. The Alcor system has been designed to investigate and explore how a mathematician might interact with such an assistant by providing an interface to Mizar and the Mizar Mathematical Library. Our current research focuses on the integration of searching and authoring while proving. In this paper we use a scenario to elaborate on the nature of the interaction. We abstract from the scenario two dist… Show more

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Cited by 10 publications
(5 citation statements)
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“…Therefore, it is not good at searching modified (but logically equivalent) theorems. The Alcor system [6], developed by P. Carins et al, provides an Latent Semantic Indexing (LSI)-based search function for the Mizar Mathematical Library. We have implemented a similar LSI-based search component into the emwiki system.…”
Section: Search Functionmentioning
confidence: 99%
“…Therefore, it is not good at searching modified (but logically equivalent) theorems. The Alcor system [6], developed by P. Carins et al, provides an Latent Semantic Indexing (LSI)-based search function for the Mizar Mathematical Library. We have implemented a similar LSI-based search component into the emwiki system.…”
Section: Search Functionmentioning
confidence: 99%
“…While this feature has given a significant advantage of the readability of the Mizar language, it has also made lexical and syntactic analysis more difficult. Historically, this grammatical complexity has often become a bottleneck in the development of support tools for the Mizar system [6]. The existing Mizar system converts the Mizar language into the WS-Mizar language, thus all terms are parenthesized.…”
Section: Parser Specificationmentioning
confidence: 99%
“…Some aim to provide interfaces that have a familiar syntax [24]- [27]; some aim to make optional the need to provide explicit references to the formal facts being used within the individual steps of a formal argument [28]- [30]; some aim to eliminate steep learning curves [31]- [33]; some aim to reduce the logistical difficulties of utilizing automated formal reasoning assistance systems [32], [34]. We are inspired by search mechanisms for libraries of formal facts [35]- [37] and programming language constructs [38], as well as keyword-based lookup mechanisms for programming environments [39], [40]. Providing the functionality of a formal reasoning environment within a browser is a goal that has been adopted by some projects [34], though that work focuses on delivering the look and functionality of a single existing proof assistant.…”
Section: Related Workmentioning
confidence: 99%