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A content based mathematical search engine: whelp
 In: Postproceedings of the Types 2004 International Conference, Vol. 3839 of LNCS
, 2004
"... Abstract. The prototype of a content based search engine for mathematical knowledge supporting a small set of queries requiring matching and/or typing operations is described. The prototype — called Whelp — exploits a metadata approach for indexing the information that looks far more flexible than t ..."
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Cited by 25 (9 self)
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Abstract. The prototype of a content based search engine for mathematical knowledge supporting a small set of queries requiring matching and/or typing operations is described. The prototype — called Whelp — exploits a metadata approach for indexing the information that looks far more flexible than traditional indexing techniques for structured expressions like substitution, discrimination, or context trees. The prototype has been instantiated to the standard library of the Coq proof assistant extended with many user contributions. 1
Efficient Retrieval of Mathematical Statements
 In Proceeding of the Third International Conference on Mathematical Knowledge Management, MKM 2004. Bialowieza, Poland. LNCS 3119
, 2004
"... Abstract. The paper describes an innovative technique for efficient retrieval of mathematical statements from large repositories, developing and substantially improving the metadatabased approach introduced in [13]. 1 ..."
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Cited by 9 (2 self)
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Abstract. The paper describes an innovative technique for efficient retrieval of mathematical statements from large repositories, developing and substantially improving the metadatabased approach introduced in [13]. 1
Efficient Ambiguous Parsing of Mathematical Formulae
 IN: PROCEEDINGS OF MATHEMATICAL KNOWLEDGE MANAGEMENT 2004, VOL. 3119 OF LNCS
, 2004
"... Mathematical notation has the characteristic of being ambiguous: operators can be overloaded and information that can be deduced is often omitted. Mathematicians are used to this ambiguity and can easily disambiguate a formula making use of the context and of their ability to find the right interp ..."
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Cited by 6 (3 self)
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Mathematical notation has the characteristic of being ambiguous: operators can be overloaded and information that can be deduced is often omitted. Mathematicians are used to this ambiguity and can easily disambiguate a formula making use of the context and of their ability to find the right interpretation. Software applications that have to deal with formulae usually avoid these issues by fixing an unambiguous input notation. This solution is annoying for mathematicians because of the resulting tricky syntaxes and becomes a show stopper to the simultaneous adoption of tools characterized by different input languages. In this paper we present an efficient algorithm suitable for ambiguous parsing of mathematical formulae. The only requirement of the algorithm is the existence of a “validity” predicate over abstract syntax trees of incomplete formulae with placeholders. This requirement can be easily fulfilled in the applicative area of interactive proof assistants, and in several other areas of Mathematical Knowledge Management.
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"... sadhana manuscript No. (will be inserted by the editor) A compact kernel for the calculus of inductive constructions ..."
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sadhana manuscript No. (will be inserted by the editor) A compact kernel for the calculus of inductive constructions
1 Developments and Comaprison of Semantic Representations
"... Mathematics and Varied User Needs. The purpose of this task is to compare the different approaches to the semantic representation of mathematical knowledge and to try to unify them in a common semantic basis of primitive notions. The sections have been compiled by various partners in the project, us ..."
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Mathematics and Varied User Needs. The purpose of this task is to compare the different approaches to the semantic representation of mathematical knowledge and to try to unify them in a common semantic basis of primitive notions. The sections have been compiled by various partners in the project, using information from other groups when necessary. The complete report has been collected and integrated by Fairouz Kamareddine,