Deductive Parsing of Visual Languages
Identifieur interne : 009361 ( Main/Exploration ); précédent : 009360; suivant : 009362Deductive Parsing of Visual Languages
Auteurs : Paolo Bottoni [Italie] ; Bernd Meyer [Australie] ; Kim Marriott [Australie] ; Francesco Parisi Presicce [Italie]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Computational linguistics has largely focussed on written and spoken textual languages. However, humans use many other kinds of symbolic notations for communication, in particular, two-dimensional graphical notations such as mathematical notation, choreography notation, organizational charts and electrical circuit diagrams. We can term such multi-dimensional symbolic notations, visual languages. Like textual languages, many of these notations have a well defined syntax and semantics. The standard approach to computer interpretation of visual languages is to utilize parsing technologies based on multi-dimensional grammars. In this paper we investigate a new approach to parsing visual languages based on linear logic. The advantages of this logic-based approach are threefold: It provides a more adequate level for modelling the semantics of visual languages; it allows us to implement them based on automated deduction and it provides a good basis for the investigation of their formal properties. We show how attributed multiset grammars, one of the most widely used methods for multi-dimensional parsing, can be embedded into linear logic, demonstrate how parsing corresponds to linear proofs and prove the soundness and correctness of this embedding. Importantly, our embedding is into a subset of a linear logic programming language. Thus, we also demonstrate how multi-dimensional parsing can be implemented as a directly executable linear logic program.
Url:
DOI: 10.1007/3-540-48199-0_5
Affiliations:
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However, humans use many other kinds of symbolic notations for communication, in particular, two-dimensional graphical notations such as mathematical notation, choreography notation, organizational charts and electrical circuit diagrams. We can term such multi-dimensional symbolic notations, visual languages. Like textual languages, many of these notations have a well defined syntax and semantics. The standard approach to computer interpretation of visual languages is to utilize parsing technologies based on multi-dimensional grammars. In this paper we investigate a new approach to parsing visual languages based on linear logic. The advantages of this logic-based approach are threefold: It provides a more adequate level for modelling the semantics of visual languages; it allows us to implement them based on automated deduction and it provides a good basis for the investigation of their formal properties. We show how attributed multiset grammars, one of the most widely used methods for multi-dimensional parsing, can be embedded into linear logic, demonstrate how parsing corresponds to linear proofs and prove the soundness and correctness of this embedding. Importantly, our embedding is into a subset of a linear logic programming language. Thus, we also demonstrate how multi-dimensional parsing can be implemented as a directly executable linear logic program.</div></front></TEI><affiliations><list><country><li>Australie</li><li>Italie</li></country></list><tree><country name="Italie"><noRegion><name sortKey="Bottoni, Paolo" sort="Bottoni, Paolo" uniqKey="Bottoni P" first="Paolo" last="Bottoni">Paolo Bottoni</name></noRegion><name sortKey="Bottoni, Paolo" sort="Bottoni, Paolo" uniqKey="Bottoni P" first="Paolo" last="Bottoni">Paolo Bottoni</name><name sortKey="Presicce, Francesco Parisi" sort="Presicce, Francesco Parisi" uniqKey="Presicce F" first="Francesco Parisi" last="Presicce">Francesco Parisi Presicce</name><name sortKey="Presicce, Francesco Parisi" sort="Presicce, Francesco Parisi" uniqKey="Presicce F" first="Francesco Parisi" last="Presicce">Francesco Parisi Presicce</name></country><country name="Australie"><noRegion><name sortKey="Meyer, Bernd" sort="Meyer, Bernd" uniqKey="Meyer B" first="Bernd" last="Meyer">Bernd Meyer</name></noRegion><name sortKey="Marriott, Kim" sort="Marriott, Kim" uniqKey="Marriott K" first="Kim" last="Marriott">Kim Marriott</name><name sortKey="Marriott, Kim" sort="Marriott, Kim" uniqKey="Marriott K" first="Kim" last="Marriott">Kim Marriott</name><name sortKey="Meyer, Bernd" sort="Meyer, Bernd" uniqKey="Meyer B" first="Bernd" last="Meyer">Bernd Meyer</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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