Abstract
This paper presents a proof-theoretic sign-based grammar founded on non-associative non-commutative linear logic which models a compositional theory of the 'information packaging' meaning of intonational contours. Cross-language comparison reveals that in expressing information packaging, different languages exploit word order and prosody in different ways: one single informational construct can be realized by drastically different structural means across languages. Thus for languages such as English and Dutch it can be argued that, roughly speaking, information packaging is structurally realized by means of alternative intonational contours of identical strings, while languages such as Catalan and Turkish have a constant prosodic structure and realize information packaging by means of string order permutations. Such cross-linguistic generalizations suggest that information packaging involves syntax as well as prosody, so that any attempt to reduce informational aspects to either syntax (for Catalan or Turkish) or prosody (for English or Dutch) must be inadequate from a cross-linguistic point of view. The present paper proposes to treat the different structural realizations of information packaging by means of a both intonationally/syntactically and semantically/informationally interpreted sign-based version of the non-associative Lambek calculus, the 'pure logic of residuation'. The signs, the grammatical resources of this formalism, are form-meaning units which reflect the fact that the dimensions of form and meaning contribute to well-formedness in an essentially parallel way. The proof-theoretic categorial engine of the formalism represents phonological head/non-head dependencies in terms of a doubling of the pure logic of residuation which is enriched with unary modal operators, where the unary brackets that come with these operators function as demarcations of specific intonational domains.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Beckman, M., and J. Pierrehumbert (1986). 'Intonational Structure in Japanese and English'. Phonological Yearbook3, pp. 15–70.
Chafe, W.L. (1976). 'Givenness, Contrastiveness, Definiteness, Subjects, Topics and Point of View'. In C.N. Li (ed.), Subject and Topic. Associated Press, New York.
Dahl, Ö. (1974). 'Topic-Comment Structure Revisited'. In Ö. Dahl (ed.), Topic and Comment, Contextual Boundedness and Focus. Papers in Text Linguistics6. Helmut Buske, Hamburg.
Engdahl, E. (ed.) (1994). Integrating Information Structure into Constraint-based and Categorial Approaches. ESPRIT Basic Research Project 6852, Dynamic Interpretation of Natural Language. DYANA-2 Deliverable R1.3.B. ILLC, University of Amsterdam.
Erteschik-Shir, N. (1996). The Dynamics of Focus Structure. Cambridge University Press.
Heim, I. (1982). The Semantics of Definite and Indefinite Noun Phrases. Ph.D. Dissertation University of Massachusetts, Amherst. Published in 1989 by Garland, New York.
Heim, I. (1983). 'File Change Semantics and the Familiarity Theory of Definiteness'. In R. Bäuerle, C. Schwarze and A. von Stechow (eds.), Meaning, Use and Interpretation of Language. De Gruyter, Berlin.
Hendriks, H. (1996a). 'Intonation, Derivation, Information. A Proof-Theoretic Framework for the Representation of Information Packaging'. In: M. Abrusci and C. Casadio (eds.), Proofs and Linguistic Categories. Proceedings of the Third Roma Workshop. Editrice CLUEB, Bologna.
Hendriks, H. (1996b). 'Information Packaging: From Cards to Boxes'. In T. Galloway and J. Spence (eds.), Proceedings of Semantics And Linguistic Theory VI, CLC Publications, Ithaca, New York.
Hendriks, H. (1997). 'L+H* Accent and Non-Monotone Anaphora'. To appear in: R. Kager and W. Zonneveld (eds.), Proceedings of the Utrecht Workshop on Phrasal and Prosodic Phonology. Foris Publications, Dordrecht.
Hendriks, H. (1998). 'A Strong Theory of Topic and Focus Interpretation'. Manuscript.
Hendriks, H., and P. Dekker (1995). 'Links without Locations'. In P. Dekker and M. Stokhof (eds.), Proceedings of the Tenth Amsterdam Colloquium. ILLC, University of Amsterdam.
Hobbs, J., (1990). 'The Pierrehumbert and Hirschberg Theory of Intonation Made Simple: Comments on Pierrehumbert and Hirschberg'. In P. Cohen, J. Morgan and M. Pollack (eds.), Intentions in Communication, Mit Press, Cambridge (Mass.).
Hoffman, B. (1995). 'Integrating "Free" Word Order Syntax and Information Structure'. Manuscript, University of Pennsylvania.
Jackendoff, R. (1972). Semantic Interpretation in Generative Grammar. MIT Press, Cambridge (Mass.).
Jacobs, J. (1983). Fokus und Skalen: Zur Syntax und Semantik von Gradpartikeln im Deutschen. Niemeyer, Tübingen.
Kamp, H. (1981). 'A Theory of Truth and Semantic Representation'. In J. Groenendijk, T. Janssen and M. Stokhof (eds.), Formal Methods in the Study of Language. Mathematical Centre, Amsterdam. Reprinted in J. Groenendijk, T. Janssen and M. Stokhof (eds.) (1984), Truth, Interpretation and Information. Selected Papers from the Third Amsterdam Colloquium. Foris, Dordrecht.
Kamp, H., and U. Reyle (1993). From Discourse to Logic. Introduction to Modeltheoretic Semantics of Natural Language, Formal Logic and Discourse Representation Theory. Kluwer, Dordrecht.
Kraak, E. (1995). 'French object clitics: a multimodal analysis'. In G. Morrill and R. Oehrle (eds.), Proceedings Formal Grammar Conference, Barcelona, pp. 166–180.
Krifka, M. (1991). 'A Compositional Semantics for Multiple Focus Constructions'. Linguistische Berichte, Suppl.4, pp. 17–53.
Lambek, J. (1958). 'The Mathematics of Sentence Structure'. American Mathematical Monthly65, pp. 154–169.
Lambek, J. (1961). 'On the Calculus of Syntactic Types'. In R. Jakobson (ed.), Structure of Language and its Mathematical Aspects. Providence.
Linden, E.-J. van der (1991). 'Accent Placement and Focus in Categorial Logic'. In S. Bird (ed.), Declarative Perspectives on Phonology. Edinburgh Working Papers in Cognitive Science. ECCS, Edinburgh.
Moortgat, M. (1996). 'Multimodal Linguistic Inference'. Journal of Logic, Language and Information5, pp. 349–385.
Moortgat, M. (1997). 'Generalized Quantification and Discontinuous Type Constructors'. In H. Bunt and A. van Horck (eds.) (1997), Proceedings of the Tilburg Symposium on Discontinuous Dependencies. Mouton de Gruyter, Berlin.
Moortgat, M., and G. Morrill (1991). 'Heads and Phrases. Type Calculus for Dependency and Constituent Structure'. OTS Research Paper, University of Utrecht.
Morrill, G. (1992). 'Categorial Formalisation of Relativisation: Pied Piping, Islands, and Extraction Sites'. Report de Recerca LSI-92-23-R, Departament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya.
Morrill, G. (1994). Type Logical Grammar: Categorial Logic of Signs. Kluwer, Dordrecht.
Muskens, R. (1993). 'A Compositional Discourse Representation Theory'. In P. Dekker and M. Stokhof (eds.), Proceedings of the Ninth Amsterdam Colloquium. ILLC, University of Amsterdam.
Nooteboom, S.G., and J.M.B. Terken (1982). 'What Makes Speakers Omit Pitch Accents?'. Phonetica39, pp. 317–336.
Oehrle, R. (1988). 'Multidimensional Compositional Functions as a Basis for Grammatical Analysis'. In R. Oehrle, E. Bach and D. Wheeler (eds.), Categorial Grammars and Natural Language Structures. Reidel, Dordrecht.
Oehrle, R. (1991). 'Prosodic Constraints on Dynamic Grammatical Analysis'. In S. Bird (ed.), Declarative Perspectives on Phonology. Edinburgh Working Papers in Cognitive Science. ECCS, Edinburgh.
Oehrle, R. (1994). 'Term-labeled Categorial Type Systems'. Linguistics and Philosophy17, pp. 633–678.
Pierrehumbert, J. (1980). The Phonology and Phonetics of English Intonation. Ph.D. Disertation Mit, Cambridge (Mass.). Distributed by the IULC.
Pierrehumbert, J., and J. Hirschberg (1990). 'The Meaning of Intonational Contours in the Interpretation of Discourse'. In P. Cohen, J. Morgan and M. Pollack (eds.), Intentions in Communication, MIT Press, Cambridge (Mass.).
Pollard, C., and I. Sag (1987). Information-Based Syntax and Semantics. Vol. 1: Fundamentals. CSLI, Stanford.
Pollard, C., and I. Sag (1994). Head-Driven Phrase Structure Grammar. University of Chicago Press, Chicago, and CSLI, Stanford.
Prince, E. (1981). 'Toward a Taxonomy of Given-New Information'. In P. Cole, Radical Pragmatics. Academic Press, New York.
Reinhart, T. (1982). 'Pragmatics and Linguistics: An Analysis of Sentence Topics'. Philosophica27, pp. 53–94.
Rooth, M. (1985). Association with Focus. Ph.D. Dissertation University of Massachusetts, Amherst.
Rooth, M. (1992). 'A Theory of Focus Interpretation'. Natural Language Semantics1, pp. 75–116.
Steedman, M. (1991). 'Structure and Intonation'. Language67, pp. 260–296.
Steedman, M. (1992). 'Surface Structure, Intonation and "Focus"'. In E. Klein and F. Veltman (eds.) Natural Language and Speech. Symposium Proceedings, Brussels. Springer, Berlin.
Steedman, M. (1993). 'The Grammar of Intonation and Focus'. In P. Dekker and M. Stokhof (eds.), Proceedings of the Ninth Amsterdam Colloquium. ILLC, University of Amsterdam.
Vallduví, E. (1992). The Informational Component. Garland, New York.
Vallduví, E. (1993). 'Information Packaging: A Survey'. Report prepared for Word Order, Prosody, and Information Structure. Centre for Cognitive Science and Human Communication Research Centre, University of Edinburgh.
Vallduví, E. (1994). 'The Dynamics of Information Packaging'. In E. Engdahl (ed.).
Vallduví, E., and R. Zacharski (1993). 'Accenting Phenomena, Association with Focus, and the Recursiveness of Focus-Ground'. In P. Dekker and M. Stokhof (eds.), Proceedings of the Ninth Amsterdam Colloquium. ILLC, University of Amsterdam.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hendriks, H. (1999). The Logic of Tune A Proof-Theoretic Analysis of Intonation. In: Lecomte, A., Lamarche, F., Perrier, G. (eds) Logical Aspects of Computational Linguistics. LACL 1997. Lecture Notes in Computer Science(), vol 1582. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48975-4_7
Download citation
DOI: https://doi.org/10.1007/3-540-48975-4_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65751-4
Online ISBN: 978-3-540-48975-7
eBook Packages: Springer Book Archive