Abstract
In this chapter, a second component is added to the grammars, that of meanings. A new notion of grammar appears on the scene, that of a bigrammar. Bigrammars interpret the modes by two functions, one for the formation of the expressions, another for the formation of the meanings. Various notions of independence of these two planes are being discussed. Autonomy of syntax means that expression formation proceeds independently of the meaning, and compositionality means that meaning formation proceeds independently of the expressions. The partiality of the composition functions allows to divide the explanatory burden between semantics and syntax in often arbitrary ways. Further, strong generative capacity is linked to the language as relation, while weak capacity only deals with the string language. It is shown that there exist weakly context free languages that are not strongly context free.
Keywords
The principle of compositionality is introduced in this chapter: it concerns the relationship of strings with their meanings. To be able to formulate it properly, we shall have to introduce interpreted languages and grammars for them.
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Notes
- 1.
Well, there are two: \(f(x,y) := x^{\smallfrown}\!y\) and \(g(x,y) := y^{\smallfrown}\!x\). But this can be handled by constructing a more complex example.
References
Chomsky, Noam. 1993. “A Minimalist Program for Linguistic Theory.” In The View from Building 20: Essays in Honour Sylvain Bromberger, edited by K. Hale and S.J. Keyser, 1–52. Cambridge, MA: MIT Press.
Falk, Yehuda N. 2001. Lexical-Functional Grammar: An Introduction to Parallel Constraint-Based Syntax. Stanford, CA: CSLI.
Gärdenfors, Peter. 2004. Conceptual Spaces. Cambridge, MA: MIT Press.
Harrison, Michael A. 1978. Introduction to Formal Language Theory. Reading, MA: Addison Wesley.
Hodges, Wilfrid. 2001. “Formal Features of Compositionality.” Journal of Logic, Language and Information 10:7–28.
Janssen, Theo. 1997. “Compositionality.” In Handbook of Logic and Language, edited by Johan van Benthem and Alice ter Meulen, 417–73. Amsterdam: Elsevier.
Kac, Michael B., Alexis Manaster-Ramer, and William C. Rounds. 1987. “Simultaneous-Distributive Co-ordination and Context-Freeness.” Computational Linguistics 13:25–30.
Keenan, Edward L., and Edward P. Stabler. 2001. Bare Grammar. Lectures on Linguistics Invariants. Stanford, CA: CSLI.
King, Jeffrey C. 2007. The Nature and Structure of Content. Oxford: Oxford University Press.
Kracht, Marcus. 2003. Mathematics of Language. Berlin: Mouton de Gruyter.
Kracht, Marcus. 2006. “Partial Algebras, Meaning Categories and Algebraization.” Theoretical Computer Science 354:131–41.
Kracht, Marcus. 2008. “Is Adjunction Compositional?” Research on Language and Computation 6:53–77.
Miller, Philip H. 1999. Strong Generative Capacity. The Semantics of Linguistic Formalisms. Stanford, CA: CSLI.
Onions, C.T. 1973. The Shorter English Dictionary. Oxford: Oxford University Press.
Pagin, Peter. 2003. Communication and Strong Compositionality. Journal of Philosophical Logic 32:287–322.
Pentus, Mati. 1997. “Product–Free Lambek–Calculus and Context–Free Grammars.” Journal of Symbolic Logic 62:648–60.
Pollard, Carl, and Ivan Sag. 1994. Head–Driven Phrase Structure Grammar. Chicago, IL: The University of Chicago Press.
Radzinski, Daniel. 1990. “Unbounded Syntactic Copying in Mandarin Chinese.” Linguistics and Philosophy 13:113–27.
Saussure, Ferdinand de. 2011. Course in General Linguistics. New York, NY: Columbia University Press.
Scollon, Ron, and Suzie Wong Scollon. 2003. Discourses in Place. Language in the Material World. London and New York: Routledge.
Zadrozny, Wlodek. 1994. “From Compositional Semantics to Systematic Semantics.” Linguistics and Philosophy 17:329–42.
Barker, Chris, and Pauline Jacobson, eds. 2007. Direct Compositionality. Oxford Studies in Theoretical Linguistics, vol. 14. Oxford: Oxford University Press.
Szabó, Zoltán Gendler. 2000. “Compositionality as Supervenience.” Linguistics & Philosophy 23:475–505.
Manaster-Ramer, Alexis. 1986. “Copying in Natural Languages, Context-Freeness and Queue Grammars.” In Proceedings of the 24th Annual Meeting of the Association for Computational Linguistics 85–89. New York, NY: Stroudsburg, PA.
Pullurn, Geoffrey, and Kyle Rawlins. 2007. “Argument or No argument?” Linguistics and Philosophy 30:277–87.
Thue, Axel. 1914. Probleme über Veränderungen von Zeichenreihen nach gegebenen Regeln. (Problems Concerning Changing Strings According to Given Rules). Skrifter utgit av Videnskapsselkapet i Kristiania, I. Mathematisk-naturvidenskabelig klasse, 10.
Manaster-Ramer, Alexis, M. AndrewMoshier, and R. Suzanne Zeitman. 1992. An Extension of Ogden’s Lemma. Manuscript. Detroit, MI: Wayne State University.
Groenink, Annius. 1997. Surface Without Structure. Word Order and Tractability Issues in Natural Language Analysis. PhD thesis, University of Utrecht.
Mel’čuk, Igor A. 1993–2000. Cours de Morphologie Générale, vols. 1–5. Montréal: Les Presses de l’Université de Montréal.
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Kracht, M. (2011). Compositionality. In: Interpreted Languages and Compositionality. Studies in Linguistics and Philosophy, vol 89. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2108-1_3
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