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Anaphora and Ellipsis in Lambek Calculus with a Relevant Modality: Syntax and Semantics
( Lachlan Mcpheat ),( Gijs Wijnholds ),( Mehrnoosh Sadrzadeh ),( Adriana Correia ),( Alexis Toumi ) 서울대학교 인지과학연구소 2021 Journal of Cognitive Science Vol.22 No.2
Lambek calculus with a relevant modality !L* of (Kanovich et al., 2016) syntactically resolves parasitic gaps in natural language. It resembles the Lambek calculus with anaphora LA of (Jäger, 1998) and the Lambek calculus with controlled contraction L<sub>◊</sub> of (Wijnholds and Sadrzadeh, 2019b) which deal with anaphora and ellipsis. What all these calculi add to Lambek calculus is a copying and moving behaviour. Distributional semantics is a subfield of Natural Language Processing that uses vector space semantics for words via co-occurrence statistics in large corpora of data. Compositional vector space semantics for Lambek Calculi are obtained via the DisCoCat models (Coecke et al., 2010). LA does not have a vector space semantics and the semantics of L<sub>◊</sub> is not compositional. Previously, we developed a DisCoCat semantics for !L* and focused on the parasitic gap applications. In this paper, we use the vector space instance of that general semantics and show how one can also interpret anaphora, ellipsis, and for the first time derive the sloppy vs strict vector readings of ambiguous anaphora with ellipsis cases. The base of our semantics is tensor algebras and their finite dimensional variants: the Fermionic Fock spaces of Quantum Mechanics. We implement our model and experiment with the ellipsis disambiguation task of (Wijnholds and Sadrzadeh, 2019a).
Ferná,ndez-Moreira, Vanesa,Song, Bo,Sivagnanam, Venkataragavalu,Chauvin, Anne-Sophie,Vandevyver, Caroline D. B.,Gijs, Martin,Hemmilä,, Ilkka,Lehr, Hans-Anton,Bü,nzli, Jean-Claude G. Royal Society of Chemistry 2010 The Analyst Vol.135 No.1
<P>The lanthanide binuclear helicate [Eu<SUB>2</SUB>(L<SUP>C2(CO<SUB>2</SUB>H)</SUP>)<SUB>3</SUB>] is coupled to avidin to yield a luminescent bioconjugate <B>EuB1</B> (<I>Q</I> = 9.3%, <I>τ</I>(<SUP>5</SUP>D<SUB>0</SUB>) = 2.17 ms). MALDI/TOF mass spectrometry confirms the covalent binding of the Eu chelate and UV-visible spectroscopy allows one to determine a luminophore/protein ratio equal to 3.2. Bio-affinity assays involving the recognition of a mucin-like protein expressed on human breast cancer MCF-7 cells by a biotinylated monoclonal antibody 5D10 to which <B>EuB1</B> is attached <I>via</I> avidin-biotin coupling demonstrate that (i) avidin activity is little affected by the coupling reaction and (ii) detection limits obtained by time-resolved (TR) luminescence with <B>EuB1</B> and a commercial Eu-avidin conjugate are one order of magnitude lower than those of an organic conjugate (FITC-streptavidin). In the second part of the paper, conditions for growing MCF-7 cells in 100–200 µm wide microchannels engraved in PDMS are established; we demonstrate that <B>EuB1</B> can be applied as effectively on this lab-on-a-chip device for the detection of tumour-associated antigens as on MCF-7 cells grown in normal culture vials. In order to exploit the versatility of the ligand used for self-assembling [Ln<SUB>2</SUB>(L<SUP>C2(CO<SUB>2</SUB>H)</SUP>)<SUB>3</SUB>] helicates, which sensitizes the luminescence of both Eu<SUP><SMALL>III</SMALL></SUP> and Tb<SUP><SMALL>III</SMALL></SUP> ions, a dual on-chip assay is proposed in which estrogen receptors (ERs) and human epidermal growth factor receptors (Her2/<I>neu</I>) can be simultaneously detected on human breast cancer tissue sections. The Ln helicates are coupled to two secondary antibodies: ERs are visualized by red-emitting <B>EuB4</B> using goat anti-mouse IgG and Her2/<I>neu</I> receptors by green-emitting <B>TbB5</B> using goat anti-rabbit IgG. The fact that the assay is more than 6 times faster and requires 5 times less reactants than conventional immunohistochemical assays provides essential advantages over conventional immunohistochemistry for future clinical biomarker detection.</P> <P>Graphic Abstract</P><P>Lanthanide luminescent bioprobes (LLBs) combined with microfluidics and lab-on-a-chip technology lead to fast dual assays of cancerous tissue biomarkers. <IMG SRC='http://pubs.rsc.org/services/images/RSCpubs.ePlatform.Service.FreeContent.ImageService.svc/ImageService/image/GA?id=b922124g'> </P>