To clarify, the grammatico-semantic model assumes a bijective or one-to-one relation between LG features and semantic features, while the discourse semantic model allows for multivalued or one-to-many relations between DS features and LG features. The latter is consistent with MAKH’s model of congruent/incongruent relations between semantic features and LG features. This was described in Ch10 of IFG1/2 but was replaced in IFG3/4 by ‘‘transgrammatical semantic domains’, which relocates multivalued realisation from an interstratal to an intrastratal relation within semantics.
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[1] To be clear, by the 'grammatico-semantic' model, Rose means the 'standard model' of SFL Theory: the stratification of the content plane into lexicogrammar and semantics.
[2] This is very misleading, because it is very untrue. On the 'standard model', one semantic system may be realised across many lexicogrammatical systems. Halliday & Matthiessen (2014: 667) term this 'dispersed realisation':
[3] To be clear, the discourse semantic systems of IDENTIFICATION, IDEATION and CONJUNCTION are Martin's rebrandings of Halliday & Hasan's (1976) textual lexicogrammatical systems of REFERENCE, LEXICAL COHESION and COHESIVE CONJUNCTION. Unsurprisingly, the grammatical realisations of these discourse semantic systems are not specified in either Martin (1992) or in Martin & Rose (2007); see here and here.
[4] On the one hand, one-to-many relations between discourse semantics and lexicogrammar is a different matter from congruent/incongruent relations, since the latter, but not the former, is the contrast between non-metaphorical and metaphorical realisations.
On the other hand, this is misleading, because it is untrue. Martin's model is not consistent with Halliday's model of congruent/incongruent relations, because it does not identify what constitutes congruent versus incongruent grammatical realisations of its discourse semantic systems. (NEGOTIATION is Martin's rebranding of Halliday's semantic system SPEECH FUNCTION.)
[5] This is very misleading, because it is very untrue. 'Transgrammatical semantic domains' did not replace 'congruent/incongruent relations' in IFG3/4. Halliday & Matthiessen (2014: 665):
Table 10-1 shows how semantic units are mapped onto grammatical ones. The principle is that of rank-based constituency – semantic unit a ↘ grammatical unit m; the key grammatical unit is the clause, as shown diagrammatically in Figure 10-1. But while this is the foundation on which the relationship between semantics and lexicogrammar is based, there are two other principles affecting this relationship, making it more complicated but also extending the meaning potential of language:
(i) transgrammatical semantic domains – domains of meaning extending across different grammatical units, and(ii) metaphor – incongruent realisational relations between semantics and lexicogrammar.
[6] This is very misleading, because it is very untrue. As the term 'transgrammatical semantic domains' suggests, it describes interstratal relations: 'semantic domains that range over more than a single grammatical unit' (ibid.)
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