Friederici (2012) reviewed the chronometry of auditory sentence processing, from auditory perception, recognition of the word form’s lexical status (word v pseudoword, 50-80ms), recognition of the word’s syntactic category, phrase structure building (120-150ms), lexical-semantic access (110-170ms), and latter sentential semantic aspects that deal with the semantic and thematic fit of the sentence (e.g., 200-400ms)

Theories of sentence processing, such as the garden-path theory (Frazier et al., 1982) indicate that we initially consider syntactic aspects, and only when those are processed, we continue with semantic processes. In a divergent manner, the constrained based theory (McDonald, 1994) indicates that all available information in a sentence can be processed at any time, hence, syntactic aspects do not necessarily need to be processed first.  

Now, if 110ms is the time when lexical-semantic access occurs at its earliest, while phrase structure building occurs at its earliest at 120ms, can this mean that in some (?rare) instances lexical-semantic access may occur before or at the same time than phrase structure building?

Refs.

Frazier, L., & Rayner, K. (1982). Making and correcting errors during sentence comprehension: Eye movements in the analysis of structurally ambiguous sentences. Cognitive psychology, 14, 178-210.

Friederici, A. D. (2012). The cortical language circuit: from auditory perception to sentence comprehension. Trends in cognitive sciences, 16(5), 262-268.

MacDonald, M. C., Pearlmutter, N. J., & Seidenberg, M. S. (1994). The lexical nature of syntactic ambiguity resolution. Psychological review, 101, 676.

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