Okay, show of hands, who still remembers my post on logical transductions from over a month ago? Everyone? Wonderful, then let’s dive into an issue that I’ve been thinking about for a while now. In the post on logical transductions, we saw that the process of rewriting one structure as another can itself be encoded as a structure. Something that we intuitively think of in dynamic terms as a process has been converted into a static representation, like a piece of fossilized computation. Once we look at representations as fossilized computations, the question becomes: what kind of computational fossils are linguistic representations?

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I know I promised you guys a follow-up post on logical transductions and the status of representations, but I just have to get this out first because it’s been gnawing at me for a few weeks now. There’s been some limitations of the subregular view of syntax in terms of movement tiers, and I think I’ve found a solution, one that somehow ends up looking a bit like the system in Beyond Explanatory Adequacy. The thing is, my solution is so simple that I fear I’m missing something very basic, some clear-cut empirical phenomenon that completely undermines my purported solution. So, syntacticians, this is your opportunity to sink my current love child in the comments section…

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Since we recently a had a post about Engelfriet’s work on transductions and logic, I figured I’d add a short tutorial that combines the two and talks a bit about logical transductions. I won’t touch on concrete linguistic issues in this post, but I will briefly dive into some implications for how MGs push PF and LF directly into “syntax” (deliberate scare quotes). I also have an upcoming post on representations and features that is directly informed by the logical transduction framework. So if you don’t read anything here unless it engages directly with linguistics, you might still want to make an exception this time, even if today’s post is mostly logic and formulas.

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This is a very short follow-up to my previous post on circumambient patterns in syntax. I just realized that there’s another, very robust example that makes all the cases look even more mundane: complementizer alternations in English relative clauses.

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Last week I gave an invited talk at UMass on the subregular program and the computational parallels it reveals between syntax and phonology. If you’re curious, the slides are on my website. The talk went over a lot better than I expected, and there were lots of great questions. UMass has a tradition of letting students ask questions first before the faculty get to chime in, and the students were relentless in a good way. I think there was only 5 minutes left for faculty questions at the end. It was a great experience, and probably the best question period I’ve ever been on the receiving end of.

Anyways, after the colloquium Brian Dillon asked a few questions about more complex movement cases, and those are very interesting because they’re yet another instance of computational parallelism between phonology and syntax: tone plateauing = movement-driven complementizer agreement.

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As you might know, Stony Brook hosted AMP, the American Meeting on Phonology, a week ago quite a while ago (yikes, almost November again). Jane Chandlee started off the conference with an invited talk on the subregular view of phonological mappings from underlying representations to surface forms. It was well received, but during the question period Bruce Hayes (no, not that Bruce Hayes) made a point that I found puzzling: “You need a framework!” Unfortunately I didn’t have time to ask Bruce afterwards what exactly he meant by that. But every conceivable interpretation I’ve come up with I vehemently disagree with, and I think Bruce’s demand for a framework stems from incorrectly applying the linguistic modus operandi to computational work.

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Oh boy, this month is killing me. I know I promised you one more detailed discussion of subregular complexity before we finally get back to the topic that started it all, Omer Preminger’s post on listedness. But in the interest of time I’ll merge those two posts into one. That means some points will be a bit more hazy than I’d like, but I think it will work just fine nevertheless (and for those of you sick of this series of posts, we’ll get to something new sooner). Alright, with that out of the way, here’s the basic question: why aren’t PF and LF more alike?

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The previous post in this series discussed the lay of the (is)land from the perspective of TSL (I’m so disappointed in myself for not making this pun last time; better late than never). I mentioned that the TSL view cannot handle all island constraints. Sometimes, we need an alternative approach. But this alternative approach doesn’t come out of nowhere. It is also what we need for all kinds of licensing constraints, and it also handles restrictions on movement that are not island constraints.

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In the previous post we saw Merge is SL-2 over dependency trees, and Move is TSL-2. For every movement feature f we project a separate tier that contains only lexical items that have a licensor feature f⁺ or a licensee feature f^-. A tier is well-formed iff every lexical item with a licensee feature has a mother with a licensor feature, and every lexical item with a licensor feature has exactly one lexical item among its daughters that carries a licensee feature. It’s a pretty simple system. Despite that simplicity, it predicts a fundamental aspect of movement: island effects!

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Alright, syntax. Things are gonna get a bit more… convoluted? Nah, interesting! In principle we’ll see a lot of the same things as in phonology, and that’s kind of the point: phonology and syntax are actually very similar. But syntax isn’t quite as exhibitionist as phonology, it doesn’t show off its subregular complexity in the open for the world to see. So the first thing we’ll need is a suitable representation. Once we have that, it’s pretty much phonology all over again, but now with trees.

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