Recent work in formal semantics and pragmatics has developed models of how the update of the common ground in conversation is negotiated. One particularly popular framework is the Table Model of Farkas & Bruce (2010) that assumes an automaton next to the common ground with transition rules and the ability to store or delete propositions. I will discuss shortcomings of this framework and propose as an alternative Commitment Spaces (CS, Krifka 2015) that can be understood as traditional common grounds with possible continuations. Starting from the proposal of Krifka (2022), I will first show how reactions like (1) can be modelled. For example, in (1a) Speaker A adds a commitment to the truth of a proposition p to the CS followed by a disjunction of an acceptance of p or an objection against accepting p by B. The denying reaction B: No would lead to non-acceptance of p into the common ground, but the commitment of A to the truth of p would remain.
1.a) A: Tom lives in \Borneo. B: Yes. / Okay. / No.
b) A: Does Tom live in /Borneo?
B: Yes. / No. / *Okay.
c) A: Does Tom live in /Borneo or in \Sumatra?
B: Tom lives in BORneo. / *Yes. / *No. / *Okay.
d) A: Does Tom live in /Borneo or \not?
B: He does. / He doesn’t. ?Yes. / ?No. / *Okay.
I will then discuss options for the modelling of other discourse moves: declarative questions (2a), assertions disjoined with questions (2b), question tags (2c), and high and low negation questions (2d,e).
2.a) A: Tom lives in /Borneo?
b) A: Tom lives in \Borneo, or does he live in /Sumatra?
c) A: Tom lives in \Borneo, doesn’t he?
d) A: Doesn’t Tom live in /Borneo?
e) A: Does Tom /not live in Borneo?
I will furthermore explore options to model certain countermoves: incredulity questions (3a), deaccented doubting questions (3b) and metalinguistic negations of the type (3c) that address the locutionary act.
3.a) A: Tom lives in Borneo.
B: Tom lives in \Bor/neo?
b) A: Tom lebt in Borneo.
B: Wie, Tom lebt in Borneo? (German)
c) A: Tom lives in BorNEo.
B: Tom doesn’t live in BorNEo, he lives in BORneo.
I will finally touch on what it would take to model retractions as in (4) (cf. Bussière-Caraes et al. 2022).
4) A: Tom lives in Borneo. B: Interesting. Does he like it there? A: Well — let me take this back. He lives in Sumatra.
Bussière-Caraes, Lwenn, Incurvati, Luca, Sbardolini, Giorgio, & Schlöder, Julian. 2022. Nevermind: on retraction as a speech act. In Dan Zeman & M Hincu (eds.) Retraction Matters. Springer.
Farkas, Donka, & Kim Bruce. 2010. On reacting to assertions and polar questions. Journal of Semantics 27(1).
Krifka, Manfred 2015. Bias in Commitment Space Semantics: Declarative questions, negated questions, and question tags. SALT 25.
Krifka, Manfred 2022. Adjacency pairs in common ground update: Assertions, questions, greetings, offers, commands. SemDial 26.