Propositions in theatre: Theatrical utterances as events

Norms, Normative Utterances, and Normative Propositions

It is argued that the distinction between the normative and the descriptive interpretation of norm sentences can be regarded as a distinction between two kinds of utterances. A norm or a directive has as its content a normative proposition. A normative (performative) utterance of a normative proposition in appropriate circumstances makes the proposition true, and an assertive (descriptive) utte...

Austinian Propositions, Davidsonian Events and Perception Complements

Propositions as Types

Image factorizations in regular categories are stable under pullbacks, so they model a natural modal operator in dependent type theory. This unary type constructor [A] has turned up previously in a syntactic form as a way of erasing computational content, and formalizing a notion of proof irrelevance. Indeed, semantically, the notion of a support is sometimes used as surrogate proposition asser...

Explorer Propositions as Types

Sessions as Propositions

Recently, Wadler presented a continuation-passing translation from a session-typed functional language, GV, to a process calculus based on classical linear logic, CP. However, this translation is one-way: CP is more expressive than GV. We propose an extension of GV, called HGV, and give translations showing that it is as expressive as CP. The new translations shed light both on the original tra...