Propositions as Made of Words

Words Made Flesh

Executable code existed centuries before the invention of the computer in magic, Kabbalah, musical composition and experimental poetry. These practices are often neglected as a historical pretext of contemporary software culture and electronic arts. Above all, they link computations to a vast speculative imagination that encompasses art, language, technology, philosophy and religion. These spec...

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...

Propositions as Cognitive Acts

Scott Soames My topic is the concept of information needed in the study of language and mind. It is widely acknowledged that knowing the meaning of an ordinary declarative sentence, or the content of a representational mental state, involves knowing which things it represents as being which ways. Knowing this gives one knowledge of the truth conditions of the sentence or state, which are ways t...