Search

• < Previous
• 1
• Next >

---

Nominal Coalgebraic Data Types with Applications to Lambda Calculus

Alexander Kurz ; Daniela Luan Petrişan ; Paula Severi ; Fer-Jan de Vries.

We investigate final coalgebras in nominal sets. This allows us to define types of infinite data with binding for which all constructions automatically respect alpha equivalence. We give applications to the infinitary lambda calculus.

---

Encoding many-valued logic in $\lambda$-calculus

Fer-Jan de Vries.

We will extend the well-known Church encoding of Boolean logic into $\lambda$-calculus to an encoding of McCarthy's $3$-valued logic into a suitable infinitary extension of $\lambda$-calculus that identifies all unsolvables by $\bot$, where $\bot$ is a fresh constant. This encoding refines to&nbsp;[&hellip;]

---