The combinatory-algebra tag has no usage guidance.

**5**

votes

**0**answers

155 views

### Proper full submodels of full models of type theory

Let $N$ be the standard full model of the simply typed lambda calculus with infinite base type $o$ and let $X$ be an infinite and coinfinite subset of $N(o)$. I want to know if there's a full ...

**1**

vote

**1**answer

138 views

### combinator SSS(SS)SS is not strongly normalizing. Why?

I highly speculate that combinator SSS(SS)SS is not strongly normalizing. What is the argument for the non strong normalization?

**13**

votes

**6**answers

29k views

### Difference between a 'calculus' and an 'algebra'

What is really the conceptual difference between a calculus and an algebra.
Eg. Is SKI combinator calculus really a calculus?
A friend claims that free variables are fundamental for a calculus, and ...