diff --git a/semester4/Beta/main.pdf b/semester4/Beta/main.pdf new file mode 100644 index 0000000..0388758 Binary files /dev/null and b/semester4/Beta/main.pdf differ diff --git a/semester4/Beta/main.tex b/semester4/Beta/main.tex new file mode 100644 index 0000000..66e8c7e --- /dev/null +++ b/semester4/Beta/main.tex @@ -0,0 +1,24 @@ +\documentclass{article} +\usepackage{fontspec} +\usepackage{amsmath} +\setmainfont[Mapping=tex-text,Ligatures=TeX]{CMU Serif} +\usepackage[left=10mm, top=10mm, right=10mm, bottom=10mm, nohead, nofoot]{geometry} + +\date{} +\newtheorem{problem}{Задача} + +\title{Beta-reduction} + +\begin{document} +\maketitle +\begin{problem} +Выполнить бета-редукцию λ-терма ((λa.(λb.b b) (λb.b b)) b) ((λc.(c b)) (λa.a)) +\end{problem} + +\Large +\noindent +((λa.(λb.b b) (λb.b b)) b) ((λc.(c b)) (λa.a)) $\underset{\beta}{\longrightarrow}$ (λb.b b) (λb.b b) ((λc.(c b)) (λa.a)) $\underset{\beta}{\longrightarrow}$ +(λb.b b) (λb.b b) ((λa.a) b) $\underset{\beta}{\longrightarrow}$ (λb.b b) (λb.b b) b + + +\end{document} \ No newline at end of file