All Questions
Tagged with lambda-calculus graph-theory
5 questions
20
votes
1
answer
2k
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What is Chemlambda? In which ways could it be interesting for a mathematician?
I${}^{*}$ have randomly come across a couple of websites (Chemlambda project, chorasimilarity) that seem to be about a certain "thing" (a computer program, I think) called Chemlambda that does "stuff" ...
4
votes
1
answer
967
views
Algebraic structure generated by primitive graph operations
Let $M$ be a finite set, and
$S(M) = \{(f_0, f_1) | f_0, f_1: M → M\}$.
Each element of $S(M)$ can be considered as a finite directed graph with the set of nodes $M$, which has exactly two arrows ...
3
votes
2
answers
790
views
Turing-complete primitive blind automata
Let $N$ be the set of natural numbers, $S$ be the set of finite binary sequences, and
$Q = [N \rightarrow N] \times [N \rightarrow N],$
where $[N \rightarrow N]$ is the set of all computable ...
2
votes
1
answer
286
views
Universality of blind graph rewriting
Let us consider $S(M) = \{(f_0, f_1) | f_0, f_1: M \rightarrow M\}$, where $M$ is a finite set. Each element of $S(M)$ is equivalent to a finite directed
graph with the set of nodes $M$, which has ...
1
vote
0
answers
111
views
Schönhage's SMM with only one instruction
It is possible to implement $\lambda$-calculus in Schönhage's storage modification machine using an infinite set of nodes and one single program consisted exclusively of (about hundred) instructions ...