# Tagged Questions

**4**

votes

**1**answer

426 views

### Deciding equivalence of regular languages

Given two regular expressions $R$ and $S$ on an alphabet $\Sigma$ it is possible to decide their equivalence as follows:
build two finite automata $M_R$ and $M_S$ such that $L(R) = L(M_R)$ and $L(S) ...

**5**

votes

**2**answers

569 views

### Rabin's Tree Theorem

I've been reading Rabin's article on decidability in Barwise's text, and I came across Rabin's discussion of the decidability proof of his tree theory: the second-order theory with two successor ...

**1**

vote

**2**answers

363 views

### Translate a buchi automaton to LTL

How can I translate a Büchi automaton A to LTL(linear temporal logic) if $L(A)$ is definable in the LTL?
MY idea is : Büchi automaton $A$ ===> QPTL ===> LTL
I know that given any Buchi ...

**3**

votes

**2**answers

767 views

### Are context-free languages with context-free complements necessarily deterministic context-free?

Let $L \subseteq A^\star$ be a formal language over $A$ generated by a context-free grammar, and $L' = A^\star - L$ be the relative complement in $A^\star$.
If $L$ and $L'$ are both context-free, are ...

**2**

votes

**1**answer

434 views

### Study of free monoids of the recursive S. Eilenberg.

Compared to the usual treatises on recursion (eg, Rogers H. "Computability and Undecidability." McGraw-Hill, New York) the book of Samuel Eilenberg & Calvin C. Elgot "Recursiveness" treats such ...

**11**

votes

**1**answer

525 views

### Complementation of $\omega$-regular languages in reverse mathematics

Does anyone know where Büchi's theorem that $\omega$-regular languages are closed under complementation fits into the reverse-mathematics classification scheme? That is, is it equivalent over ...

**3**

votes

**5**answers

1k views

### Theory mainly concerned with $\lambda$-calculus?

Automata theory is mainly concerned with Turing machines and all its relatives-in-spirit. $\lambda$-calculus is rather rarely mentioned in textbooks on automata theory.
What's the common name of the ...