Titlebook: Introduction to Formal Grammars; Maurice Gross,André Lentin Book 1970 Springer-Verlag Berlin · Heidelberg 1970 Finite.Monoid.Morphism.Semi

Schlemms-Canal

crumble

Words — Monoids — LanguagesWhen we read or write a mathematical text, we employ a certain number of marks and conventions which are more or less well-defined and more or less expressed — if not simply left understood — and which enable mathematicians to understand each other.

annexation

Indicative

Combinatorial Systems and Turing Machines; Undecidable ProblemsWe have presented two of the mathematical entities which were specifically created for formalizing the intuitive notion of computability, namely :.and we have also pointed out that the concept of a Turing machine is equivalent to that of a recursive function. We shall now show that it is also equivalent to the concept of a combinatorial system.

CANON

Languages Defined by Systems of EquationsIn connection with languages, we defined a certain number of operations, among them:

破裂

整体

Homomorphisms of MonoidsThis chapter sets forth some concepts of algebra which will be used frequently in what follows.

类人猿

More about Kleene LanguagesLet V. be a terminal alphabet. We define a language K. by the following conditions:

BUDGE

More about Context-Free LanguagesLet ? = {a, b,...} and ?’ = {a’, b’,...} be two finite, disjunct alphabets of the same cardinality whose letters are coupled two-by-two: a with a’, etc. We set ? = ? ∪ ?’.

胆汁

Algebraic LanguagesIn Chapter 11 the concept of a formal power series whose terms are associative but not commutative monomials was introduced from a heuristic point of view. We then indicated (somewhat intuitively) some of the applications that could be made of power series to the CF-languages.