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This item has been added to your basket View basket Checkout. Added to basket. Logic in Computer Science. Michael Huth. Foundation Mathematics.
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Revised Report On The Algorithmic Language Algol 68
Donald E. The Algorithm Design Manual. Steve S. Sets, Logic and Maths for Computing. David Makinson. Robert E.
The presence of a priority definition makes it possible to establish priority relations between the infix operators introduced. The identity definition, which is typical of Algol, is a general construction for defining variables, for assigning initial values, for the transmission of actual parameters in procedures and for creating synonyms.
An expression in Algol may contain an assignment statement, or any sequence of statements that produces a value.
Together with the possibility of computing names and procedures, and also by the introduction of parenthesis pairs for conditional expressions, this permits Algol constructions such as illustrated by the following example:. An Algol program consists of closed, serial, conditional and collateral clauses. The first three types of clauses generalize such Algol concepts as block, compound statement and conditional expression and statement.
Collateral clauses signify non-ordered sets of component phrases and are used, in particular, to indicate parallel branches in the course of execution of the program. The description of the semantics of Algol is characterized by a profound analysis of the principal concepts of algorithmic languages, which makes it possible to give a description of the execution of a program using of a small number of independent fundamental concepts.
The objects may be external with respect to the structure of the program and internal data, including procedures and names. The relations between external E and internal.
ALGOL 60 References
The execution of a program is described in terms of the relations thus introduced as a function of the analysis of the program. A typical syntactic feature of Algol is that it is given in the form of a two-level grammar, in which the Algol production rules are themselves well-formed texts in some meta-language, defined by its own generating grammar. For example, grammatical rules of Algol may have the following form:.
The capitalized words, called "metanotions" , are the grammatical units of the meta-language, whose production rules may have forms such as:. Some of the concepts of the meta-language, such as MODE, can have an infinite number of productions. The proper production rules of Algol are obtained by systematically replacing the metanotions of the meta-language in the syntax rules by some terminal production of these metanotions.
The resulting rules, in the meta-linguistic notation of Algol, may have, for example, the following form:. The use of a two-level grammar makes it possible, first, to reduce the number of production rules of the same type and, secondly, to give a syntactic expression to the attributive information of the notions and to ensure contextual relations which must otherwise be formulated as context conditions static semantics.