Algorithmic language: Różnice pomiędzy wersjami
Z Lem
(Utworzono nową stronę "Language of algorithmic logic or, briefly, algorithmic language is an extension of the language of first-order logic. As usual, in order to define an algirithmic langua...") |
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* the set of auxiliary symbols, such as parentheses, semicolon, etc. | * the set of auxiliary symbols, such as parentheses, semicolon, etc. | ||
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Wersja z 18:06, 10 kwi 2014
Language of algorithmic logic or, briefly, algorithmic language is an extension of the language of first-order logic. As usual, in order to define an algirithmic language one has to define two sets:
- the alhabet [math]\mathcal{A}[/math], i.e. the set of atomic symbols,
- the set of well formed expressions, a subset of [math]\mathcal{A}*[/math].
In fact, we shall consider a family of algorithmic languages that share some common structure. Any alphabet has these subsets:
- the set [math]V[/math] of variables,
- the set [math]\Phi[/math] of functors,
- the set of [math]P[/math] predicates (i.e. of relational symbols),
- the set of [math]L[/math] logical connectives
- the set of [math]S[/math] program connectives
- the set of auxiliary symbols, such as parentheses, semicolon, etc.
