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Algorithmic logic is a calculus in which one can express the semantical properties of programs and it allows to construct proofs of the formulas. In this way one can prove property like correctness by proving the corresponding formula that express the property.
 
Algorithmic logic is a calculus in which one can express the semantical properties of programs and it allows to construct proofs of the formulas. In this way one can prove property like correctness by proving the corresponding formula that express the property.
 
== Structure of AL ==
 
== Structure of AL ==
An algorithmic logic is a pair <math>\mathcal{AL} = \langle \mathcal{L}, \mathcal{C} \rangle </math>, where <math>\mathcal{L} </math> is  a formalized language of algorithmic logic and  
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An algorithmic logic is a pair <math>\mathcal{AL} = \langle \mathcal{L}, \mathcal{C} \rangle </math>, where <math>\mathcal{L} </math> is  a formalized language of algorithmic logic and <math>\mathcal{C} </math> is i a logical consequence operation defined by the notions of logical axioms, inference rules and the notion of (formal) proof.
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== History ==
 
== History ==
 
The origins of algorithmic logic go to papers of Yanov, H. Thiele, Erwin Engeler.
 
The origins of algorithmic logic go to papers of Yanov, H. Thiele, Erwin Engeler.
 
In 1969 the program of research was formulated in the Ph.D.  thesis of A. Salwicki.
 
In 1969 the program of research was formulated in the Ph.D.  thesis of A. Salwicki.
 
[[Category:Algorithmic Logic]]
 
[[Category:Algorithmic Logic]]

Wersja z 09:07, 12 kwi 2014

Algorithmic logic is a calculus in which one can express the semantical properties of programs and it allows to construct proofs of the formulas. In this way one can prove property like correctness by proving the corresponding formula that express the property.

Structure of AL

An algorithmic logic is a pair [math]\mathcal{AL} = \langle \mathcal{L}, \mathcal{C} \rangle [/math], where [math]\mathcal{L} [/math] is a formalized language of algorithmic logic and [math]\mathcal{C} [/math] is i a logical consequence operation defined by the notions of logical axioms, inference rules and the notion of (formal) proof.


History

The origins of algorithmic logic go to papers of Yanov, H. Thiele, Erwin Engeler. In 1969 the program of research was formulated in the Ph.D. thesis of A. Salwicki.