Strict Standards: Non-static method DB::connect() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 32

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Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 34

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Strict Standards: Non-static method DB::isManip() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 2200

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Strict Standards: Non-static method DB::connect() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 32

Strict Standards: Non-static method DB::parseDSN() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB.php on line 520

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB.php on line 557

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Catalogue of Artificial Intelligence Techniques

Catalogue of Artificial Intelligence Techniques

   

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Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 113

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Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 113

Strict Standards: Non-static method DB::isManip() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 2200

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1217

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1666

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB.php on line 1387

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1683

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 113

Strict Standards: Non-static method DB::isManip() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 2200

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Lambda Calculus

Keywords: alpha conversion, beta reduction, terms

Categories: Knowledge Representation


Author(s): Alan Smaill

Various formal systems based on that invented by Church to formalise the properties of functions acting on arguments and being combined to form other functions. This involves `lambda-abstraction'. The function f given by:

f(x)=x+1

can be written using lambda-abstraction as:

f = λx.x+1

so that:

f(1)=(λx.x+1)(1)=2

Application is written as juxtaposition, e.g., fx for f(x) . Terms made up using application and lambda abstraction can be manipulated in various ways, e.g., rename bound variables (alpha conversion), and rewrite (λx.fx)a as fa

(beta reduction). Lambda calculus is the formalism that underlies Lisp.


References:


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Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1666

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB.php on line 1387

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1683

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Comments:


Strict Standards: Non-static method DB::isManip() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 2200

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1217

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1666

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB.php on line 1387

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /usr/share/pear/DB/common.php on line 1683

Strict Standards: Non-static method DB::isError() should not be called statically, assuming $this from incompatible context in /group/project/aicat/web/lib/database.php on line 113
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