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Rather than a procedural paradigm, where one program has a loop that is activated only one time, the declarative paradigm used by Jess applies a set of rules to a set of facts continuously by a process named pattern matching. Rules can modify the set of facts, or can execute any Java code. It uses the Rete algorithm [1] to execute rules.
Thus, it is useful for pattern-matching, semantic extraction, and many other operations over syntactic trees such as those produced by natural language parsers. JAPE is a version of CPSL – Common Pattern Specification Language. A JAPE grammar consists of a set of phases, each of which consists of a set of pattern/action rules.
It is written in the Java programming language and released under the GNU GPL. It is claimed that Jape is the most popular program for "computer-assisted logic teaching" that involves exercises in developing proofs in mathematical logic .
Also, it allows patterns to be passed as arguments and returned as results. Uniform access is illustrated by a pattern-matching function size that computes the size of an arbitrary data structure. In the notation of the programming language bondi, it is given by the recursive function
The numbers along the left edge of the triangle are the lazy caterer's sequence and the numbers along the right edge are the triangular numbers. The nth row sums to n(n 2 + 1)/2, the constant of an n × n magic square (sequence A006003 in the OEIS).
Rather than having a single instance per application (e.g. the java.lang.Runtime object in the Java programming language) the multiton pattern instead ensures a single instance per key. The multiton pattern does not explicitly appear as a pattern in the highly regarded object-oriented programming textbook Design Patterns. [1]
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