“Same Fringe” Revisited

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The fringe of a binary tree is simply the sequence of leaves reading from left to right [1]. Comparing the fringe of two binary trees to see if they are the same has been described as the simplest problem that requires multiprocessing or coroutines to easily solve [2]. The challenge is to stop the comparison […]

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Producer/Consumer Rate-Matching

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Flow control is a critical feature in a network of asynchronous communicating processes. Our fanciful exploration of a yak-shaving barber’s shop provided us with patterns we can apply to more general problems. The bounded-buffer mechanism is a generalization of our barber’s waiting room. It mediates between producers and consumers, matching the rate of production with […]

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Finger Tree: A Functional Value Object

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A Finger Tree is a data-structure that supports amortized O(1) additional and removal of elements from either end [1]. It also can support a large number of common sequence operations, including concatenation, very efficiently. Our implementation is based on the Hinze-Paterson structure [2], simplified for use as a Deque. It is possible to implement a […]

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Parsing Expression Grammars, part 3

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We build on the parsers from part 2 of this series to enhance and extend their capability. In particular, we extend the concept of modular grammars to construct chains of parsers which define a multi-stage transformation pipeline. The parsers forming these chain are enhanced to match and transform tree-structures, rather than being limited to simple […]

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Parsing Expression Grammars, part 2

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It’s usually not enough to simply recognize patterns in an input stream. Soon we will want to take action based on what we recognize. In order to facilitate this, we will begin creating semantic values from the input tokens and trigger semantic actions when certain patterns are recognized. In part 1 of this series we […]

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Parsing Expression Grammars, part 1

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Parsing Expression Grammars (PEGs) define a powerful class of matchers for recognizing strings of a formal language [1]. They’re well suited to parsing the syntax of computer languages. PEG-based tools like OMeta [2] have been successfully applied to a wide variety of transformation problems [3] [4]. The fundamental elements of PEGs can be described compactly […]

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Solving “Same Fringe” with Stream Generators

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A classic problem in concurrent programming is known as the “same fringe” problem [1]. What is the same fringe problem? As described by Richard Gabriel [2]: The samefringe problem is this: two binary trees have the same fringe if they have exactly the same leaves reading from left to right. There are many different approaches […]

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