Streaming transducers for algorithmic verification of single pass list processing programs

R. Alur, P. Cerny, in:, ACM, 2011, pp. 599–610.

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Abstract
We introduce streaming data string transducers that map input data strings to output data strings in a single left-to-right pass in linear time. Data strings are (unbounded) sequences of data values, tagged with symbols from a finite set, over a potentially infinite data do- main that supports only the operations of equality and ordering. The transducer uses a finite set of states, a finite set of variables ranging over the data domain, and a finite set of variables ranging over data strings. At every step, it can make decisions based on the next in- put symbol, updating its state, remembering the input data value in its data variables, and updating data-string variables by concatenat- ing data-string variables and new symbols formed from data vari- ables, while avoiding duplication. We establish that the problems of checking functional equivalence of two streaming transducers, and of checking whether a streaming transducer satisfies pre/post verification conditions specified by streaming acceptors over in- put/output data-strings, are in PSPACE. We identify a class of imperative and a class of functional pro- grams, manipulating lists of data items, which can be effectively translated to streaming data-string transducers. The imperative pro- grams dynamically modify a singly-linked heap by changing next- pointers of heap-nodes and by adding new nodes. The main re- striction specifies how the next-pointers can be used for traversal. We also identify an expressively equivalent fragment of functional programs that traverse a list using syntactically restricted recursive calls. Our results lead to algorithms for assertion checking and for checking functional equivalence of two programs, written possibly in different programming styles, for commonly used routines such as insert, delete, and reverse.
Publishing Year
Date Published
2011-01-26
Volume
46
Issue
1
Page
599 - 610
Conference
POPL: Principles of Programming Languages
Conference Location
Texas, USA
Conference Date
2011-01-26 – 2011-01-28
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Cite this

Alur R, Cerny P. Streaming transducers for algorithmic verification of single pass list processing programs. In: Vol 46. ACM; 2011:599-610. doi:10.1145/1926385.1926454
Alur, R., & Cerny, P. (2011). Streaming transducers for algorithmic verification of single pass list processing programs (Vol. 46, pp. 599–610). Presented at the POPL: Principles of Programming Languages, Texas, USA: ACM. https://doi.org/10.1145/1926385.1926454
Alur, Rajeev, and Pavol Cerny. “Streaming Transducers for Algorithmic Verification of Single Pass List Processing Programs,” 46:599–610. ACM, 2011. https://doi.org/10.1145/1926385.1926454.
R. Alur and P. Cerny, “Streaming transducers for algorithmic verification of single pass list processing programs,” presented at the POPL: Principles of Programming Languages, Texas, USA, 2011, vol. 46, no. 1, pp. 599–610.
Alur R, Cerny P. 2011. Streaming transducers for algorithmic verification of single pass list processing programs. POPL: Principles of Programming Languages vol. 46. 599–610.
Alur, Rajeev, and Pavol Cerny. Streaming Transducers for Algorithmic Verification of Single Pass List Processing Programs. Vol. 46, no. 1, ACM, 2011, pp. 599–610, doi:10.1145/1926385.1926454.

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