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This document outlines the strategies for determining the differences between original and modified programs, focusing on static mapping and clone analysis. It explores various approaches such as entity name matching, string-based methods, AST-based comparisons, and CFG-based techniques. The motivations for these analyses include validating compiler transformations, regression testing, reverse obfuscation, and detecting code plagiarism. The document also discusses available algorithms and their advantages and limitations, emphasizing the importance of accurately identifying and managing code changes.
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CS590 Z Matching Program Versions Xiangyu Zhang
Problem Statement • Suppose a program P’ is created by modifying P. Determine the difference between P and P’. For an artifact c’ in P’, decide if c’ belongs to the difference, if not, find the correspondence of c’ in P. • Static mapping • Non-trivial • Name comparison? • What if • Clone analysis, comparison checking
Motivations • Validate compiler transformations • Facilitate regression testing • Reverse obfuscation • Information propagation • Debugging • Code plagiarism detection • Information Assurance
Approaches • Static Approaches • Entity name based • String based (MOSS) • AST based (DECKARD) • CFG based (JDIFF) • PDG based (PDIFF) • Binary based (BMAT) • Log based (editor plugin, comparison checking) • Dynamic Approaches (not today)
Static Approaches • Entity name matching • Model a function/field as tuples • Coarse grained matching • String matching • Diff (CVS, Subservion) • Longest common subsequence (LCS) • Available operations are addition and deletion • Matched pairs can not cross one another • Programs are far more complicated than strings • Copy, paste, move • CP-Miner (scale to linux kernel clone detection) • Frequent subsequence mining
MOSS • Code plagiarism detection • It also handles other digital contents • Challenges • White space (variable name) • Noise (“the”, “int i”); • Order scrambling (paragraph reorders) • Problem statement • Given a set of documents, identify substring matches that satisfy two properties: • If there is a substring match at least as long as the guarantee threshold t, then this match is detected; • Do not detect any matches shorter than the noise threshold, k.
MOSS • k-gram • A continuous substring of length k
MOSS • Incremental hashing • Hashing strings of length k is expensive for large k. • “rolling” hash function • The (i+1)th k-gram hash = F (the ith k-gram hash, …)
MOSS • Fingerprint selection • A subset of hash values • Our goals: find all matching substrings >t; ignore matchings <k) • One of every tth hash values • 0 mod p
MOSS • Winnowing • Observation: given a sequence of hashes h1,…hn, if n>t-k, then at least one of the hi must be chosen • Have a sliding window with size w=t-k+1 • In each window select the minimum hash value, break ties by select the rightmost occurrence.
MOSS • Algorithm • Build an index mapping fingerprints to locations for all documents. • Each document is fingerprinted a second time and the selected fingerprints are looked up in the index; this gives the list of all matching fingerprints for each document. • Sort (d,d1,fx), (d, d2,fy) by the first two elements. • Matches between documents are rank-ordered by size (number of fingerprints)
MOSS • Advantages • Guarantee to detect any >t substring matches • Limitations • Minor edits fail MOSS. • x= a*b + c vs. z= c + a*b • Insertion, deletion
AST based matching • [YANG, 1991, Software Practice and Experience] • Given two functions, build the ASTs • Match the roots • If so, apply LCS to align subtrees • Continue recursively • Fragile
DECKARD • Advantages • Scalability • Insensitive to minor structural changes such as reordering, insertion, deletion • Limitations • Structural similarity only • Insertion that incurs structure change.
CFG matching • Hammock graph (JDIFF ,ASE 2004) • Match classes by names • Match fields by types • Match methods by signatures • Match instruction in methods by hammock graphs • A hammock is a single entry single exit subgraph of a CFG.
CFG matching • Pros • Orthogonal • Can be combined with other matching techniques • Simple • Cons • Coarse grained matching only • Not good at clone detection • In case of code transformation
Semantic Based Matched • Using PDG (SAS’01)
Semantic Based • Pros • Non-contiguous, intertwined, reordered • Insensitive to code transformations. • Cons • Scalability • Points-to analysis • Starting from a matching pair seems to be a problem
Wrap Up • For clone detection • Maybe structural / text similarity is a good idea • For whole program matching / method matching with code transformations • Semantic based is more appropriate • Scalability • PDG < CFG | AST < STRING < NAME