NDLI: Pattern minimization problems over recursive data types

Content Provider	ACM Digital Library
Author	Krauss, Alexander
Abstract	In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern matching into minimal sets of independent equations. Since independent equations are valid unconditionally, they are better suited for the equational proof style using induction and rewriting, which is often found in proofs in theorem provers or on paper. We relate the problem to the well-known minimization problem for propositional DNF formulas and show that it is £P/2-complete. We then develop a concrete algorithm to compute minimal patterns, which naturally generalizes the standard Quine-McCluskey procedure to the domain of term patterns.
Ending Page	274
Page Count	8
Starting Page	267
File Format	PDF MP4 MP2 / MPA / MP3
ISBN	9781595939197
DOI	10.1145/1411204.1411242
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2008-09-20
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Theorem proving Pattern matching Complexity
Content Type	Audio Text
Resource Type	Article

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Pattern minimization problems over recursive data types