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Mutual General Recursion in Type Theory (2002)  (Make Corrections)  
Ana Bove



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Abstract: We show how the methodology presented by Bove for the formalisation of simple general recursive algorithms and extended by Bove and Capretta to treat nested recursion can also be used in the formalisation of mutual general recursive algorithms. The methodology consists of de ning special-purpose accessibility predicates that characterise the inputs on which the algorithms terminate. Each algorithm is then formalised in type theory by structural recursion on the proof that its input satis ... (Update)

Active bibliography (related documents):   More   All
1.1:   Modelling General Recursion in Type Theory - Bove, Capretta (2002)   (Correct)
0.4:   Nested General Recursion and Partiality in Type Theory - Bove, Capretta (2000)   (Correct)
0.4:   Type-Theoretic Functional Semantics - Bertot, Capretta, Barman   (Correct)

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0.5:   Generalised Simultaneous Inductive-Recursive Definitions and their .. - Bove   (Correct)
0.4:   Simple General Recursion in Type Theory - Bove (2000)   (Correct)
0.4:   Alpha Conversion in Simply Typed Lambda Calculus - Bove, SEVERI   (Correct)

BibTeX entry:   (Update)

@misc{ bove-mutual,
  author = "Ana Bove",
  title = "Mutual General Recursion in Type Theory",
  url = "citeseer.ist.psu.edu/bove02mutual.html" }
Citations (may not include all citations):
266   Information and Computation (context) - Coquand, Huet et al. - 1988
233   The formulae-as-types notion of construction (context) - Howard - 1980
85   The ALF proof editor and its proof engine (context) - Magnusson, Nordstr - 1994
43   Termination of nested and mutually recursive algorithms - Giesl - 1997
25   A general formulation of simultaneous inductive-recursive de.. - Dybjer - 2000
25   Type theory and programming - Coquand, Nordstr et al. - 1994
21   s Type Theory (context) - Nordstr, Petersson et al. - 1990
15   Nested general recursion and partiality in type theory - Bove, Capretta - 2001
15   Intuitionistic Type Theory (context) - Martin-L - 1984
7   An Introduction to Inductive De nitions (context) - Aczel - 1977
6   Terminating General Recursion (context) - Nordstr - 1988
4   Licentiate Thesis of the Department of Computer Science (context) - Bove, Martin-L et al. - 1999
3   Simple general recursion in type theory - Bove - 2001
1   Available WWW ftpftp (context) - Gaspes, om et al. - 1994

Documents on the same site (http://www.md.chalmers.se/~bove/):   More
Alpha Conversion in Simply Typed Lambda Calculus - Bove, Severi   (Correct)
A Machine-assisted Proof of the Subject Reduction Property.. - Bove, Tasistro (1995)   (Correct)
A Machine-assisted Proof that Well Typed Expressions Cannot Go Wrong - Bove (1998)   (Correct)

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