Complexity classes of provable recursive functions
โ Scribed by Dan Gordon
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 582 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0022-0000
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๐ SIMILAR VOLUMES
We give lower bounds on the complexity of certain Datalog queries. Our notion of complexity applies to compile-time optimization techniques for Datalog; thus, our results indicate limitations of these techniques. The main new tool is linear first-order formulas, whose depth (respectively, number of
## Abstract It is shown that all the provably total functions of Basic Arithmetic BA, a theory introduced by Ruitenburg based on Predicate Basic Calculus, are primitive recursive. Along the proof a new kind of primitive recursive realizability to which BA is sound, is introduced. This realizability