Coinductive definitions, such as that of an infinite stream, may often be described by elegant logic programs, but ones for which SLD-refutation is of no value as SLD-derivations fall into infinite loops. Such definitions give rise to questions of lazy corecursive derivations and parallelism, as execution of such logic programs can have both recursive and corecursive features at once. Observational and coalgebraic semantics have been used to study them abstractly. The programming developments have often occurred separately and have usually been implementation-led. Here, we give a coherent semantics-led account of the issues, starting with abstract category theoretic semantics, developing coalgebra to characterize naturally arising trees and proceeding towards implementation of a new dialect, CoALP, of logic programming, characterised by guarded lazy corecursion and parallelism.
|Number of pages||39|
|Journal||Journal of Logic and Computation|
|Early online date||28 May 2014|
|Publication status||Published - Apr 2016|
- Logic programming
- observational semantics
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- School of Mathematical & Computer Sciences - Professor
- School of Mathematical & Computer Sciences, Computer Science - Professor
Person: Academic (Research & Teaching)