Predicate Answer Set Programming with Coinduction

We introduce negation into coinductive logic programming (co-LP) via what we term Coinductive SLDNF (co-SLDNF) resolution. We present declarative and operational semantics of co-SLDNF resolution and present their equivalence under the restriction of rationality and its applications to Answer Set Programming (ASP). ASP is a powerful programming paradigm for performing non-monotonic reasoning within logic programming. The current state of ASP solvers has been restricted to "grounded range- restricted function-free normal programs", with a "bottom-up" evaluation strategy (that is, not goal- driven) until now. The introduction of co-LP with co-SLDNF resolution has enabled the development of top-down goal evaluation strategies for ASP. We present a novel and innovative approach to solving ASP programs with co-LP. Our method eliminates the need for grounding, allows functions, and effectively handles a large class of predicate ASP programs including possibly infinite ASP programs. Moreover, it is goal-directed and top-down execution method that provides an innovative and attractive alternative to current ASP solver technology.

Autorentext

Ph.D. in Computer Science from University of Texas at Dallas, MS in CICS from University of Michigan, MBA from Dallas Baptist University, STM from Dallas Seminary, and MDiv from Southwestern Baptist Seminary. He worked on Coinductive Logic Programming, Predicate Answer Set Programming with Coinduction, and Study on Biblical Paradox.