eyelet

eye reasoning in prolog

• besides top-down reasoning with conclusion :- premise rules, eyelet also supports bottom-up reasoning with conclusion :+ premise rules
• variables are interpreted universally except for conclusion :+ premise conclusion-only variables which are interpreted existentially
• linear implication is done with becomes(from_conjunction, to_conjunction)
• bottom-up reasoning can use stable(n) to fail if the deductive closure at level n is not yet stable
• bottom-up reasoning steps are performed as step((conclusion :+ premise), premise_inst, conclusion_inst)
• queries are posed as true :+ premise and answered as answer(premise_inst)
• inference fuses are defined as false :+ premise and blown as fuse(premise_inst) with return code 2

Rationale for bottom-up reasoning

• conclusion can be a conjunction
• conclusion can be false to blow an inference fuse
• conclusion can be true to pose a query
• conclusion-only variables are existentials
• performing bottom-up proof steps step/3
• avoiding loops that could occur with top-down reasoning

Testing

• install SWI-Prolog
• run ./test to go from ./input/ to ./output/

or

• install Trealla Prolog
• run ./test-trealla to go from ./input/ to ./output-trealla/

or

• install Scryer Prolog
• run ./test-scryer to go from ./input/ to ./output-scryer/