First-Order Logic
A formal system that extends propositional logic with quantifiers (∀, ∃) and predicate and function symbols. It can express structured statements and serves as the basis for formalizing logic reasoning problems and performing equivalence transformations.
Timeline (last 90 days)
LGMT is an open-source tool that detects reasoning inconsistencies in large language models through metamorphic relations based on first-order logic.
LGMT has 20 built-in metamorphic relations built on first-order logic, such as swapping the order of premises, substituting equivalent propositions, and adjusting quantifier structure.
TwIL-LM is a small model from webAI, specifically designed for automatic formalization tasks, taking English sentences as input and outputting first-order logic expressions.
The ambiguity, implicit premises, and context-dependency of natural language cannot always be cleanly mapped to first-order logic, which is a translation boundary challenge for this architecture.
All Facts (4)
LGMT is an open-source tool that detects reasoning inconsistencies in large language models through metamorphic relations based on first-order logic.
50%UnverifiedLGMT has 20 built-in metamorphic relations built on first-order logic, such as swapping the order of premises, substituting equivalent propositions, and adjusting quantifier structure.
50%UnverifiedTwIL-LM is a small model from webAI, specifically designed for automatic formalization tasks, taking English sentences as input and outputting first-order logic expressions.
50%UnverifiedThe ambiguity, implicit premises, and context-dependency of natural language cannot always be cleanly mapped to first-order logic, which is a translation boundary challenge for this architecture.
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