The Grail theorem prover: Type theory for syntax and semantics
This provides a practical tool for linguists and computational linguists working on grammar design, though it is incremental as it builds on existing type-logical grammar frameworks.
The paper introduces the Grail theorem prover, a tool for designing and testing grammars in type-logical grammars, which integrates syntax and semantics to address linguistic phenomena like coordination and quantifier scope.
As the name suggests, type-logical grammars are a grammar formalism based on logic and type theory. From the prespective of grammar design, type-logical grammars develop the syntactic and semantic aspects of linguistic phenomena hand-in-hand, letting the desired semantics of an expression inform the syntactic type and vice versa. Prototypical examples of the successful application of type-logical grammars to the syntax-semantics interface include coordination, quantifier scope and extraction.This chapter describes the Grail theorem prover, a series of tools for designing and testing grammars in various modern type-logical grammars which functions as a tool . All tools described in this chapter are freely available.