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4 papers
Cobordisms and commutative categorial grammars
Sergey Slavnov
We propose a concrete surface representation of abstract categorial grammars in the category of word cobordisms or cowordisms for short, which are certain bipartite graphs decorate…
Classical linear logic, cobordisms and categorial grammars
Sergey Slavnov
We propose a categorial grammar based on classical multiplicative linear logic. This can be seen as an extension of abstract categorial grammars (ACG) and is at least as expressive…
Abstract categorial grammars with island constraints and effective decidability
Sergey Slavnov
A well-known approach to treating syntactic island constraints in the setting of Lambek grammars consists in adding specific bracket modalities to the logic. We adapt this approach…
Classical linear logic, cobordisms and categorical semantics of categorial grammars
Sergey Slavnov
We propose a categorial grammar based on classical multiplicative linear logic. This can be seen as an extension of abstract categorial grammars (ACG) and is at least as expressive…