Partial algebras, meaning categories and algebraization

@article{Kracht2006PartialAM,
  title={Partial algebras, meaning categories and algebraization},
  author={Marcus Kracht},
  journal={Theor. Comput. Sci.},
  year={2006},
  volume={354},
  pages={131-141}
}
Many approaches to natural language semantics are essentially model–theoretic, typically cast in type theoretic terms. Many linguists have adopted type theory or many–sorted algebras (see Hendriks 2001 and references therein). However, recently Hodges 2001 has offered an approach to compositionality using just partial algebras. An approach in terms of partial algebras seems at the outset more justified, since the typing is often just artificially superimposed on language (and makes many items… CONTINUE READING