This e book is devoted to the life and work of the mathematician Joachim Lambek (1922-2014). The editors collect collectively famous consultants to debate the cutting-edge of assorted of Lambek’s works in logic, class concept, and linguistics and to have fun his contributions to these areas over the course of his multifaceted profession.
After early work in combinatorics and elementary quantity concept, Lambek grew to become a distinguished algebraist (notably in ring concept). Within the 1960s, he started to work in class concept, categorical algebra, logic, proof concept, and foundations of computability. In a parallel growth, starting within the late 1950s and for the remainder of his profession, Lambek additionally labored extensively in mathematical linguistics and computational approaches to pure languages. He and his collaborators perfected manufacturing and kind grammars for quite a few pure languages. Lambek grammars kind an early noncommutative precursor to Girard’s linear logic. In a stunning growth (2000), he launched a novel and deeper algebraic framework (which he known as pregroup grammars) for analyzing pure language, together with algebraic, larger class, and proof-theoretic semantics.
This e book is of curiosity to mathematicians, logicians, linguists, and pc scientists.
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